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(1:m)[abs(t) > 10^(-6)] # z[II] <- log( 1 + ((exp(t) - 1) * u[II])) / t # II <- (1:m)[abs(t) <= 10^(-6)] # z[II] <- u[II] + t * u[II]*(1-u[II])/2 # return(z) # } logcondens/R/activeSetLogCon.r0000644000176200001440000000444114756145523016041 0ustar liggesusersactiveSetLogCon <- function(x, xgrid = NULL, print = FALSE, w = NA) { prec <- 1e-10 xn <- sort(x) if ((!identical(xgrid, NULL) & (!identical(w, NA)))) { stop("If w != NA then xgrid must be NULL!\n") } if (identical(w, NA)) { tmp <- preProcess(x, xgrid = xgrid) x <- tmp$x w <- tmp$w sig <- tmp$sig } if (!identical(w, NA)) { tmp <- cbind(x, w) tmp <- tmp[order(x), ] x <- tmp[, 1] w <- tmp[, 2] est.m <- sum(w * x) est.sd <- sum(w * (x - est.m)^2) est.sd <- sqrt(est.sd * length(x) / (length(x) - 1)) sig <- est.sd } n <- length(x) phi <- LocalNormalize(x, 1:n * 0) IsKnot <- 1:n * 0 IsKnot[c(1, n)] <- 1 res1 <- LocalMLE(x = x, w = w, IsKnot = IsKnot, phi_o = phi, prec = prec) phi <- res1$phi L <- res1$L conv <- res1$conv H <- res1$H iter1 <- 1 while ((iter1 < 500) & (max(H) > prec * mean(abs(H)))) { IsKnot_old <- IsKnot iter1 <- iter1 + 1 tmp <- max(H) k <- (1:n) * (H == tmp) k <- min(k[k > 0]) IsKnot[k] <- 1 res2 <- LocalMLE(x, w, IsKnot, phi, prec) phi_new <- res2$phi L <- res2$L conv_new <- res2$conv H <- res2$H while ((max(conv_new) > prec * max(abs(conv_new)))) { JJ <- (1:n) * (conv_new > 0) JJ <- JJ[JJ > 0] tmp <- conv[JJ] / (conv[JJ] - conv_new[JJ]) lambda <- min(tmp) KK <- (1:length(JJ)) * (tmp == lambda) KK <- KK[KK > 0] IsKnot[JJ[KK]] <- 0 phi <- (1 - lambda) * phi + lambda * phi_new conv <- pmin(c(LocalConvexity(x, phi), 0)) res3 <- LocalMLE(x, w, IsKnot, phi, prec) phi_new <- res3$phi L <- res3$L conv_new <- res3$conv H <- res3$H } phi <- phi_new conv <- conv_new if (sum(IsKnot != IsKnot_old) == 0) { break } if (print == TRUE) { print(paste("iter1 = ", iter1 - 1, " / L = ", round(L, 4), " / max(H) = ", round(max(H), 4), " / #knots = ", sum(IsKnot), sep = "" )) } } Fhat <- LocalF(x, phi) res <- list( xn = xn, x = x, w = w, phi = as.vector(phi), IsKnot = IsKnot, L = L, Fhat = as.vector(Fhat), H = as.vector(H), n = length(xn), m = n, knots = x[IsKnot == 1], mode = x[phi == max(phi)], sig = sig ) return(res) } logcondens/R/ROCx.r0000644000176200001440000000073214756145525013624 0ustar liggesusersROCx <- function(x, res0, res1, smooth = FALSE) { qs0 <- quantilesLogConDens(1 - x, res0) if (identical(smooth, FALSE)) { c <- 3 } if (identical(smooth, TRUE)) { c <- 5 } F1 <- evaluateLogConDens(qs0[, "quantile"], res1, which = c, gam = NULL, print = FALSE) if (identical(smooth, FALSE)) { roc.x <- 1 - F1[, "CDF"] } if (identical(smooth, TRUE)) { roc.x <- 1 - F1[, "smooth.CDF"] } return(as.numeric(roc.x)) } logcondens/R/J00.r0000644000176200001440000000127714756145524013346 0ustar liggesusersJ00 <- function(x, y, v = 1) { m <- length(x) z <- exp(x) d <- y - x II <- (1:m)[abs(d) > 0.005] z[II] <- z[II] * (exp(v * d[II]) - 1) / d[II] II <- (1:m)[abs(d) <= 0.005] z[II] <- z[II] * (v + d[II] * (v / 2 + d[II] * (v / 6 + d[II] * (v / 24 + d[II] * v / 120)))) return(z) } # version prior to e-mails of LD of August 2010 # J00 <- function(x, y, v = 1){ # m <- length(x) # z <- exp(x) # d <- y - x # II <- (1:m)[abs(d) > 10 ^ (-6)] # z[II] <- z[II] * (exp(v * d[II]) - 1) / d[II] # II <- (1:m)[abs(d) <= 10 ^ (-6)] # z[II] <- z[II] * (v + v ^ 2 * d[II]/2 + v ^ 3 * d[II] ^ 2 / 6) # return(z) # } logcondens/R/logConROC.R0000644000176200001440000000217714756145525014543 0ustar liggesuserslogConROC <- function(cases, controls, grid, smooth = TRUE) { m <- length(controls) n <- length(cases) res0 <- logConDens(controls, smoothed = smooth, print = FALSE) res1 <- logConDens(cases, smoothed = smooth, print = FALSE) qs0 <- quantilesLogConDens(1 - grid, res0) F1 <- evaluateLogConDens(qs0[, "quantile"], res1, which = c(3, 5), gam = NULL, print = FALSE) ## ROC curve rocLogCon <- 1 - F1[, "CDF"] ## manually adjust rocLogCon[grid == 0] <- 0 rocLogCon[grid == 1] <- 1 ## compute AUC auc <- integrate(f = ROCx, lower = 0, upper = 1, res0 = res0, res1 = res1, smooth = FALSE)$value ## same program for smoothed version rocLogConSmooth <- NA aucSmooth <- NA if (identical(smooth, TRUE)) { rocLogConSmooth <- 1 - F1[, "smooth.CDF"] rocLogConSmooth[grid == 0] <- 0 rocLogConSmooth[grid == 1] <- 1 aucSmooth <- integrate(f = ROCx, lower = 0, upper = 1, res0 = res0, res1 = res1, smooth = TRUE)$value } return(list("m" = m, "n" = n, "fROC" = rocLogCon, "fROC.smooth" = rocLogConSmooth, "auc" = auc, "aucSmooth" = aucSmooth, "res0" = res0, "res1" = res1)) } logcondens/R/Local_LL.r0000644000176200001440000000022514756145525014427 0ustar liggesusersLocal_LL <- function(x, w, phi) { n <- length(x) dx <- diff(x) L <- sum(w * phi) - sum(dx * J00(phi[1:(n - 1)], phi[2:n])) return(L) } logcondens/R/LocalVariance.r0000644000176200001440000000065214756145525015515 0ustar liggesusersLocalVariance <- function(x, w = NULL, phi) { n <- length(x) if (is.null(w)) { p <- rep(1 / n, n) } else { p <- w / sum(w) } m <- sum(p * x) dx <- diff(x) s2a <- sum(dx * (x[1:(n - 1)] - m)^2 * J10(phi[1:(n - 1)], phi[2:n])) s2b <- sum(dx * (x[2:n] - m)^2 * J10(phi[2:n], phi[1:(n - 1)])) s2c <- sum(dx^3 * J11(phi[1:(n - 1)], phi[2:n])) s2 <- s2a + s2b - s2c return(s2) } logcondens/R/intF.r0000644000176200001440000000230514756145524013706 0ustar liggesusersintF <- function(s, res) { x <- res$x phi <- res$phi Fhat <- res$Fhat if (min(s) < min(x) | max(s) > max(x)) { cat("All elements of s must be in [x_1, x_n]!") } else { n <- length(x) dx <- c(NA, diff(x)) dphi <- c(NA, diff(phi)) slope <- dphi / dx f <- exp(phi) intF.xi <- c(0, rep(NA, n - 1)) for (i in 2:n) { if (abs(slope[i]) <= 1e-6) { inte <- f[i - 1] * dx[i] / 2 } if (abs(slope[i]) > 1e-6) { inte <- slope[i]^(-1) * (J00(phi[i - 1], phi[i], 1) - f[i - 1]) } intF.xi[i] <- dx[i] * (Fhat[i - 1] + inte) } intF.xi <- cumsum(intF.xi) intF.s <- rep(NA, length(s)) for (k in 1:length(s)) { x0 <- s[k] j <- max((1:n)[x <= x0]) j <- min(j, n - 1) xj <- x[j] if (abs(slope[j + 1]) <= 1e-6) { tmp <- f[j] * (x0 - xj)^2 / 2 } if (abs(slope[j + 1]) > 1e-6) { tmp <- dx[j + 1] * (slope[j + 1]^(-1) * J00( phi[j], phi[j + 1], (x0 - xj) / dx[j + 1] ) - (x0 - xj) / dphi[j + 1] * f[j]) } intF.s[k] <- intF.xi[j] + (x0 - xj) * Fhat[j] + tmp } return(intF.s) } } logcondens/R/Local_LL_all.r0000644000176200001440000000164214756145525015263 0ustar liggesusersLocal_LL_all <- function(x, w, phi) { n <- length(x) dx <- diff(x) ll <- sum(w * phi) - sum(dx * J00(phi[1:(n - 1)], phi[2:n])) grad <- matrix(w, ncol = 1) grad[1:(n - 1)] <- grad[1:(n - 1)] - (dx * J10(phi[1:(n - 1)], phi[2:n])) grad[2:n] <- grad[2:n] - (dx * J10(phi[2:n], phi[1:(n - 1)])) tmp <- c(dx * J20(phi[1:(n - 1)], phi[2:n]), 0) + c(0, dx * J20(phi[2:n], phi[1:(n - 1)])) tmp <- tmp + mean(tmp) * 1e-12 mhess2 <- matrix(0, nrow = n, ncol = n) mhess3 <- mhess2 mhess1 <- tmp tmp <- c(0, dx * J11(phi[1:(n - 1)], phi[2:n])) tmp.up <- diag(tmp[2:n], nrow = n - 1, ncol = n - 1) mhess2[1:(n - 1), 2:n] <- tmp.up mhess3[2:n, 1:(n - 1)] <- diag(tmp[2:n], nrow = n - 1, ncol = n - 1) mhess <- diag(mhess1) + mhess2 + mhess3 phi_new <- phi + solve(mhess) %*% grad dirderiv <- t(grad) %*% (phi_new - phi) return(list(ll = ll, phi_new = phi_new, dirderiv = dirderiv)) } logcondens/R/rlogcon.r0000644000176200001440000000164714756145525014462 0ustar liggesusersrlogcon <- function(n, x0) { ## =================================================== ## Simulate from $\hat f_n$ and $\hat f_n^*$ as described ## in Duembgen and Rufibach (2009, Section 3) ## =================================================== ## Set parameters res <- logConDens(x0, xgrid = NULL, smoothed = FALSE, print = FALSE, gam = NULL, xs = NULL) phi <- res$phi f.smoothed <- evaluateLogConDens(res$x, res, which = 4, gam = NULL)[, "smooth.density"] ## compute gam VarFn <- LocalVariance(x = res$x, w = res$w, phi = phi) gam <- sqrt(res$sig^2 - VarFn) ## Simulate from $\hat f_n$ and $\hat f_n^*$ X <- rep(NA, length = n) U <- runif(n) Z <- rnorm(n) X <- quantilesLogConDens(U, res)[, "quantile"] X_star <- X + gam * Z res <- list("X" = X, "X_star" = X_star, "U" = U, "Z" = Z, "f" = exp(phi), "f.smoothed" = f.smoothed, "x" = res$x, "w" = res$w) return(res) } logcondens/R/robust.r0000644000176200001440000000114414756145525014325 0ustar liggesusersrobust <- function(x, w, eta, etanew, grad) { dx <- c(0, diff(x)) loglik <- Lhat_eta(x, w, eta)$ll liknew <- Lhat_eta(x, w, etanew)$ll # dirder <- as.numeric(t(grad) %*% (etanew - eta)) dirder <- crossprod(grad, etanew - eta) iter <- 0 while ((liknew < loglik) && (iter < 20)) { iter <- iter + 1 etanew <- (eta + etanew) / 2 liknew <- Lhat_eta(x, w, etanew)$ll dirder <- dirder / 2 } t0 <- as.numeric((2 - 2 * (liknew - loglik) / dirder)^(-1)) if (t0 < 1) { eta <- (1 - t0) * eta + t0 * etanew } else { eta <- etanew } return(eta) } logcondens/R/quantilesLogConDens.r0000644000176200001440000000143614756145525016734 0ustar liggesusersquantilesLogConDens <- function(ps, res) { if (any(ps < 0 | ps > 1)) { stop("All entries of the argument ps given to quantilesLogConDens() must be in [0, 1]!\n") } x <- res$x phi <- res$phi Fhat <- res$Fhat n <- length(x) res <- matrix(NA, ncol = 2, nrow = length(ps)) for (i in 1:length(ps)) { p0 <- ps[i] if (p0 == 0) { q <- -Inf } if (p0 == 1) { q <- x[n] } if ((p0 > 0) && (p0 < 1)) { n <- length(x) xj <- max(x[Fhat <= p0]) j <- length(x[x <= xj]) q <- xj + (x[j + 1] - x[j]) * qloglin((p0 - Fhat[j]) / (Fhat[j + 1] - Fhat[j]), (x[j + 1] - x[j]) * (phi[j + 1] - phi[j])) } res[i, ] <- c(p0, as.numeric(q)) } colnames(res) <- c("ps", "quantile") return(res) } logcondens/R/logConDens.r0000644000176200001440000000146314756145525015046 0ustar liggesuserslogConDens <- function(x, xgrid = NULL, smoothed = TRUE, print = FALSE, gam = NULL, xs = NULL) { res1 <- activeSetLogCon(x, xgrid = xgrid, print = print) if (identical(smoothed, FALSE)) { res <- c(res1) } if (identical(smoothed, TRUE)) { if (identical(xs, NULL)) { r <- diff(range(x)) xs <- seq(min(x) - 0.1 * r, max(x) + 0.1 * r, length = 500) } smo <- evaluateLogConDens(xs, res1, which = 4:5, gam = gam, print = print) f.smoothed <- smo[, "smooth.density"] F.smoothed <- smo[, "smooth.CDF"] mode <- xs[f.smoothed == max(f.smoothed)] res2 <- list("f.smoothed" = f.smoothed, "F.smoothed" = F.smoothed, "gam" = gam, "xs" = xs, "mode" = mode) res <- c(res1, res2) } res$smoothed <- smoothed class(res) <- "dlc" return(res) } logcondens/R/LocalExtend.r0000644000176200001440000000064314756145524015213 0ustar liggesusersLocalExtend <- function(x, IsKnot, x2, phi2) { n <- length(x) K <- (1:n) * IsKnot K <- K[K > 0] phi <- 1:n * 0 phi[K] <- phi2 for (k in 1:(length(K) - 1)) { if (K[k + 1] > (K[k] + 1)) { ind <- (K[k] + 1):(K[k + 1] - 1) lambda <- (x[ind] - x2[k]) / (x2[k + 1] - x2[k]) phi[ind] <- (1 - lambda) * phi2[k] + lambda * phi2[k + 1] } } return(matrix(phi, ncol = 1)) } logcondens/R/intECDF.r0000644000176200001440000000077214756145524014230 0ustar liggesusersintECDF <- function(s, x) { if (min(s) < min(x) | max(s) > max(x)) { cat("All elements of s must be in [x_1, x_n]!") } else { n <- length(x) x <- sort(x) dx <- c(0, diff(x)) intED.xi <- cumsum(dx * ((0:(n - 1)) / n)) intED.s <- rep(NA, length(s)) for (k in 1:length(s)) { j <- max((1:n)[x <= s[k]]) j <- min(j, n - 1) xj <- x[j] intED.s[k] <- intED.xi[j] + (s[k] - xj) * j / n } ## end for return(intED.s) } ## end if } logcondens/R/J20.r0000644000176200001440000000136614756145524013347 0ustar liggesusersJ20 <- function(x, y) { m <- length(x) z <- exp(x) d <- y - x II <- (1:m)[abs(d) > 0.02] z[II] <- 2 * z[II] * (exp(d[II]) - 1 - d[II] - d[II]^2 / 2) / (d[II]^3) II <- (1:m)[abs(d) <= 0.02] z[II] <- z[II] * (1 / 3 + d[II] * (1 / 12 + d[II] * (1 / 60 + d[II] * (1 / 360 + d[II] / 2520)))) return(z) } # version prior to e-mails of LD of August 2010 # J20 <- function(x, y){ # m <- length(x) # z <- exp(x) # d <- y - x # II <- (1:m)[abs(d) > 10^(-6)] # z[II] <- 2 * z[II] * (exp(d[II]) - 1 - d[II] - d[II] ^ 2 / 2)/(d[II] ^ 3) # II <- (1:m)[abs(d) <= 10 ^ (-6)] # z[II] <- z[II] * (1 / 3 + d[II] / 12 + d[II] ^ 2 / 60 + d[II] ^ 3 / 360) # return(z) # } logcondens/R/icmaLogCon.r0000644000176200001440000000233714756145524015026 0ustar liggesusersicmaLogCon <- function(x, xgrid = NULL, eps = 10^-8, T1 = 2000, robustif = TRUE, print = FALSE) { xn <- sort(x) tmp <- preProcess(x) x <- tmp$x w <- tmp$w sig <- tmp$sig n <- length(x) if (n == 2) { stop("For n = 2 use function logConDens()") } dx <- c(0, diff(x)) iter1 <- 0 dirder <- 2 * eps phi <- LocalNormalize(x, 1:n * 0) phi <- LocalMLE(x, w, c(1, rep(0, n - 2), 1), phi, eps)$phi eta <- phieta(x, phi) loglik <- Lhat_eta(x, w, eta)$ll etanew <- 1:n * 0 while ((abs(dirder) > eps) && (iter1 < T1)) { iter1 <- iter1 + 1 derivs <- quadDeriv(dx, w, eta) grad <- derivs[, 1] hess <- -derivs[, 2] y <- eta + grad / hess etanew[1] <- y[1] etanew[2:n] <- -isoMean(-y[2:n], hess[2:n]) if (robustif == TRUE) { etanew <- robust(x, w, eta, etanew, grad) } dirder <- as.numeric(t(grad) %*% (etanew - eta)) eta <- etanew loglik <- Lhat_eta(x, w, eta)$ll out <- data.frame(Iteration = iter1, LogLikelihood = loglik, dirder = dirder) if (print == TRUE) { print(out) } } return(list(x = x, w = w, f = as.vector(exp(etaphi(x, eta))), xn = xn, Loglik = loglik, Iterations = iter1, sig = sig)) } logcondens/R/LocalCoarsen.r0000644000176200001440000000076714756145524015365 0ustar liggesusersLocalCoarsen <- function(x, w, IsKnot) { n <- length(x) K <- (1:n) * IsKnot K <- K[K > 0] x2 <- x[K] w2 <- w[K] for (k in 1:(length(K) - 1)) { if (K[k + 1] > (K[k] + 1)) { ind <- (K[k] + 1):(K[k + 1] - 1) lambda <- (x[ind] - x2[k]) / (x2[k + 1] - x2[k]) w2[k] <- w2[k] + sum(w[ind] * (1 - lambda)) w2[k + 1] <- w2[k + 1] + sum(w[ind] * lambda) } } w2 <- w2 / sum(w2) return(list(x2 = matrix(x2, ncol = 1), w2 = matrix(w2, ncol = 1))) } logcondens/R/LocalConvexity.r0000644000176200001440000000032414756145524015750 0ustar liggesusersLocalConvexity <- function(x, phi) { n <- length(x) deriv <- diff(phi) / diff(x) conv <- 1:n * 0 if (n > 2) { conv[2:(n - 1)] <- diff(deriv[1:(n - 1)]) } return(matrix(conv, ncol = 1)) } logcondens/R/evaluateLogConDens.r0000644000176200001440000000442514756145524016535 0ustar liggesusersevaluateLogConDens <- function(xs, res, which = 1:5, gam = NULL, print = FALSE) { x <- res$x w <- res$w phi <- res$phi Fhat <- res$Fhat IsKnot <- res$IsKnot n <- length(x) values.mat <- matrix(NA, ncol = 6, nrow = length(xs)) ## quantities for smooth estimates if (max(which) > 3) { if (is.null(gam) == TRUE) { VarFn <- LocalVariance(x = x, w = w, phi = phi) gam <- sqrt(res$sig^2 - VarFn) } js <- 2:n xj <- x[js - 1] xj1 <- x[js] f <- exp(phi) a <- c(NA, diff(phi) / diff(x))[js] } ## now compute values of functions for each x0 in xs for (i in 1:length(xs)) { values <- rep(NA, 5) x0 <- xs[i] if (x0 < x[1]) { values[1:3] <- c(-Inf, 0, 0) } if (x0 == x[1]) { values[1:3] <- c(phi[1], exp(phi[1]), 0) } if (x0 > x[n]) { values[1:3] <- c(-Inf, 0, 1) } if (x0 > x[1] && x0 <= x[n]) { x.knot <- res$knots phi.knot <- phi[IsKnot > 0] k <- length(x.knot[x.knot < x0]) if ((1 %in% which) | (2 %in% which)) { phi.x0 <- (1 - (x0 - x.knot[k]) / (x.knot[k + 1] - x.knot[k])) * phi.knot[k] + (x0 - x.knot[k]) / (x.knot[k + 1] - x.knot[k]) * phi.knot[k + 1] f.x0 <- exp(phi.x0) values[1:2] <- c(phi.x0, f.x0) } if (3 %in% which) { j <- length(x[x < x0]) Fhat.x0 <- Fhat[j] + (x[j + 1] - x[j]) * J00(phi[j], phi[j + 1], (x0 - x[j]) / (x[j + 1] - x[j])) values[3] <- Fhat.x0 } } ## compute quantities that appear in smooth PDF and CDF only if (max(which) > 3) { qs <- Q00(x = x0, a = a, u = xj, v = xj1, gamma = gam, QFhat = (5 %in% which)) } ## smooth PDF if (4 %in% which) { values[4] <- sum(f[js - 1] * qs$q) } ## smooth CDF if (5 %in% which) { values[5] <- sum(f[js - 1] * qs$Q) } values.mat[i, ] <- c(x0, values) i10 <- i / length(xs) * 10 if ((round(i10) == i10) & (print == TRUE)) { print(paste(i10 * 10, "% of computation of smooth estimates done", sep = "")) } } values.mat[, c(FALSE, (1:5 %in% which) == FALSE)] <- NA colnames(values.mat) <- c("xs", "log-density", "density", "CDF", "smooth.density", "smooth.CDF") return(values.mat) } logcondens/R/ftilde.r0000644000176200001440000000063514756145524014261 0ustar liggesusersftilde <- function(loc, yy, fhat, dy, h, type) { # f0tilde if (identical(type, 0)) { res <- sum(dnorm(yy, loc, h) * fhat) * dy } # f1tilde if (identical(type, 1)) { res <- sum(-(loc - yy) * dnorm(yy, loc, h) * fhat) * dy / (h^2) } # f2tilde if (identical(type, 2)) { res <- sum((((loc - yy) / h)^2 - 1) * dnorm(yy, loc, h) * fhat) * dy / (h^2) } return(res) } logcondens/R/maxDiffCDF.r0000644000176200001440000000700514756145525014704 0ustar liggesusersmaxDiffCDF <- function(res1, res2, which = c("MLE", "smooth"), n.grid = 500) { # calculate maximal difference between # F_x and F_y via zeros of phi_x - phi_y x <- res1$knots y <- res2$knots z <- c(x, y) d <- diff(range(z)) test.stat <- rep(NA, 2) names(test.stat) <- c("log-concave", "smooth log-concave") loc <- rep(NA, 2) names(loc) <- names(test.stat) if ("MLE" %in% which) { ## for log-concave density CDF l <- max(min(x), min(y)) r <- min(max(x), max(y)) z <- sort(unique(c(z[(z >= l) & (z <= r)]))) N <- length(z) if (r <= l) { test.stat <- 1 loc <- r } else { mat1 <- matrix(NA, nrow = N, ncol = 3) mat2 <- mat1 # compute values of functions at z for (i in 1:N) { mat1[i, ] <- evaluateLogConDens(z[i], res1, which = 1)[, "log-density"] mat2[i, ] <- evaluateLogConDens(z[i], res2, which = 1)[, "log-density"] } # find places of crossings x0 <- matrix(c(z[1], abs(evaluateLogConDens(z[1], res1, which = 3)[, "CDF"] - evaluateLogConDens(z[1], res2, which = 3)[, "CDF"])), ncol = 2) # difference at z[1] i <- 1:(length(z) - 1) i <- i[sign(mat1[i, 1] - mat2[i, 1]) != sign(mat1[i + 1, 1] - mat2[i + 1, 1])] if (length(i) > 0) { # calculate exact places of crossings by setting # phi_x(x) = phi_y(x) and solving for x zk <- z[i] zk1 <- z[i + 1] phi1k <- mat1[i, 1] phi1k1 <- mat1[i + 1, 1] phi2k <- mat2[i, 1] phi2k1 <- mat2[i + 1, 1] s1 <- (phi1k1 - phi1k) / (zk1 - zk) s2 <- (phi2k1 - phi2k) / (zk1 - zk) tmp <- sort(unique(c(zk[s1 == s2], (zk + (phi2k - phi1k) / (s1 - s2))[s1 != s2]))) for (j in 1:length(tmp)) { x0 <- rbind(x0, c(tmp[j], abs(evaluateLogConDens(tmp[j], res1, which = 3)[, "CDF"] - evaluateLogConDens(tmp[j], res2, which = 3)[, "CDF"]))) } } # add difference of distribution functions at z[N] x0 <- rbind(x0, c(z[N], abs(evaluateLogConDens(z[N], res1, which = 3)[, "CDF"] - evaluateLogConDens(z[N], res2, which = 3)[, "CDF"]))) test.stat[1] <- max(x0[, 2]) loc[1] <- x0[x0[, 2] == test.stat[1], 1] } } if ("smooth" %in% which) { ## for smooth log-concave density CDF xs <- seq(min(x, y) - 0.1 * d, max(x, y) + 0.1 * d, length.out = n.grid) F1smooth <- rep(NA, length(xs)) F2smooth <- F1smooth for (i in 1:length(xs)) { F1smooth[i] <- evaluateLogConDens(xs[i], res1, which = 4)[, "smooth.density"] F2smooth[i] <- evaluateLogConDens(xs[i], res2, which = 4)[, "smooth.density"] } diff <- F1smooth - F2smooth ind1 <- abs(diff(sign(diff))) left <- xs[c(ind1, 0) == 2] right <- xs[c(0, ind1) == 2] locs <- rep(NA, length(left)) test.stats <- locs zero.fun <- function(q, res1, res2) { return(evaluateLogConDens(q, res1, which = 4)[, "smooth.density"] - evaluateLogConDens(q, res2, which = 4)[, "smooth.density"]) } for (i in 1:length(locs)) { locs[i] <- uniroot(f = zero.fun, interval = c(left[i], right[i]), res1, res2)$root test.stats[i] <- abs(evaluateLogConDens(locs[i], res1, which = 5)[, "smooth.CDF"] - evaluateLogConDens(locs[i], res2, which = 5)[, "smooth.CDF"]) } loc[2] <- locs[test.stats == max(test.stats)] test.stat[2] <- test.stats[test.stats == max(test.stats)] } return(list("test.stat" = as.numeric(test.stat), "location" = as.numeric(loc))) } logcondens/R/quadDeriv.r0000644000176200001440000000144214756145525014734 0ustar liggesusersquadDeriv <- function(dx, w, eta) { n <- length(w) k <- 2:n a <- c(0, (dx * eta)[-1]) b <- exp(cumsum(a)) dL2n <- 1:n * NA H0 <- exp(eta[1]) dL1 <- sum(w) - H0 * sum(1 / eta[2:n] * (b[2:n] - b[(2:n) - 1])) temp <- (dx * rev(cumsum(rev(c(0, 1 / eta[3:n] * (b[3:n] - b[2:(n - 1)]), 0)))))[k] dL2n[k] <- rev(cumsum(rev(w[k]))) * dx[k] - H0 * (-eta[k]^(-2) * (b[k] - b[k - 1]) + 1 / eta[k] * (dx[k] * b[k]) + temp) G <- c(dL1, dL2n[2:n]) d22n <- 1:n * NA d21 <- -sum(w) + dL1 temp <- (dx^2 * rev(cumsum(rev(c(0, 1 / eta[3:n] * (b[3:n] - b[2:(n - 1)]), 0)))))[k] d22n[k] <- -H0 * (2 * eta[k]^(-3) * (b[k] - b[k - 1]) - 2 * eta[k]^(-2) * (dx[k] * b[k]) + dx[k]^2 * b[k] / eta[k] + temp) H <- c(d21, d22n[2:n]) H[H > 0] <- -H[H > 0] return(-cbind(G, H)) } logcondens/R/c2hat.R0000644000176200001440000000615014756145523013750 0ustar liggesusersc2hat <- function(res, xx0, type = c("DR", "ks", "nrd")[2], htype = c("hscv", "hlscv", "hpi", "hns")[4]) { ## re-translate to Hanna's arguments: data <- res$xn mle <- res ## compute the constant c2_DR <- numeric(0) c2_ks_hscv <- numeric(0) c2_ks_hlscv <- numeric(0) c2_ks_hpi <- numeric(0) c2_ks_hns <- numeric(0) c2_nrd <- numeric(0) spread <- diff(range(data)) grid <- seq(min(data) - 0.5 * spread, max(data) + 0.5 * spread, length.out = 2 * 1000) dy <- min(diff(grid)) fmle <- evaluateLogConDens(grid, mle, which = 2) fhat <- fmle[, 3] if ("DR" %in% type) { h_DR <- sqrt(mle$sig^2 - LocalVariance(x = mle$x, w = mle$w, phi = mle$phi)) f0 <- function(loc) { return(ftilde(loc, grid, fhat, dy, h = h_DR, type = 0)) } f0_DR <- unlist(lapply(xx0, f0)) f1 <- function(loc) { return(ftilde(loc, grid, fhat, dy, h = h_DR, type = 1)) } f1_DR <- unlist(lapply(xx0, f1)) f2 <- function(loc) { return(ftilde(loc, grid, fhat, dy, h = h_DR, type = 2)) } f2_DR <- unlist(lapply(xx0, f2)) rm(f0, f1, f2) c2_DR <- f0_DR * abs(f0_DR * f2_DR - (f1_DR)^2) c2_DR <- (c2_DR / 24)^0.2 } if ("ks" %in% type) { if ("hscv" %in% htype) { h <- hscv(data) f0_ks <- kdde(x = data, eval.points = xx0, h = h, deriv.order = 0)$estimate f1_ks <- kdde(x = data, eval.points = xx0, h = h, deriv.order = 1)$estimate f2_ks <- kdde(x = data, eval.points = xx0, h = h, deriv.order = 2)$estimate c2_ks <- f0_ks * abs(f0_ks * f2_ks - f1_ks^2) c2_ks_hscv <- (c2_ks / 24)^0.2 } if ("hlscv" %in% htype) { h <- hlscv(data) f0_ks <- kdde(x = data, eval.points = xx0, h = h, deriv.order = 0)$estimate f1_ks <- kdde(x = data, eval.points = xx0, h = h, deriv.order = 1)$estimate f2_ks <- kdde(x = data, eval.points = xx0, h = h, deriv.order = 2)$estimate c2_ks <- f0_ks * abs(f0_ks * f2_ks - f1_ks^2) c2_ks_hlscv <- (c2_ks / 24)^0.2 } if ("hpi" %in% htype) { h <- hpi(data) f0_ks <- kdde(x = data, eval.points = xx0, h = h, deriv.order = 0)$estimate f1_ks <- kdde(x = data, eval.points = xx0, h = h, deriv.order = 1)$estimate f2_ks <- kdde(x = data, eval.points = xx0, h = h, deriv.order = 2)$estimate c2_ks <- f0_ks * abs(f0_ks * f2_ks - f1_ks^2) c2_ks_hpi <- (c2_ks / 24)^0.2 } if ("hns" %in% htype) { h <- hns(data) f0_ks <- kdde(x = data, eval.points = xx0, h = h, deriv.order = 0)$estimate f1_ks <- kdde(x = data, eval.points = xx0, h = h, deriv.order = 1)$estimate f2_ks <- kdde(x = data, eval.points = xx0, h = h, deriv.order = 2)$estimate c2_ks <- f0_ks * abs(f0_ks * f2_ks - f1_ks^2) c2_ks_hns <- (c2_ks / 24)^0.2 } } if ("nrd" %in% type) { fmle <- evaluateLogConDens(xx0, mle, which = 4) ftilde <- fmle[, 5] c2_nrd <- ftilde^3 / mle$sig^2 c2_nrd <- (c2_nrd / 24)^0.2 } res <- list(DR = c2_DR, ks_hscv = c2_ks_hscv, ks_hlscv = c2_ks_hlscv, ks_hpi = c2_ks_hpi, ks_hns = c2_ks_hns, nrd = c2_nrd) return(res) } logcondens/R/phieta.r0000644000176200001440000000015314756145525014260 0ustar liggesusersphieta <- function(x, phi) { n <- length(x) eta <- c(phi[1], diff(phi) / diff(x)) return(eta) } logcondens/R/isoMean.r0000644000176200001440000000114314756145524014400 0ustar liggesusersisoMean <- function(y, w) { n <- length(y) k <- 1:n * 0 gew <- 1:n * 0 ghat <- 1:n * 0 c <- 1 k[c] <- 1 gew[c] <- w[1] ghat[c] <- y[1] for (j in 2:n) { c <- c + 1 k[c] <- j gew[c] <- w[j] ghat[c] <- y[j] while (c >= 2 && ghat[max(1, c - 1)] >= ghat[c]) { neu <- gew[c] + gew[c - 1] ghat[c - 1] <- ghat[c - 1] + (gew[c] / neu) * (ghat[c] - ghat[c - 1]) gew[c - 1] <- neu c <- c - 1 } } while (n >= 1) { for (j in k[c]:n) { ghat[j] <- ghat[c] } n <- k[c] - 1 c <- c - 1 } return(ghat) } logcondens/R/LocalF.r0000644000176200001440000000026414756145524014150 0ustar liggesusersLocalF <- function(x, phi) { n <- length(x) Fhat <- 1:n * 0 dx <- diff(x) Fhat[2:n] <- cumsum(dx * J00(phi[1:(n - 1)], phi[2:n])) return(matrix(Fhat, ncol = 1)) } logcondens/R/plot.dlc.r0000644000176200001440000000705514756145525014535 0ustar liggesusersplot.dlc <- function(x, which = c("density", "log-density", "CDF"), add.title = TRUE, legend.pos = "topright", ...) { object <- x which <- match.arg(which) x <- object$x n <- length(x) xn <- object$xn knot <- x[object$IsKnot == 1] if (legend.pos[1] == "none") { legend.pos <- c(Inf, Inf) } # compute function values d <- diff(range(x)) xs <- seq(x[1], x[n], length.out = 500) f.mat <- matrix(NA, nrow = length(xs), ncol = 5) for (i in 1:length(xs)) { f.mat[i, 1:3] <- evaluateLogConDens(xs[i], object, which = 1:3)[, c("log-density", "density", "CDF")] } xli <- range(xs) + 0.1 * c(-1, 1) * d yli <- range(c(0, f.mat[, 2])) yli.log <- range(f.mat[, 1]) cho <- 1 d <- diff(range(x)) if (object$smoothed == TRUE) { xli <- range(c(xli, object$xs)) yli <- range(c(yli, object$f.smoothed)) yli.log <- c(min(c(f.mat[, 1], log(object$f.smoothed))), log(max(yli))) cho <- 1:2 } ## organize title if (add.title == FALSE) { main.tit <- "" o <- 1 } if (add.title == TRUE) { main.tit <- "Log-concave density estimation from i.i.d. data" o <- 4 } par(las = 1, mar = c(4.5, 4, o, 1)) if (which == "density") { plot(0, 0, type = "n", xlim = xli, ylim = yli, xlab = "x", ylab = "density", main = main.tit) rug(x) lines(xs, f.mat[, 2], col = 2, lwd = 2) if (object$smoothed == TRUE) { lines(object$xs, object$f.smoothed, col = 3, lwd = 2) } if (add.title == TRUE) { mtext("Density estimate. Dashed vertical lines indicate knots of the log-density.", 3, 0.5, cex = .75) } legend(legend.pos, c(expression("log-concave " * hat(f)[n]), expression("log-concave smoothed " * hat(f)[n] * "*"))[cho], lty = 1, lwd = 2, col = c(2, 3)[cho], bty = "n" ) segments(c(min(xli) - 10 * d, x[n]), c(0, 0), c(x[1], max(xli) + 10 * d), c(0, 0), col = 2, lwd = 2) segments(knot, 0, knot, 0.2 * diff(yli), lty = 2) } if (which == "log-density") { plot(0, 0, type = "n", xlim = xli, ylim = yli.log, xlab = "x", ylab = "log-density", main = main.tit) rug(x) lines(xs, f.mat[, 1], col = 2, lwd = 2) if (object$smoothed == TRUE) { lines(object$xs, log(object$f.smoothed), col = 3, lwd = 2) } if (add.title == TRUE) { mtext("Estimate of log-density. Dashed vertical lines indicate knots of the log-density.", 3, 0.5, cex = .75) } legend(legend.pos, c(expression("log-concave " * hat(phi)[n]), expression("log-concave smoothed " * hat(phi)[n] * "*"))[cho], lty = 1, lwd = 2, col = c(2, 3)[cho], bty = "n" ) segments(knot, min(yli.log), knot, min(yli.log) + 0.2 * diff(yli.log), lty = 2) } if (which == "CDF") { n0 <- length(xn) ED <- 0:(n0 + 1) / n0 plot(xs, f.mat[, 3], type = "n", ylab = "Distribution functions", main = main.tit, xlim = xli) rug(x) lines(xs, f.mat[, 3], col = 2, lwd = 2) lines(c(min(xn) - 10, xn, max(xn) + 10), ED, type = "s", lwd = 1.5) abline(v = knot, lty = 3) if (object$smoothed == TRUE) { lines(object$xs, object$F.smoothed, col = 3, lwd = 2) } if (add.title == TRUE) { mtext("Estimate of CDF based on density.", 3, 0.5, cex = .75) } legend(legend.pos, c("ECDF", expression("log-concave " * hat(F)[n]), expression("log-concave smoothed " * hat(F)[n] * "*"))[c(1, cho + 1)], lty = 1, lwd = 2, col = c(1, 2, 3)[c(1, cho + 1)], bty = "n" ) segments(c(min(xli) - 10 * d, x[n]), c(0, 1), c(x[1], max(xli) + 10 * d), c(0, 1), col = 2, lwd = 2) } } logcondens/R/logConCI.R0000644000176200001440000000616714756145525014416 0ustar liggesuserslogConCI <- function(res, xx0, conf.level = c(0.8, 0.9, 0.95, 0.99)[3], type = c("DR", "ks", "nrd", "ECDFboot", "NPMLboot")[2], htype = c("hscv", "hlscv", "hpi", "hns")[4], BB = 500) { ## re-translate to Hanna's arguments: data <- res$xn mle <- res alpha <- 1 - conf.level ## compute the (nonbootstrap) CIs fmle <- evaluateLogConDens(xx0, mle, which = 2) fhat <- fmle[, 3] n <- length(data) c2fit <- c2hat(res = mle, xx0 = xx0, type = type, htype = htype) if (conf.level == 0.99) { zup <- 3.6881 zlo <- -3.0905 } if (conf.level == 0.95) { zup <- 2.7536 zlo <- -2.4157 } if (conf.level == 0.9) { zup <- 2.2653 zlo <- -2.0574 } if (conf.level == 0.80) { zup <- 1.7421 zlo <- -1.6440 } up_DR <- fhat - zlo * (n^(-0.4)) * c2fit$DR up_ks_hscv <- fhat - zlo * (n^(-0.4)) * c2fit$ks_hscv up_ks_hlscv <- fhat - zlo * (n^(-0.4)) * c2fit$ks_hlscv up_ks_hpi <- fhat - zlo * (n^(-0.4)) * c2fit$ks_hpi up_ks_hns <- fhat - zlo * (n^(-0.4)) * c2fit$ks_hns up_nrd <- fhat - zlo * (n^(-0.4)) * c2fit$nrd up_npml <- numeric() up_ecdf <- numeric() lo_DR <- pmax(0, fhat - zup * (n^(-0.4)) * c2fit$DR) lo_ks_hscv <- pmax(0, fhat - zup * (n^(-0.4)) * c2fit$ks_hscv) lo_ks_hlscv <- pmax(0, fhat - zup * (n^(-0.4)) * c2fit$ks_hlscv) lo_ks_hpi <- pmax(0, fhat - zup * (n^(-0.4)) * c2fit$ks_hpi) lo_ks_hns <- pmax(0, fhat - zup * (n^(-0.4)) * c2fit$ks_hns) lo_nrd <- pmax(0, fhat - zup * (n^(-0.4)) * c2fit$nrd) lo_npml <- numeric() lo_ecdf <- numeric() ## compute the (nonbootstrap) CIs boot <- ("ECDFboot" %in% type) + ("NPMLboot" %in% type) > 0 if (boot) { print("You have chosen to calculate bootstrap confidence intervals. This may take a few moments.") if ("NPMLboot" %in% type) { fhat_star <- matrix(rep(0, BB * length(xx0)), nrow = BB) for (j in 1:BB) { data_star <- rLCD(n, mle) mle_star <- logConDens(data_star) fmle_star <- evaluateLogConDens(xx0, mle_star, which = 2) fhat_star[j, ] <- fmle_star[, 3] } lo_npml <- apply(fhat_star, 2, quantile, probs = alpha / 2) up_npml <- apply(fhat_star, 2, quantile, probs = 1 - alpha / 2) } # end if NPMLboot if ("ECDFboot" %in% type) { fhat_star <- matrix(rep(0, BB * length(xx0)), nrow = BB) for (j in 1:BB) { data_star <- sample(data, n, replace = TRUE) mle_star <- logConDens(data_star) fmle_star <- evaluateLogConDens(xx0, mle_star, which = 2) fhat_star[j, ] <- fmle_star[, 3] } lo_ecdf <- apply(fhat_star, 2, quantile, probs = alpha / 2) up_ecdf <- apply(fhat_star, 2, quantile, probs = 1 - alpha / 2) } # end if ECDFboot } # end if boot res <- list(fhat = fhat, up_DR = up_DR, lo_DR = lo_DR, up_ks_hscv = up_ks_hscv, lo_ks_hscv = lo_ks_hscv, up_ks_hlscv = up_ks_hlscv, lo_ks_hlscv = lo_ks_hlscv, up_ks_hpi = up_ks_hpi, lo_ks_hpi = lo_ks_hpi, up_ks_hns = up_ks_hns, lo_ks_hns = lo_ks_hns, up_nrd = up_nrd, lo_nrd = lo_nrd, up_npml = up_npml, lo_npml = lo_npml, up_ecdf = up_ecdf, lo_ecdf = lo_ecdf) return(res) } logcondens/R/Q00.r0000644000176200001440000000435014756145525013351 0ustar liggesusersQ00 <- function(x, a, u, v, gamma, QFhat = FALSE) { ## x, gamma in R ## a, u, v in R^m q <- exp(a * (x - u) + a^2 * gamma^2 / 2) * (pnorm(v - x - a * gamma^2, mean = 0, sd = gamma) - pnorm(u - x - a * gamma^2, mean = 0, sd = gamma)) # Robustification of q: tmp.m <- (0.5 * (u + v) - x) / gamma - a * gamma tmp.d <- 0.5 * (v - u) / gamma tmp.q1 <- exp(a * (x - u) + a^2 * gamma^2 / 2 - tmp.m^2 / 2) * (pnorm(tmp.d) - pnorm(-tmp.d)) tmp.q2 <- exp(a * (x - u) + a^2 * gamma^2 / 2 - tmp.m^2 / 2 + abs(tmp.m * tmp.d) + log(1 + exp(-2 * abs(tmp.m * tmp.d))) - log(2)) * (pnorm(tmp.d) - pnorm(-tmp.d)) q <- pmin(pmax(q, tmp.q1), tmp.q2) Q <- NA if (QFhat == TRUE) { m <- length(a) Q <- rep(NA, m) II <- (1:m)[abs(a) > 1e-6] Q[II] <- q[II] / a[II] + (exp(a[II] * (v[II] - u[II])) * pnorm(x - v[II], mean = 0, sd = gamma) - pnorm(x - u[II], mean = 0, sd = gamma)) / a[II] II <- (1:m)[abs(a) <= 1e-6] Q[II] <- (x - u[II]) * pnorm(x - u[II], mean = 0, sd = gamma) - (x - v[II]) * pnorm(x - v[II], mean = 0, sd = gamma ) + gamma^2 * (dnorm(x - u[II], mean = 0, sd = gamma) - dnorm(x - v[II], mean = 0, sd = gamma)) } res <- list("q" = q, "Q" = Q) return(res) } ## old version, without bounds for pathological cases # Q00 <- function(x, a, u, v, gamma, QFhat = FALSE){ # # ## x, gamma in R # ## a, u, v in R^m # q <- exp(a * (x - u) + a ^ 2 * gamma ^ 2 / 2) * (pnorm(v - x - a * gamma ^ 2, mean = 0, sd = gamma) - # pnorm(u - x - a * gamma ^ 2, mean = 0, sd = gamma)) # # Q <- NA # if (QFhat == TRUE){ # m <- length(a) # Q <- rep(NA, m) # # II <- (1:m)[abs(a) > 1e-6] # Q[II] <- q[II] / a[II] + (exp(a[II] * (v[II] - u[II])) * pnorm(x - v[II], mean = 0, sd = gamma) - # pnorm(x - u[II], mean = 0, sd = gamma)) / a[II] # # II <- (1:m)[abs(a) <= 1e-6] # Q[II] <- (x - u[II]) * pnorm(x - u[II], mean = 0, sd = gamma) - (x - v[II]) * pnorm(x - v[II], mean = 0, sd = gamma) + gamma ^ 2 * (dnorm(x - u[II], mean = 0, sd = gamma) - dnorm(x - v[II], mean = 0, sd = gamma)) # } # # res <- list("q" = q, "Q" = Q) # return(res) # } logcondens/R/logconTwoSample.r0000644000176200001440000000226014756145525016124 0ustar liggesuserslogconTwoSample <- function(x, y, which = c("MLE", "smooth"), M = 999, n.grid = 500, display = TRUE, seed0 = 1977) { n1 <- length(x) n2 <- length(y) fac <- sqrt(n1 * n2 / (n1 + n2)) test.stat <- matrix(NA, nrow = M, ncol = 2) set.seed(seed0) for (m in 1:M) { per <- sample(c(x, y)) x.per <- per[1:n1] y.per <- per[(n1 + 1):(n1 + n2)] res1 <- logConDens(x.per, smoothed = FALSE) res2 <- logConDens(y.per, smoothed = FALSE) test.stat[m, ] <- maxDiffCDF(res1, res2, which = which, n.grid = n.grid)$test.stat if (display) { print(paste("Iteration ", m, " of ", M, " done", sep = "")) } } # calculate p-value test.stat[is.na(test.stat)] <- -Inf test.stat <- apply(test.stat, 2, sort) test.stat.orig <- maxDiffCDF(logConDens(x, smoothed = FALSE), logConDens(y, smoothed = FALSE), which = which, n.grid = n.grid)$test.stat ps <- rep(NA, 2) for (i in 1:2) { ps[i] <- (1 + sum(test.stat[, i] >= test.stat.orig[i])) / (1 + M) } test.stat[test.stat == -Inf] <- NA res <- list("p.value" = ps, "test.stat.orig" = test.stat.orig * fac, "test.stats" = test.stat * fac) return(res) } # logcondens/R/MLE.r0000644000176200001440000000353414756145525013431 0ustar liggesusersMLE <- function(x, w = NA, phi_o = NA, prec = 1e-7, print = FALSE) { n <- length(x) if (sum(x[2:n] <= x[1:n - 1]) > 0) { cat("We need strictly increasing numbers x(i)!\n") } if (max(is.na(w)) == 1) { w <- rep(1 / n, n) } if (sum(w <= 0) > 0) { cat("We need strictly positive weights w(i)!\n") } ww <- w / sum(w) if (any(is.na(phi_o))) { m <- sum(ww * x) s2 <- sum(ww * (x - m)^2) phi <- LocalNormalize(x, -(x - m)^2 / (2 * s2)) } else { phi <- LocalNormalize(x, phi_o) } iter0 <- 0 res <- Local_LL_all(x, ww, phi) L <- res$ll phi_new <- res$phi_new dirderiv <- res$dirderiv while ((dirderiv >= prec) & (iter0 < 100)) { iter0 <- iter0 + 1 L_new <- Local_LL(x, ww, phi_new) iter1 <- 0 while ((L_new < L) & (iter1 < 20)) { iter1 <- iter1 + 1 phi_new <- 0.5 * (phi + phi_new) L_new <- Local_LL(x, ww, phi_new) dirderiv <- 0.5 * dirderiv if (print == TRUE) { print(paste("iter0=", iter0, " / iter1=", iter1, " / L=", round(L_new, 4), " / dirderiv=", round(dirderiv, 4), sep = "" )) } } if (L_new >= L) { tstar <- max((L_new - L) / dirderiv) if (tstar >= 0.5) { phi <- LocalNormalize(x, phi_new) } else { tstar <- max(0.5 / (1 - tstar)) phi <- LocalNormalize(x, (1 - tstar) * phi + tstar * phi_new) } res <- Local_LL_all(x, ww, phi) L <- res$ll phi_new <- res$phi_new dirderiv <- res$dirderiv } else { dirderiv <- 0 } if (print == TRUE) { print(paste("iter0=", iter0, " / iter1=", iter1, " / L=", round(L, 4), " / dirderiv=", round(dirderiv, 4), sep = "" )) } } res <- list(phi = phi, L = L, Fhat = LocalF(x, phi)) return(res) } logcondens/R/J11.r0000644000176200001440000000136714756145524013350 0ustar liggesusersJ11 <- function(x, y) { m <- length(x) z <- exp(x) d <- y - x II <- (1:m)[abs(d) > 0.02] z[II] <- z[II] * (d[II] * (exp(d[II]) + 1) - 2 * (exp(d[II]) - 1)) / (d[II]^3) II <- (1:m)[abs(d) <= 0.02] z[II] <- z[II] * (1 / 6 + d[II] * (1 / 12 + d[II] * (1 / 40 + d[II] * (1 / 180 + d[II] / 1008)))) return(z) } # version prior to e-mails of LD of August 2010 # J11 <- function(x, y){ # m <- length(x) # z <- exp(x) # d <- y - x # II <- (1:m)[abs(d) > 10^(-6)] # z[II] <- z[II] * (exp(d[II]) * (d[II] - 2) + 2 + d[II])/(d[II] ^ 3) # II <- (1:m)[abs(d) <= 10^(-6)] # z[II] <- z[II] * (1 / 6 + d[II] / 12 + d[II] ^ 2 / 60 + d[II] ^ 3 / 180) # return(z) # } logcondens/R/LocalMLE.r0000644000176200001440000000225614756145524014403 0ustar liggesusersLocalMLE <- function(x, w, IsKnot, phi_o, prec) { n <- length(x) res1 <- LocalCoarsen(x, w, IsKnot) x2 <- res1$x2 w2 <- res1$w2 K <- (1:n) * IsKnot K <- K[K > 0] res2 <- MLE(x2, w2, phi_o[K]) phi <- res2$phi L <- res2$L phi <- LocalExtend(x = x, IsKnot = IsKnot, x2 = x2, phi2 = phi) conv <- as.vector(LocalConvexity(x, phi)) * IsKnot Fhat <- LocalF(x, phi) H <- 1:n * 0 JJ <- (1:n) * IsKnot JJ <- JJ[JJ > 0] for (i in 1:(length(JJ) - 1)) { if (JJ[i + 1] > JJ[i] + 1) { dtmp <- x[JJ[i + 1]] - x[JJ[i]] ind <- (JJ[i] + 1):(JJ[i + 1] - 1) mtmp <- length(ind) xtmp <- (x[ind] - x[JJ[i]]) / dtmp wtmp <- w[ind] cstmp <- cumsum(xtmp) H[ind] <- dtmp * (cumsum(wtmp * xtmp) - xtmp * cumsum(wtmp) + xtmp * sum(wtmp * (1 - xtmp))) jtmp1 <- xtmp * J10(phi[ind], phi[JJ[i]] * rep(1, mtmp)) jtmp2 <- (1 - xtmp) * J10(phi[ind], phi[JJ[i + 1]] * rep(1, mtmp)) H[ind] <- H[ind] - dtmp^2 * (xtmp * (1 - xtmp)) * (jtmp1 + jtmp2) } ## end if } ## end for res <- list(phi = matrix(phi, ncol = 1), L = L, conv = matrix(conv, ncol = 1), H = matrix(H, ncol = 1)) return(res) } logcondens/R/confIntBootLogConROC_t0.r0000644000176200001440000000232114756145524017301 0ustar liggesusersconfIntBootLogConROC_t0 <- function(controls, cases, grid = c(0.2, 0.8), conf.level = 0.95, M = 1000, smooth = TRUE, output = TRUE) { alpha <- 1 - conf.level boot.mat <- matrix(NA, nrow = length(grid), ncol = M) boot.mat.smooth <- boot.mat for (m in 1:M) { con.m <- sample(controls, replace = TRUE) cas.m <- sample(cases, replace = TRUE) roc <- logConROC(cas.m, con.m, grid, smooth = smooth) boot.mat[, m] <- roc$fROC if (identical(smooth, TRUE)) { boot.mat.smooth[, m] <- roc$fROC.smooth } if (identical(output, TRUE)) { print(paste(m, " of ", M, " runs done", sep = "")) } } ## quantiles of distribution at each point qs <- data.frame(cbind(grid, t(apply(boot.mat, 1, quantile, c(alpha / 2, 1 - alpha / 2))))) colnames(qs) <- c("t", "CIlow", "CIup") qs.smooth <- NA if (identical(smooth, TRUE)) { qs.smooth <- data.frame(cbind(grid, t(apply(boot.mat.smooth, 1, quantile, c(alpha / 2, 1 - alpha / 2))))) colnames(qs.smooth) <- c("t", "CIlow", "CIup") } ## generate output res <- list("quantiles" = qs, "boot.samples" = boot.mat, "quantiles.smooth" = qs.smooth, "boot.samples.smooth" = boot.mat.smooth) return(res) } logcondens/R/preProcess.r0000644000176200001440000000307014756145525015134 0ustar liggesuserspreProcess <- function(x, xgrid = NULL) { n <- length(x) if (is.null(xgrid)) { # Default setting: xx <- sort(x) tmp <- c(xx[1:(n - 1)] < xx[2:n], TRUE) ww <- c(0, (1:n)[tmp]) ww <- (ww[2:length(ww)] - ww[1:(length(ww) - 1)]) / n xx <- xx[tmp] } if (!is.null(xgrid)) { if (length(xgrid) == 1) { # xgrid is the distance between consecutive grid points: xx <- (floor(min(x) / xgrid):ceiling(max(x) / xgrid)) * xgrid } else { xx <- xgrid if (min(x) < xx[1]) { xx <- c(min(x), xx) } if (max(x) > xx[length(xx)]) { xx <- c(xx, max(x)) } } m <- length(xx) ww <- rep(0, m) for (i in 1:n) { tmp <- max(min(sum(xx <= x[i]), m - 1), 1) # tmp is an index in {1, 2, ..., m-1} # such that x[i] is in [xx[tmp], xx[tmp+1]]. # Here min(..., m-1) is necessary for the # case of x[i] == x[mm], while max(..., 1) # is for the case of x[i] < xx[1] due to # numerical errors. ww[tmp] <- ww[tmp] + (xx[tmp + 1] - x[i]) / (xx[tmp + 1] - xx[tmp]) ww[tmp + 1] <- ww[tmp + 1] + (x[i] - xx[tmp]) / (xx[tmp + 1] - xx[tmp]) } ww <- ww / n # Finally, reduce xx and ww such that # all weights ww[i] are clearly positive: tmp <- (ww > 1e-7 / n) xx <- xx[tmp] ww <- ww[tmp] ww <- ww / sum(ww) } est.m <- sum(ww * xx) est.sd <- sum(ww * (xx - est.m)^2) est.sd <- sqrt(est.sd * n / (n - 1)) return(list("x" = xx, "w" = ww, "sig" = est.sd, "n" = n)) } logcondens/R/summary.dlc.r0000644000176200001440000000341514756145525015250 0ustar liggesuserssummary.dlc <- function(object, ...) { x <- object$x phi <- object$phi n <- length(object$xn) m <- length(x) mode <- x[phi == max(phi)] phi.mode <- phi[x == mode] f.mode <- exp(phi.mode) knots <- (1:m)[object$IsKnot == 1] p <- "\nEstimation of a log-concave density from i.i.d. data\n" pn <- paste("\nNumber of initial observations: n = ", n, "\n", sep = "") p0 <- paste("\nNumber of unique observations (or grid points): m = ", m, "\n", sep = "") pw <- paste("\nMinimal and maximal weight: ", min(object$w), ", ", max(object$w), "\n", sep = "") p1 <- paste("\nlog-likelihood: ", round(object$L, 2), "\n", sep = "") p2 <- paste("\nMaximum likelihood estimate:\nMode: x[", (1:m)[x == mode], "] = ", format(mode, digits = 2), "\n", "Value of log-density at mode: ", format(phi.mode, digits = 2), "\n", "Value of density at mode: ", format(f.mode, digits = 2), "\n", sep = "" ) p3 <- paste("\nNumber of knots of the MLE: ", sum(object$IsKnot), "\n", sep = "") p4 <- paste("\nKnots of the MLE:\nx[", paste(knots, collapse = ", "), "] =\n", paste(format(x[object$IsKnot == 1], digits = 2), collapse = ", "), "\n\n", sep = "") if (object$smoothed == FALSE) { cat(p, pn, p0, pw, p1, p2, p3, p4) } if (object$smoothed == TRUE) { mode.s <- object$xs[object$f.smoothed == max(object$f.smoothed)] f.mode.s <- object$f.smoothed[object$xs == mode.s] phi.mode.s <- log(f.mode.s) p5 <- paste("\nSmoothed maximum likelihood estimate:\nMode: ", format(mode.s, digits = 2), "\n", "Value of log-density at mode: ", format(phi.mode.s, digits = 2), "\n", "Value of density at mode: ", format(f.mode.s, digits = 2), "\n", sep = "" ) cat(p, pn, p0, p1, p2, p5, p3, p4) } } logcondens/R/etaphi.r0000644000176200001440000000021514756145524014256 0ustar liggesusersetaphi <- function(x, eta) { n <- length(x) dx <- c(0, diff(x)) phi <- eta[1] + c(0, cumsum(dx[2:n] * eta[2:n])) return(phi) } logcondens/R/LocalNormalize.r0000644000176200001440000000026214756145524015721 0ustar liggesusersLocalNormalize <- function(x, phi) { n <- length(x) dx <- diff(x) phi_new <- phi - log(sum(dx * J00(phi[1:(n - 1)], phi[2:n]))) return(matrix(phi_new, ncol = 1)) } logcondens/R/J10.r0000644000176200001440000000127014756145524013340 0ustar liggesusersJ10 <- function(x, y) { m <- length(x) z <- exp(x) d <- y - x II <- (1:m)[abs(d) > 0.01] z[II] <- z[II] * (exp(d[II]) - 1 - d[II]) / (d[II]^2) II <- (1:m)[abs(d) <= 0.01] z[II] <- z[II] * (1 / 2 + d[II] * (1 / 6 + d[II] * (1 / 24 + d[II] * (1 / 120 + d[II] / 720)))) return(z) } # version prior to e-mails of LD of August 2010 # J10 <- function(x, y){ # m <- length(x) # z <- exp(x) # d <- y - x # II <- (1:m)[abs(d) > 10 ^ (-6)] # z[II] <- z[II] * (exp(d[II]) - 1 - d[II]) / (d[II] ^ 2) # II <- (1:m)[abs(d) <= 10 ^ (-6)] # z[II] <- z[II] * (1 / 2 + d[II]/6 + d[II] ^ 2 / 24) # return(z) # } logcondens/R/rLCD.R0000644000176200001440000000102514756145525013531 0ustar liggesusersrLCD <- function(n, mle) { phiknot <- mle$phi[mle$IsKnot == 1] Fhatknot <- mle$Fhat[mle$IsKnot == 1] xxknot <- mle$x[mle$IsKnot == 1] alpha <- diff(phiknot) / diff(xxknot) beta <- phiknot[-length(phiknot)] - alpha * xxknot[-length(xxknot)] p <- diff(Fhatknot) beta2 <- beta - log(p) k <- sample(1:length(p), n, replace = TRUE, prob = p) u <- runif(n) beta2k <- beta2[k] alphak <- alpha[k] xxk <- xxknot[k] res <- log(alphak * u * exp(-beta2k) + exp(alphak * xxk)) / alphak return(res) } logcondens/R/Lhat_eta.r0000644000176200001440000000027314756145524014531 0ustar liggesusersLhat_eta <- function(x, w, eta) { n <- length(x) dx <- diff(x) phi <- etaphi(x, eta) ll <- sum(w * phi) - sum(dx * J00(phi[1:(n - 1)], phi[2:n])) return(list(ll = ll)) } logcondens/NEWS0000644000176200001440000001024715173340050013106 0ustar liggesuserslogcondens_2.1.9: --------------------------------- - Minor update to comply with CRAN policies on format of DESCRIPTION. logcondens_2.1.8: --------------------------------- - Minor update to comply with CRAN policies. logcondens_2.1.7: --------------------------------- - Minor updates to prettify help files. - Fixed bug that prevented activeSetLogCon to run also for n = 2. logcondens_2.1.6: --------------------------------- - Updated references to JSS paper. logcondens_2.1.5: --------------------------------- - Minor updates. logcondens_2.1.4: --------------------------------- - Properly import globals. logcondens_2.1.3: --------------------------------- - Added proper S3 exporting. logcondens_2.1.2: --------------------------------- - Updated dependency for c2hat. - Updated webadress for Lutz Duembgen. logcondens_2.1.1: --------------------------------- - Updated logConCI to compute a confidence interval. logcondens_2.1.0: --------------------------------- - Reorganized vignette to conform. - Updated references. logcondens_2.0.9: --------------------------------- - Added seed to logConCI.Rd. - Changed handling of pmax in logConCI(). logcondens_2.0.8: --------------------------------- - Corrected a wrong link in evaluateLogConDens. - Added the function logConCI, contributed by M. Azadbakhsh and H. Jankowski. - Updated references. logcondens_2.0.7: --------------------------------- - Updated package to pass new checks on CRAN. - Updated references. logcondens_2.0.6: --------------------------------- - Modified function logConROC (option "smooth"). - Added function confIntBootLogConROC_t0(). logcondens_2.0.5: --------------------------------- - Added NAMESPACE. logcondens_2.0.4: --------------------------------- - Updated some references. - Corrected minor typos. logcondens_2.0.3: --------------------------------- - Contains final JSS paper version. logcondens_2.0.2: --------------------------------- - Added functions ROCx() and logConROC() - Added dataset 'pancreas' logcondens_2.0.1: --------------------------------- - Revision according to reviewer comments for JSS paper. - Replaced 'vectorToString()' by 'paste()' using option 'collapse' - Added JSS paper as a vignette to the package logcondens_2.0.0: --------------------------------- - Substantially reworked version according to revision of paper Duembgen and Rufibach (2010). - Updated Taylor approximations according to technical report Duembgen et al (2010). logcondens_1.3.5: --------------------------------- - Added 'reliability' and 'brightstar' datasets. - Added 'logconSmoothed'. - Added 'rlogcon'. logcondens_1.3.4: --------------------------------- - Included vignette in the package. logcondens_1.3.3: --------------------------------- - Updated references. - Updated vignette. logcondens_1.3.2: --------------------------------- - Updated references. logcondens_1.3.1: --------------------------------- - Updated contact informations. logcondens_1.3.0: --------------------------------- - Modified quantilesLogConDens. Value for p0 > 1 is set to +Inf. - Added the functions intF and intECDF. - Updated references. logcondens_1.2: --------------------------------- - Simplified evaluateLogConDens and quantilesLogConDens. Therefore, J00 was slightly generalized to variable upper endpoint and the function qloglin was introduced. - Replaced the variable name F for the estimated distribution function by Fhat. - Shortened title. logcondens_1.1: --------------------------------- - Specified affiliations. - Indicated that MatLab files are available upon request from Lutz Duembgen. - MLE: printed only L, but needs to print L_new; and print = 1 replaced by print = TRUE. - icmaLogCon: replaced ambiguous option "robust" by "robustif" (there is already a function called "robust") - LocalMLE: replaced explicit calculations by function call to LocalConvexity. - Help files: reformulated and complemented some entries. - Vignette: corrected some typos. logcondens_1.0 (initial version): --------------------------------- - Provide functions to estimate a log-concave probability density. logcondens/vignettes/0000755000176200001440000000000015173437231014423 5ustar 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and pdfbookmarks % (arguments were switched).} % % \changes{1.2}{2004/10/02} % {changed logo name, improved docs} % % \changes{1.3}{2004/10/05} % {fixed Shorttitle default} % % \changes{1.4}{2005/01/28} % {updated docs} % % \changes{1.5}{2005/12/09} % {now an official ASA journal} % % \changes{1.6}{2007/01/28} % {small enhancements} % % \changes{1.7}{2007/10/15} % {changed link colors, modifed hyperref inclusion for texlive} % % \changes{1.8}{2008/04/08} % {added option to omit JSS markup, slightly changed pkg markup} % % % % \MakeShortVerb{\|} % \newcommand{\foopkg}[1]{{\normalfont\fontseries{b}\selectfont #1}} % \newcommand{\enquote}[1]{``#1''} % % \title{\foopkg{jss}: A Document Class for Publications in the Journal of Statistical Software} % \author{Achim Zeileis} % % \maketitle % % \section{Introduction} \label{sec:intro} % % The \LaTeXe{} document class \foopkg{jss} is an extension of the % standard \LaTeXe{} \foopkg{article} class for publications in the % Journal of Statistical Software (JSS, \url{http://www.jstatsoft.org/}). % It provides infrastructure for all four kinds of publications % in JSS: regular articles, code snippets, book reviews and % software reviews. Each document requires several declarations to % be made in the header (before |\begin{document}|) % which are described in Section~\ref{sec:ifa} separately % for articles/code snippets and book/software reviews % along with some general commands % which can be used in all documents. % % The final version of JSS papers should be prepared using this JSS style file; % the submission of the final version needs to include the full sources % (|.tex|, |.bib|, and all graphics). A quick check for the most important aspects % of the JSS style is given in Section~\ref{sec:check}; authors should make sure that all % of them are addressed in the final version. % % All documents need to be processed by pdf\TeX{}, some useful information % on this is provided in Section~\ref{sec:TeX}, which also contains some % information on using \textsc{Bib}\TeX{}. \textsc{Bib}\TeX{} together % with the style file |jss.bst| produces references % and citations in the required format. % % The actual code for the batch file (|jss.ins|), the % driver (|jss.drv|) and the class (|jss.cls|) are % briefly described in Section~\ref{sec:code}. Note, that usually % you do not have to read that section when you want to prepare % a submission for JSS. % % % \section{Instructions for authors} \label{sec:ifa} % % To use the JSS styles, you have to include the class file % |jss.cls|, the logo |jsslogo.jpg| and the \textsc{Bib}\TeX{} % style \texttt{jss.bst} in your search path. This can either be % your local working directory or in your |texmf| or % |localtexmf| tree. % % The \LaTeX{} documents have to include the |jss.cls| first by % % |\documentclass[|\textit{type}|]{jss}| % % where \textit{type} can be |article| (which is the default), % |codesnippet|, |bookreview| or |softwarereview|. % Templates with brief instructions are provided in % |article.tex|, |codesnippet.tex|, |bookreview.tex| % and |softwarereview.tex| respectively. The corresponding % commands used for the header declarations are described % in more detail in the following. % % By using |jss.cls|, the packages \foopkg{graphicx}, \foopkg{a4wide}, % \foopkg{color}, \foopkg{hyperref}, \foopkg{ae}, \foopkg{fancyverb} and % \foopkg{natbib} are loaded automatically. % Authors may, of course, include further packages % but should not change the page layout % or change the font or font encoding. If the package \foopkg{thumbpdf} % is available, its inclusion is encouraged % % The titles of JSS publications are capitalized, i.e., in title style, but the section % headers are not and should be in sentence-style. % % Acknowledgments should be included at the end of the paper before the % references in a separate section set up via |\section*{Acknowledgments}|. % % \emph{Hint.} If you want to use markup in section headers you will usually % have to escape it for the PDF bookmarks by giving the text for the % bookmark explicitly without markup, e.g., % \begin{verbatim} % \section[Calling C++ from R]{Calling \proglang{C++} from \proglang{R}} % \end{verbatim} % % \emph{Hint.} If compilation with pdf\TeX{} fails with an error at % |\begin{document}| the reason is almost surely that some of the % declarations in the header have not been made properly. For example, % |\Plainauthor|, |\Plaintitle| or |\Plainkeywords| might be missing % or still containing markup. % % \emph{Hint.} If you want to use the JSS style for a non-JSS paper % (or a modification of an JSS paper, e.g., in a vignette), you can % set the option |nojss| in the |\documentclass| statement to suppress % JSS-specific layout. % % % \subsection{Style checklist} \label{sec:check} % A quick check for the most important aspects of the JSS style is given below. % Authors should make sure that all of them are addressed in the final version. % More details can be found in the remainder of this manual. % % \begin{itemize} % \item The manuscript can be compiled by pdf\TeX{}. % \item |\proglang|, |\pkg| and |\code| has been used for highlighting % throughout the paper (including references). % \item References are provided in a |.bib| \textsc{Bib}\TeX{} database % and included in the text by |\cite|, |\citep|, |\citet|, etc. % \item Titles and headers are formatted properly: % \begin{itemize} % \item |\title| in title style, % \item |\section| etc.\ in sentence style, % \item all titles in the \textsc{Bib}\TeX{} file in title style. % \end{itemize} % \item Figures, tables and equations are marked with a |\label| % and referred to by |\ref|, e.g., ``|Figure~\ref{...}|''. % \item Software packes are |\cite{}|d properly. % \end{itemize} % % % \subsection{Articles and code snippets} % % For JSS articles and code snippets respectively, % the following declarations have to be made % in the header of the \TeX{} sources (before |\begin{document}|). % See also the template |article.tex| or |codesnippet.tex| % respectively. % % \DescribeMacro{\author} % The command |\author| specifies the list of authors. The name % of each author should be followed by a linebreak and his % affiliation (only the university, in a single line). The authors % should be separated by |\And| (instead of |\and|), e.g., % \begin{verbatim} % \author{Achim Zeileis\\Wirtschaftsuniversit\"at Wien \And % Second Author\\Plus Affiliation} % \end{verbatim} % If not all authors fit into a single line, |\AND| (instead of % |\And|) should be used in front of authors that should go into % the next line. % % \DescribeMacro{\Plainauthor} % The list of authors without affiliations. It needs to be % comma-separated and must not contain any markup (bold fonts etc.), e.g., % \begin{verbatim} % \Plainauthor{Achim Zeileis, Second Author} % \end{verbatim} % % \DescribeMacro{\title} % The title of the paper. It should be capitalized and may contain % further markup (in particular markup such as |\pkg| and |\proglang|), e.g., % \begin{verbatim} % \title{A Capitalized Title for a Package \pkg{foo}} % \end{verbatim} % % \DescribeMacro{\Plaintitle} % The full title without any markup. % The default is to use |\title|, therefore it needs to be specified % only if it is different from |\title|, e.g., % \begin{verbatim} % \Plaintitle{A Capitalized Title for a Package foo} % \end{verbatim} % % \DescribeMacro{\Shorttitle} % A shorter version of the title to be used for page headings. % The default is to use |\title|, therefore it needs to be specified % only if it is different from |\title|, e.g., % \begin{verbatim} % \Shorttitle{A Capitalized Title} % \end{verbatim} % % \DescribeMacro{\Abstract} % Enter the abstract for your article here, e.g., % \begin{verbatim} % \Abstract{ % The abstract of the article. % } % \end{verbatim} % % \DescribeMacro{\Keywords} % A comma-separated list of (at least one) keyword(s) which % should not be capitalized, e.g., % |\Keywords{keywords, comma-separated, not capitalized}|. % % \DescribeMacro{\Plainkeywords} % The list of keywords without any markup. The default is to use % |\Keywords|, therefore it needs to be specified only % if it is different from |\Keywords|. % % \DescribeMacro{\Volume} % The JSS volume number in which the article is published, % e.g., |\Volume{11}|. Note: % This information will be provided upon acceptance % or added by the technical editor. Prior to acceptance, % do not use this command. % % \DescribeMacro{\Issue} % The JSS issue number in which the article is published, % e.g., |\Issue{9}|. Note: % This information will be provided upon acceptance % or added by the technical editor. Prior to acceptance, % do not use this command. % % \DescribeMacro{\Month} % The month in which the article is published, % e.g., |\Month{September}|. Note: % This information will be provided upon acceptance % or added by the technical editor. Prior to acceptance, % do not use this command. % % \DescribeMacro{\Year} % The year in which the article is published, % e.g., |\Year{2004}|. Note: % This information will be provided upon acceptance % or added by the technical editor. Prior to acceptance, % do not use this command. % % \DescribeMacro{\Submitdate} % The date of submission for the article, % e.g., |\Submitdate{2004-09-29}|. Note: % This information will be provided upon acceptance % or added by the technical editor. Prior to acceptance, % do not use this command. % % \DescribeMacro{\Acceptdate} % The date of acceptance for the article, % e.g., |\Acceptdate{2004-09-29}|. Note: % This information will be provided upon acceptance % or added by the technical editor. Prior to acceptance, % do not use this command. % % \DescribeMacro{\Address} % The address of (at least) one author should be given in % the following format % \begin{verbatim} % \Address{ % Achim Zeileis\\ % Department of Statistics and Mathematics\\ % Wirtschaftsuniversit\"at Wien\\ % 1090 Wien, Austria\\ % E-mail: \email{Achim.Zeileis@wu-wien.ac.at}\\ % URL: \url{http://statmath.wu-wien.ac.at/~zeileis/} % } % \end{verbatim} % It is also possible to include your telephone and fax % number, by adding them in the format % \begin{verbatim} % Telephone: +43/1/31336-5053 % Fax: +43/1/31336-734 % \end{verbatim} % before the e-mail address. % % Furthermore, if the document is prepared using the |Sweave| % functions in \textsf{R}, something like the following line % \begin{verbatim} % %% need no \usepackage{Sweave.sty} % \end{verbatim} % (with `\%\%') needs to be included in the header. % % \subsection{Book and software reviews} % % For JSS book and software respectively, % the following declarations have to be made % in the header of the \TeX{} sources (before |\begin{document}|). % See also the template |bookreview.tex| or |softwarereview.tex| % respectively. Note that some commands might differ between % book and software reviews, this is always stated explicitely % below. % % \DescribeMacro{\Reviewer} % The command |\Reviewer| specifies the name of the reviewer % followed by a linebreak and his affiliation (only the university, % in a single line), e.g., % \begin{verbatim} % \Reviewer{Frederic Udina\\Pompeu Fabra University} % \end{verbatim} % % \DescribeMacro{\Plainreviewer} % The name of the reviewer without affiliation. % It must not contain any markup (bold fonts etc.), e.g., % \begin{verbatim} % \Plainauthor{Frederic Udina} % \end{verbatim} % % \emph{The following five commands are just required for book reviews.} % % \DescribeMacro{\Booktitle} % The title of the book. It should be capitalized and may contain % further markup (in particular markup such as |\pkg| and |\proglang|), e.g., % \begin{verbatim} % \Booktitle{Visualizing Categorical Data} % \end{verbatim} % % \DescribeMacro{\Bookauthor} % Author(s) of the book, e.g., % \begin{verbatim} % \Bookauthor{Michael Friendly} % \end{verbatim} % If there are several authors they should be comma-separated, % and the last author separated by |and|, e.g., % |\Bookauthor{A and B}| or |\Bookauthor{A, B and C}|. % % \DescribeMacro{\Pubyear} % Year of publication, e.g., |\Pubyear{2000}|. % % \DescribeMacro{\ISBN} % ISBN number, e.g., |\ISBN{1-58025-660-0}|. % % \DescribeMacro{\Pages} % Number of pages, both arabic and roman (if available), e.g., % |\Pages{456}| or |\Pages{xvi + 145}|. % % \emph{The following command is just required for software reviews.} % % \DescribeMacro{\Softwaretitle} % The title of the software. It should be capitalized and may contain % further markup (in particular markup such as |\pkg| and |\proglang|), e.g., % \begin{verbatim} % \Softwaretitle{\pkg{Aabel} 1.5.7} % \end{verbatim} % % \emph{The remaining commands are again required for both book and software reviews.} % % \DescribeMacro{\Publisher} % Publisher of the book/software, e.g., |\Publisher{SAS Institute Inc.}| % or\\ |\Publisher{Gigawiz Ltd. Co.}|. % % \DescribeMacro{\Pubaddress} % Address of the publisher of the book/software, e.g., |\Pubaddress{Carey, NC}|. % % \DescribeMacro{\Price} % Price of the book/software. For books this might simply be % |\Price{USD 69.95}| or\\ |\Price{USD 69.95 (P)}|, but could also distinguish between hardcover % and paperback\\ versions |\Price{USD 69.95 (P), USD 89.95 (H)}|. Analogously, % for a software it could\\ be |\Price{USD 349 (standard), USD 249 (academic)}|. % % \DescribeMacro{\URL} % A URL for the book or software, e.g., % \begin{verbatim} % \URL{http://www.math.yorku.ca/SCS/vcd/} % \end{verbatim} % If no URL is available, use |\URL{}|. % % \DescribeMacro{\Plaintitle} % The full book or software title without any markup (line breaks, bold fonts etc.). % The default is to use |\Booktitle| or |\Softwaretitle| respectively, % therefore it needs to be specified % only if it is different from |\Booktitle| or |\Softwaretitle|, e.g., % \begin{verbatim} % \Plaintitle{Visualizing Categorical Data} % \end{verbatim} % % \DescribeMacro{\Shorttitle} % A shorter version of the book or software title to be used for page headings. % The default is to use |\Booktitle| or |\Softwaretitle| respectively, % therefore it needs to be specified % only if it is different from |\Booktitle| or |\Softwaretitle|, e.g., % \begin{verbatim} % \Shorttitle{Visualizing Categorical Data} % \end{verbatim} % % \DescribeMacro{\Volume} % The JSS volume number in which the review is published, % e.g., |\Volume{11}|. Note: % This information will be provided upon acceptance % or added by the technical editor. % % \DescribeMacro{\Issue} % The JSS issue number in which the review is published, % e.g., |\Issue{9}|. Note: % This information will be provided upon acceptance % or added by the technical editor. % % \DescribeMacro{\Month} % The month in which the review is published, % e.g., |\Month{September}|. Note: % This information will be provided upon acceptance % or added by the technical editor. % % \DescribeMacro{\Year} % The year in which the review is published, % e.g., |\Year{2004}|. Note: % This information will be provided upon acceptance % or added by the technical editor. % % \DescribeMacro{\Submitdate} % The date of publication for the review, % e.g., |\Submitdate{2004-09-29}|. Note: % This information will be provided upon acceptance % or added by the technical editor. % % \DescribeMacro{\Address} % The address of (at least) one author should be given in % the following format % \begin{verbatim} % \Address{ % Achim Zeileis\\ % Department f\"ur Statistik \& Mathematik\\ % Wirtschaftsuniversit\"at Wien\\ % 1090 Wien, Austria\\ % E-mail: \email{Achim.Zeileis@wu-wien.ac.at}\\ % URL: \url{http://statmath.wu-wien.ac.at/~zeileis/} % } % \end{verbatim} % It is also possible to include your telephone and fax % number, by adding them in the format % \begin{verbatim} % Telephone: +43/1/31336-5053 % Fax: +43/1/31336-734 % \end{verbatim} % before the e-mail address. % % \subsection{Further commands} % % The \foopkg{jss} package provides several commands for typesetting % names related to software (programming languages, packages, code) and % mathematical formulae. % % \subsubsection*{Writing about software} % % \DescribeMacro{\proglang} % This should be used for typesetting the names of programming % languages, e.g., |\proglang{Java}|, |\proglang{C++}| or |\proglang{R}|. % This applies also to programmable environments which also have a GUI % like |\proglang{SAS}|, |\proglang{Stata}| or |\proglang{S-PLUS}|. % % \DescribeMacro{\pkg} % This should be used for typesetting the names of packages, e.g., % |\pkg{CMregr}|, |\pkg{MATCH}| or |\pkg{strucchange}|. % % \DescribeMacro{\code} % This should be used for typesetting code chunks within % the text, e.g., |\code{plot(1:10)}|. Currently, this simply uses a typewriter % font. Although it escapes most special characters, it might still lead to % problems with some special characters. % In such cases the code can also be set using |\verb|, e.g., % |\verb/print("hello world")/|. % % \subsubsection*{Layout of code} % % |jss.cls| only provides very simple means of including code which are mostly % borrowed from \foopkg{Sweave}. There are three verbatim environments for code: |Code|, % |CodeInput| and |CodeOutput|. Furthermore, there is an environment % |CodeChunk| which can be put around sequences of |CodeInput|s and % |CodeOutput|s to (hopefully) keep \LaTeX{} from page-breaking in the middle of % a code chunk. In short, there are two options: a) if no distinction between % input and output is necessary, the code is placed between |\begin{Code}| % and |\end{Code}|. b) If input and output should be distinguished, this can % be done like in the following example. % \begin{verbatim} % \begin{CodeChunk} % \begin{CodeInput} % first input first line % first input second line % \end{CodeInput} % \begin{CodeOutput} % output of first input % \end{CodeOutput} % \begin{CodeInput} % second input % \end{CodeInput} % \begin{CodeOutput} % second output % \end{CodeOutput} % \end{CodeChunk} % \end{verbatim} % An example what this could look like, is the following \textsf{R} code. The first % three lines are the input, the rest is output. % \begin{verbatim} % \begin{CodeChunk} % \begin{CodeInput} % R> data(cars) % R> fm <- lm(dist ~ speed, data = log(cars)) % R> summary(fm) % \end{CodeInput} % \begin{CodeOutput} % Call: % lm(formula = dist ~ speed, data = log(cars)) % % Residuals: % Min 1Q Median 3Q Max % -1.00215 -0.24578 -0.02898 0.20717 0.88289 % % Coefficients: % Estimate Std. Error t value Pr(>|t|) % (Intercept) -0.7297 0.3758 -1.941 0.0581 . % speed 1.6024 0.1395 11.484 2.26e-15 *** % --- % Signif. codes: 0 `***' 0.001 `**' 0.01 `*' 0.05 `.' 0.1 ` ' 1 % % Residual standard error: 0.4053 on 48 degrees of freedom % Multiple R-Squared: 0.7331, Adjusted R-squared: 0.7276 % F-statistic: 131.9 on 1 and 48 DF, p-value: 2.259e-15 % \end{CodeOutput} % \end{CodeChunk} % \end{verbatim} % If you prepare your paper using \foopkg{Sweave} (which is recommended % if you describe an \textsf{R} package) do \emph{not} include % |Sweave.sty| into your document, the necessary commands are already available within % |jss.cls|. To prevent \foopkg{Sweave} from including |Sweave.sty| % automatically you need to include a line like % \begin{verbatim} % %% need no \usepackage{Sweave.sty} % \end{verbatim} % (with `\%\%') into the header of your document. % % If this basic infrastructure for typesetting your code is not % sufficient, you can also use other \LaTeX{} packages like the % \foopkg{listings} package. % % \subsubsection*{Mathematical formulae} % % Commonly used operators like $\mathsf{E}$, $\mathsf{VAR}$, $\mathsf{COV}$, and $\mathsf{P}$ should be set % using the commands |\E|, |\VAR|, |\COV| and |\Prob|. Beyond this, \foopkg{jss} does not % provide (or enforce) a certain mathematical notation. However, using the \foopkg{statex} % package (e.g., available from CTAN and in \TeX{} Live) could be useful. % % % \section{Using pdf\TeX{} and \textbf{\sc Bib}\TeX{}} \label{sec:TeX} % % \subsubsection*{Using pdf\TeX{}} % % A \LaTeX{} document (|foo.tex|, say) using |jss.cls| needs to be compiled using % pdf\TeX{}, typically this will be done using either of the % following commands: % \begin{verbatim} % pdflatex foo.tex % % texi2dvi --pdf foo.tex % % texi2pdf foo.tex % \end{verbatim} % If you are not using command line tools but some integrated GUI editor for % \LaTeX{} documents you will have to press the `pdf\LaTeX{}' button % (as opposed to the `\LaTeX{}' button). % % All graphics included into the document have to be in a format pdf\TeX{} can % deal with, i.e., PDF for vector graphics or JPG/PNG/etc. for bitmaps/raster graphics. % If you cannot produce PDF graphics directly but only PS/EPS, these can % be converted using |ps2pdf| or |epstopdf| (usually preferred). % % \emph{Hint.} If you are used to compiling your documents with standard \LaTeX{} % and then getting automatic reloads of the resulting DVI document % in your DVI viewer, which is not possible with PDF documents in many % PDF viewers: you might want to look at \foopkg{xpdf} (Linux) or \foopkg{gsview} % (Windows, see \url{http://www.cs.wisc.edu/~ghost/gsview/}) % which have a reload function. % % \emph{Hint.} If you want to use markup in section headers you will usually % have to escape it for the PDF bookmarks by giving the text for the % bookmark explicitly without markup, e.g., % \begin{verbatim} % \section[Calling C++ from R]{Calling \proglang{C++} from \proglang{R}} % \end{verbatim} % % \emph{Hint.} If you know how to produce \LaTeX{} documents that can be % processed with both \LaTeX{} and pdf\TeX{}, you can do so if you provide % an EPS substitute for |jsslogo.jpg| (e.g. an empty or converted |jsslogo.eps|). % Note, however, that the final document needs to be processed with pdf\TeX{}. % Neither this manual nor the JSS encourage or support compilation of % JSS documents with standard \LaTeX{}. % % % \subsubsection*{References with \textbf{\sc Bib}\TeX{}} % % The format for references (e.g., articles, books, software, proceedings) % should look like this % % \begin{quote} % Brown RL, Durbin J, Evans JM (1975). % \newblock \enquote{Techniques for Testing the Constancy of Regression % Relationships over Time.} % \newblock \emph{Journal of the Royal Statistical Society B}, \textbf{37}, % 149--163. % % Friendly M (2000). % \newblock \emph{Visualizing Categorical Data}. % \newblock SAS Insitute, Carey, NC. % % {\textsf{R} Development Core Team} (2004). % \newblock \emph{\textsf{R}: {A} Language and Environment for Statistical % Computing}. % \newblock \textsf{R} Foundation for Statistical Computing, Vienna, Austria. % \newblock {ISBN} 3-900051-00-3, URL~\url{http://www.R-project.org/}. % % Urbanek S, Theus M (2003). % \newblock \enquote{\foopkg{iPlots} -- {H}igh Interaction Graphics for \textsf{R}.} % \newblock In K~Hornik, F~Leisch, A~Zeileis (eds.), \enquote{Proceedings of the % 3rd International Workshop on Distributed Statistical Computing, Vienna, % Austria,} {ISSN 1609-395X}, % URL~\url{http://www.ci.tuwien.ac.at/Conferences/DSC-2003/Proceedings/}. % \end{quote} % % \emph{Important.} Note, that also the titles of papers are in title style % (as opposed to sentence style), i.e., they are capitalized. % The first word after a colon `:' is always capitalized. Furthermore, commands % like \verb/\proglang/ and \verb/\pkg/ should also be used for the % references. The names of journals or proceeding volumes should not % be abbreviated. % % The easiest way to achieve this % is to use \textsc{Bib}\TeX{} together with the style file |jss.bst|. % To do so, the references just have to be included in a \textsc{Bib}\TeX{} file, % |foo.bib| say, which has to be included at the end of the \LaTeX{} % document by |\bibliography{foo}|. % Note, that to obtain references in the format above, the |title| field % in your bib file, needs to be capitalized (contrary to the folklore, % there are \textsc{Bib}\TeX{} styles that rely on this even for |@Article| % entries), i.e. the entry |title = {Visualizing Categorical Data}| is % correct, while entries like |title = {Visualizing categorical data}| % or (even worse) |title = {{Visualizing categorical data}}| are not. % % The default in |jss.cls| is to use the \foopkg{natbib} package % with options |authoryear|, |round| and |longnamesfirst|. If you cite % any article with six or more authors the latter option should be % turned off. This can be done by using the option |shortnames| % when loading the |jss.cls| class % \begin{verbatim} % \documentclass[article,shortnames]{jss} % \end{verbatim} % % % %\newpage % % \section{The code} \label{sec:code} % % \subsection{The batch file} % % First comes the code for creating the batch file \file{\filename.ins} % which in turn can be used for producing the package and driver files. % % \begin{macrocode} %<*install> \begin{filecontents}{\filename.ins} % Simply TeX or LaTeX this file to extract various files from the source % file `jss.dtx'. \def\filedate{2004/09/29} \def\batchfile{jss.ins} \input docstrip.tex \generateFile{jss.drv}{t}{\from{jss.dtx}{driver}} \generateFile{jss.cls}{t}{\from{jss.dtx}{class}} \Msg{*******************************************************} \Msg{* For documentation, run LaTeX on jss.dtx or jss.drv. *} \Msg{*******************************************************} \end{filecontents} % % \end{macrocode} % % \subsection{The driver} % % Next comes the documentation driver file for \TeX{}, i.e., the file % that will produce the documentation you are currently reading. It % will be extracted from this file by the \texttt{docstrip} % program. Since it is the first code in the file one can % alternatively process this file directly with \LaTeXe{} to obtain % the documentation. % % \begin{macrocode} %<*driver> \documentclass[a4paper]{ltxdoc} \providecommand{\file}[1]{\texttt{#1}} \providecommand{\pkg}[1]{{\fontseries{b}\selectfont #1}} \usepackage{color,hyperref,a4wide} \oddsidemargin1.2cm \textwidth14.2cm \textheight23.3cm \topmargin-.7cm \setlength{\parskip}{0.7ex plus0.1ex minus0.1ex} \setlength{\parindent}{0em} \begin{document} \OnlyDescription \DocInput{jss.dtx} \end{document} % % \end{macrocode} % % \subsection{The class} % % Next is the main part, the code for the class file. % % It requires \LaTeXe{} % \begin{macrocode} %<*class> \NeedsTeXFormat{LaTeX2e} \ProvidesClass{jss}[\filedate\space\fileversion\space jss class by Achim Zeileis] % % \end{macrocode} % and is based on the \texttt{article} class. But before we load % the class we declare and process some options. % These reflects wether we want to write an article, code snippet, % a book review or software review. The \texttt{shortnames} option % is for loading \texttt{natbib} \emph{without} the option % \texttt{longnamesfirst}. The \texttt{nojss} option suppresses JSS header and footer. % \begin{macrocode} %<*class> %% options \newif\if@article \newif\if@codesnippet \newif\if@bookreview \newif\if@softwarereview \newif\if@review \newif\if@shortnames \newif\if@nojss \@articletrue \@codesnippetfalse \@bookreviewfalse \@softwarereviewfalse \@reviewfalse \@shortnamesfalse \@nojssfalse \DeclareOption{article}{\@articletrue% \@codesnippetfalse \@bookreviewfalse \@softwarereviewfalse} \DeclareOption{codesnippet}{\@articlefalse% \@codesnippettrue \@bookreviewfalse \@softwarereviewfalse} \DeclareOption{bookreview}{\@articlefalse% \@codesnippetfalse \@bookreviewtrue \@softwarereviewfalse} \DeclareOption{softwarereview}{\@articlefalse% \@codesnippetfalse \@bookreviewfalse \@softwarereviewtrue} \DeclareOption{shortnames}{\@shortnamestrue} \DeclareOption{nojss}{\@nojsstrue} \ProcessOptions \LoadClass[11pt,a4paper,twoside]{article} % % \end{macrocode} % % A few packages are required and the font encoding is specified. % \begin{macrocode} %<*class> %% required packages \RequirePackage{graphicx,a4wide,color,ae,fancyvrb} \RequirePackage[T1]{fontenc} \IfFileExists{upquote.sty}{\RequirePackage{upquote}}{} % % \end{macrocode} % % In addition, \texttt{hyperref} is included later on. % The bibliography is generated using \texttt{natbib} and % the \textsc{Bib}\TeX{} style \file{jss.bst}. % \begin{macrocode} %<*class> %% bibliography \if@shortnames \usepackage[authoryear,round]{natbib} \else \usepackage[authoryear,round,longnamesfirst]{natbib} \fi \bibpunct{(}{)}{;}{a}{}{,} \bibliographystyle{jss} % % \end{macrocode} % % Paragraphs are not indented, instead \verb/\parskip/ is % increased. % \begin{macrocode} %<*class> %% paragraphs \setlength{\parskip}{0.7ex plus0.1ex minus0.1ex} \setlength{\parindent}{0em} % % \end{macrocode} % % To process the meta information we need some new commands: % for all publications, % \begin{macrocode} %<*class> %% for all publications \newcommand{\Address}[1]{\def\@Address{#1}} \newcommand{\Plaintitle}[1]{\def\@Plaintitle{#1}} \newcommand{\Shorttitle}[1]{\def\@Shorttitle{#1}} \newcommand{\Plainauthor}[1]{\def\@Plainauthor{#1}} \newcommand{\Volume}[1]{\def\@Volume{#1}} \newcommand{\Year}[1]{\def\@Year{#1}} \newcommand{\Month}[1]{\def\@Month{#1}} \newcommand{\Issue}[1]{\def\@Issue{#1}} \newcommand{\Submitdate}[1]{\def\@Submitdate{#1}} % % \end{macrocode} % for articles and code snippets, % \begin{macrocode} %<*class> %% for articles and code snippets \newcommand{\Acceptdate}[1]{\def\@Acceptdate{#1}} \newcommand{\Abstract}[1]{\def\@Abstract{#1}} \newcommand{\Keywords}[1]{\def\@Keywords{#1}} \newcommand{\Plainkeywords}[1]{\def\@Plainkeywords{#1}} % % \end{macrocode} % for book and software reviews, % \begin{macrocode} %<*class> %% for book and software reviews \newcommand{\Reviewer}[1]{\def\@Reviewer{#1}} \newcommand{\Booktitle}[1]{\def\@Booktitle{#1}} \newcommand{\Bookauthor}[1]{\def\@Bookauthor{#1}} \newcommand{\Publisher}[1]{\def\@Publisher{#1}} \newcommand{\Pubaddress}[1]{\def\@Pubaddress{#1}} \newcommand{\Pubyear}[1]{\def\@Pubyear{#1}} \newcommand{\ISBN}[1]{\def\@ISBN{#1}} \newcommand{\Pages}[1]{\def\@Pages{#1}} \newcommand{\Price}[1]{\def\@Price{#1}} \newcommand{\Plainreviewer}[1]{\def\@Plainreviewer{#1}} \newcommand{\Softwaretitle}[1]{\def\@Softwaretitle{#1}} \newcommand{\URL}[1]{\def\@URL{#1}} % % \end{macrocode} % and for internal use only. % \begin{macrocode} %<*class> %% for internal use \newcommand{\Seriesname}[1]{\def\@Seriesname{#1}} \newcommand{\Hypersubject}[1]{\def\@Hypersubject{#1}} \newcommand{\Hyperauthor}[1]{\def\@Hyperauthor{#1}} \newcommand{\Footername}[1]{\def\@Footername{#1}} \newcommand{\Firstdate}[1]{\def\@Firstdate{#1}} \newcommand{\Seconddate}[1]{\def\@Seconddate{#1}} \newcommand{\Reviewauthor}[1]{\def\@Reviewauthor{#1}} % % \end{macrocode} % % Some defaults for theses commands are specified, which % are (hopefully) a useful guidance when using the % \file{\filename.cls}. % \begin{macrocode} %<*class> %% defaults \author{Firstname Lastname\\Affiliation} \title{Title} \Abstract{---!!!---an abstract is required---!!!---} \Plainauthor{\@author} \Volume{VV} \Year{YYYY} \Month{MMMMMM} \Issue{II} \Submitdate{yyyy-mm-dd} \Acceptdate{yyyy-mm-dd} \Address{ Firstname Lastname\\ Affiliation\\ Address, Country\\ E-mail: \email{name@address}\\ URL: \url{http://link/to/webpage/} } \Reviewer{Firstname Lastname\\Affiliation} \Plainreviewer{Firstname Lastname} \Booktitle{Book Title} \Bookauthor{Book Author} \Publisher{Publisher} \Pubaddress{Publisher's Address} \Pubyear{YYY} \ISBN{x-xxxxx-xxx-x} \Pages{xv + 123} \Price{USD 69.95 (P)} \URL{http://link/to/webpage/} % % \end{macrocode} % % Conditional on the type of document several other defaults % and some meta information is stored. % \begin{macrocode} %<*class> \if@article \Seriesname{Issue} \Hypersubject{Journal of Statistical Software} \Plaintitle{\@title} \Shorttitle{\@title} \Plainkeywords{\@Keywords} \fi \if@codesnippet \Seriesname{Code Snippet} \Hypersubject{Journal of Statistical Software -- Code Snippets} \Plaintitle{\@title} \Shorttitle{\@title} \Plainkeywords{\@Keywords} \fi \if@bookreview \Seriesname{Book Review} \Hypersubject{Journal of Statistical Software -- Book Reviews} \Plaintitle{\@Booktitle} \Shorttitle{\@Booktitle} \Reviewauthor{\@Bookauthor\\ \@Publisher, \@Pubaddress, \@Pubyear.\\ ISBN~\@ISBN. \@Pages~pp. \@Price.\\ \url{\@URL}} \Plainkeywords{} \@reviewtrue \fi \if@softwarereview \Seriesname{Software Review} \Hypersubject{Journal of Statistical Software -- Software Reviews} \Plaintitle{\@Softwaretitle} \Shorttitle{\@Softwaretitle} \Booktitle{\@Softwaretitle} \Reviewauthor{\@Publisher, \@Pubaddress. \@Price.\\ \url{\@URL}} \Plainkeywords{} \@reviewtrue \fi \if@review \Hyperauthor{\@Plainreviewer} \Keywords{} \Footername{Reviewer} \Firstdate{\textit{Published:} \@Submitdate} \Seconddate{} \else \Hyperauthor{\@Plainauthor} \Keywords{---!!!---at least one keyword is required---!!!---} \Footername{Affiliation} \Firstdate{\textit{Submitted:} \@Submitdate} \Seconddate{\textit{Accepted:} \@Acceptdate} \fi % % \end{macrocode} % % For typesetting of code some basic infrastructure along % the lines of Sweave is provided. First, the Sweave commands % are provided explicitly, % \begin{macrocode} %<*class> %% Sweave(-like) \DefineVerbatimEnvironment{Sinput}{Verbatim}{fontshape=sl} \DefineVerbatimEnvironment{Soutput}{Verbatim}{} \DefineVerbatimEnvironment{Scode}{Verbatim}{fontshape=sl} \newenvironment{Schunk}{}{} % % \end{macrocode} % and analogous commands with more neutral names for general % pieces of code. % \begin{macrocode} %<*class> \DefineVerbatimEnvironment{Code}{Verbatim}{} \DefineVerbatimEnvironment{CodeInput}{Verbatim}{fontshape=sl} \DefineVerbatimEnvironment{CodeOutput}{Verbatim}{} \newenvironment{CodeChunk}{}{} \setkeys{Gin}{width=0.8\textwidth} % % \end{macrocode} % % The header and footer of JSS publications displays the logo, % the publication information and some further links. Here, % we define the footer first (because it must be included % before \texttt{hyperref} in {\TeX}live). It contains the somewhat extended % publication information (from the header), preceeded by the address of the % author/reviewer. % \begin{macrocode} %<*class> %% footer \newlength{\footerskip} \setlength{\footerskip}{2.5\baselineskip plus 2ex minus 0.5ex} \newcommand{\makefooter}{% \vspace{\footerskip} \if@nojss \begin{samepage} \textbf{\large \@Footername: \nopagebreak}\\[.3\baselineskip] \nopagebreak \@Address \nopagebreak \end{samepage} \else \begin{samepage} \textbf{\large \@Footername: \nopagebreak}\\[.3\baselineskip] \nopagebreak \@Address \nopagebreak \vfill \hrule \nopagebreak \vspace{.1\baselineskip} {\fontfamily{pzc} \fontsize{13}{15} \selectfont Journal of Statistical Software} \hfill \url{http://www.jstatsoft.org/}\\ \nopagebreak published by the American Statistical Association \hfill \url{http://www.amstat.org/}\\[.3\baselineskip] \nopagebreak {Volume~\@Volume, \@Seriesname~\@Issue} \hfill \@Firstdate\\ \nopagebreak {\@Month{} \@Year} \hfill \@Seconddate \nopagebreak \vspace{.3\baselineskip} \hrule \end{samepage} \fi } % % \end{macrocode} % % We include the footer at the end of the document. % \begin{macrocode} %<*class> \AtEndDocument{\makefooter} % % \end{macrocode} % % After defining this, we can require the \texttt{hyperref} package. % \begin{macrocode} %<*class> %% required packages \RequirePackage{hyperref} % % \end{macrocode} % and proceed to define the header. % % The header for all JSS publications has the logo \file{jsslogo.jpg} % along with the publication information. % \begin{macrocode} %<*class> %% new \maketitle \def\@myoddhead{ {\color{white} JSS}\\[-1.42cm] \hspace{-2em} \includegraphics[height=23mm,keepaspectratio]{jsslogo} \hfill \parbox[b][23mm]{118mm}{\hrule height 3pt \center{ {\fontfamily{pzc} \fontsize{28}{32} \selectfont Journal of Statistical Software} \vfill {\it \small \@Month{} \@Year, Volume~\@Volume, \@Seriesname~\@Issue.% \hfill \href{http://www.jstatsoft.org/}{http://www.jstatsoft.org/}}}\\[0.1cm] \hrule height 3pt}} % % \end{macrocode} % % This header is then used in the re-defined \verb/\maketitle/: % \begin{macrocode} %<*class> \if@review \renewcommand{\maketitle}{ \if@nojss %% \@oddhead{\@myoddhead}\\[3\baselineskip] \else \@oddhead{\@myoddhead}\\[3\baselineskip] \fi {\large \noindent Reviewer: \@Reviewer \vspace{\baselineskip} \hrule \vspace{\baselineskip} \textbf{\@Booktitle} \begin{quotation} \noindent \@Reviewauthor \end{quotation} \vspace{0.7\baselineskip} \hrule \vspace{1.3\baselineskip} } \thispagestyle{empty} \if@nojss \markboth{\centerline{\@Shorttitle}}{\centerline{\@Hyperauthor}} \else \markboth{\centerline{\@Shorttitle}}{\centerline{\@Hypersubject}} \fi \pagestyle{myheadings} } \else \def\maketitle{ \if@nojss %% \@oddhead{\@myoddhead} \par \else \@oddhead{\@myoddhead} \par \fi \begingroup \def\thefootnote{\fnsymbol{footnote}} \def\@makefnmark{\hbox to 0pt{$^{\@thefnmark}$\hss}} \long\def\@makefntext##1{\parindent 1em\noindent \hbox to1.8em{\hss $\m@th ^{\@thefnmark}$}##1} \@maketitle \@thanks \endgroup \setcounter{footnote}{0} \thispagestyle{empty} \if@nojss \markboth{\centerline{\@Shorttitle}}{\centerline{\@Hyperauthor}} \else \markboth{\centerline{\@Shorttitle}}{\centerline{\@Hypersubject}} \fi \pagestyle{myheadings} \let\maketitle\relax \let\@maketitle\relax \gdef\@thanks{}\gdef\@author{}\gdef\@title{}\let\thanks\relax } \def\@maketitle{\vbox{\hsize\textwidth \linewidth\hsize \if@nojss %% \vskip 1in \else \vskip 1in \fi {\centering {\LARGE\bf \@title\par} \vskip 0.2in plus 1fil minus 0.1in { \def\and{\unskip\enspace{\rm and}\enspace}% \def\And{\end{tabular}\hss \egroup \hskip 1in plus 2fil \hbox to 0pt\bgroup\hss \begin{tabular}[t]{c}\large\bf\rule{\z@}{24pt}\ignorespaces}% \def\AND{\end{tabular}\hss\egroup \hfil\hfil\egroup \vskip 0.1in plus 1fil minus 0.05in \hbox to \linewidth\bgroup\rule{\z@}{10pt} \hfil\hfil \hbox to 0pt\bgroup\hss \begin{tabular}[t]{c}\large\bf\rule{\z@}{24pt}\ignorespaces} \hbox to \linewidth\bgroup\rule{\z@}{10pt} \hfil\hfil \hbox to 0pt\bgroup\hss \begin{tabular}[t]{c}\large\bf\rule{\z@}{24pt}\@author \end{tabular}\hss\egroup \hfil\hfil\egroup} \vskip 0.3in minus 0.1in \hrule \begin{abstract} \@Abstract \end{abstract}} \textit{Keywords}:~\@Keywords. \vskip 0.1in minus 0.05in \hrule \vskip 0.2in minus 0.1in }} \fi % % \end{macrocode} % % The appearance of sections, subsections and subsubsections is % controlled by % \begin{macrocode} %<*class> %% sections, subsections, and subsubsections \newlength{\preXLskip} \newlength{\preLskip} \newlength{\preMskip} \newlength{\preSskip} \newlength{\postMskip} \newlength{\postSskip} \setlength{\preXLskip}{1.8\baselineskip plus 0.5ex minus 0ex} \setlength{\preLskip}{1.5\baselineskip plus 0.3ex minus 0ex} \setlength{\preMskip}{1\baselineskip plus 0.2ex minus 0ex} \setlength{\preSskip}{.8\baselineskip plus 0.2ex minus 0ex} \setlength{\postMskip}{.5\baselineskip plus 0ex minus 0.1ex} \setlength{\postSskip}{.3\baselineskip plus 0ex minus 0.1ex} \newcommand{\jsssec}[2][default]{\vskip \preXLskip% \pdfbookmark[1]{#1}{Section.\thesection.#1}% \refstepcounter{section}% \centerline{\textbf{\Large \thesection. #2}} \nopagebreak \vskip \postMskip \nopagebreak} \newcommand{\jsssecnn}[1]{\vskip \preXLskip% \centerline{\textbf{\Large #1}} \nopagebreak \vskip \postMskip \nopagebreak} \newcommand{\jsssubsec}[2][default]{\vskip \preMskip% \pdfbookmark[2]{#1}{Subsection.\thesubsection.#1}% \refstepcounter{subsection}% \textbf{\large \thesubsection. #2} \nopagebreak \vskip \postSskip \nopagebreak} \newcommand{\jsssubsecnn}[1]{\vskip \preMskip% \textbf{\large #1} \nopagebreak \vskip \postSskip \nopagebreak} \newcommand{\jsssubsubsec}[2][default]{\vskip \preSskip% \pdfbookmark[3]{#1}{Subsubsection.\thesubsubsection.#1}% \refstepcounter{subsubsection}% {\large \textit{#2}} \nopagebreak \vskip \postSskip \nopagebreak} \newcommand{\jsssubsubsecnn}[1]{\vskip \preSskip% {\textit{\large #1}} \nopagebreak \vskip \postSskip \nopagebreak} \newcommand{\jsssimplesec}[2][default]{\vskip \preLskip% %% \pdfbookmark[1]{#1}{Section.\thesection.#1}% \refstepcounter{section}% \textbf{\large #1} \nopagebreak \vskip \postSskip \nopagebreak} \newcommand{\jsssimplesecnn}[1]{\vskip \preLskip% \textbf{\large #1} \nopagebreak \vskip \postSskip \nopagebreak} \if@review \renewcommand{\section}{\secdef \jsssimplesec \jsssimplesecnn} \renewcommand{\subsection}{\secdef \jsssimplesec \jsssimplesecnn} \renewcommand{\subsubsection}{\secdef \jsssimplesec \jsssimplesecnn} \else \renewcommand{\section}{\secdef \jsssec \jsssecnn} \renewcommand{\subsection}{\secdef \jsssubsec \jsssubsecnn} \renewcommand{\subsubsection}{\secdef \jsssubsubsec \jsssubsubsecnn} \fi % % \end{macrocode} % % The hypersetup uses some modified colors % \begin{macrocode} %<*class> %% colors \definecolor{Red}{rgb}{0.5,0,0} \definecolor{Blue}{rgb}{0,0,0.5} % % \end{macrocode} % and is then defined by % \begin{macrocode} %<*class> \if@review \hypersetup{% hyperindex = {true}, colorlinks = {true}, linktocpage = {true}, plainpages = {false}, linkcolor = {Blue}, citecolor = {Blue}, urlcolor = {Red}, pdfstartview = {Fit}, pdfpagemode = {None}, pdfview = {XYZ null null null} } \else \hypersetup{% hyperindex = {true}, colorlinks = {true}, linktocpage = {true}, plainpages = {false}, linkcolor = {Blue}, citecolor = {Blue}, urlcolor = {Red}, pdfstartview = {Fit}, pdfpagemode = {UseOutlines}, pdfview = {XYZ null null null} } \fi % % \end{macrocode} % % The information for the hyper summary requires % some information which has not been processed % before the beginning of the document. Therefore, % we need a second \verb/\hypersetup/. % \begin{macrocode} %<*class> \if@nojss \AtBeginDocument{ \hypersetup{% pdfauthor = {\@Hyperauthor}, pdftitle = {\@Plaintitle}, pdfkeywords = {\@Plainkeywords} } } \else \AtBeginDocument{ \hypersetup{% pdfauthor = {\@Hyperauthor}, pdftitle = {\@Plaintitle}, pdfsubject = {\@Hypersubject}, pdfkeywords = {\@Plainkeywords} } } \fi % % \end{macrocode} % % We put the header at the beginning of the % document (for footer see above). % \begin{macrocode} %<*class> \AtBeginDocument{\maketitle} % % \end{macrocode} % % Finally, some additional commands are provided for writing about % software (code, programming languages, packages), % \begin{macrocode} %<*class> %% commands \makeatletter \newcommand\code{\bgroup\@makeother\_\@makeother\~\@makeother\$\@codex} \def\@codex#1{{\normalfont\ttfamily\hyphenchar\font=-1 #1}\egroup} \makeatother %%\let\code=\texttt \let\proglang=\textsf \newcommand{\pkg}[1]{{\fontseries{b}\selectfont #1}} % % \end{macrocode} % for specifying e-mail addresses, % \begin{macrocode} %<*class> \newcommand{\email}[1]{\href{mailto:#1}{\normalfont\texttt{#1}}} % % \end{macrocode} % digital object identifiers (DOIs), % \begin{macrocode} %<*class> \newcommand{\doi}[1]{\href{http://dx.doi.org/#1}{\normalfont\texttt{doi:#1}}} % % \end{macrocode} % and for mathematical notation. % \begin{macrocode} %<*class> \newcommand{\E}{\mathsf{E}} \newcommand{\VAR}{\mathsf{VAR}} \newcommand{\COV}{\mathsf{COV}} \newcommand{\Prob}{\mathsf{P}} % % \end{macrocode} logcondens/vignettes/results/0000755000176200001440000000000014756145527016136 5ustar liggesuserslogcondens/vignettes/results/pvals_setting=3_n1=20_n2=25_tau=1.5.txt0000644000176200001440000010235514756145527024641 0ustar liggesusers"logcon","smooth","K.S" "1",0.002,NA,0.000995587375361429 "2",0.651,NA,0.990625606021044 "3",0.535,NA,0.89860822198259 "4",0.14,NA,0.195517517300654 "5",0.159,NA,0.104610577876392 "6",0.886,NA,0.959703183178312 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logcondens/vignettes/logcondens.Rnw0000644000176200001440000023505715173434476017272 0ustar liggesusers\documentclass[article, nojss]{jss} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% declarations for jss.cls %% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %\VignetteIndexEntry{logcondens: Computations Related to Univariate Log-Concave Density Estimation (Duembgen and Rufibach, 2011, Journal of Statistical Software, 39(6), 1-28.)} %\VignetteKeywords{logcondens} %\VignetteDepends{logcondens} %\VignettePackage{logcondens} %% almost as usual \author{Lutz D\"{u}mbgen\\University of Bern \And Kaspar Rufibach\\University of Zurich} \title{{\pkg{logcondens}}: Computations Related to Univariate Log-Concave Density Estimation} %% for pretty printing and a nice hypersummary also set: \Plainauthor{Lutz D\"{u}mbgen, Kaspar Rufibach} %% comma-separated \Plaintitle{logcondens: Computations Related to Univariate Log-Concave Density Estimation} %% without formatting \Shorttitle{{\pkg{logcondens}}: Computations Related to Univariate Log-Concave Density Estimation} %% an abstract and keywords \Abstract{ Maximum likelihood estimation of a log-concave density has attracted considerable attention over the last few years. Several algorithms have been proposed to estimate such a density. Two of those algorithms, an iterative convex minorant and an active set algorithm, are implemented in the \proglang{R} package \pkg{logcondens}. While these algorithms are discussed elsewhere, we describe in this paper the use of the \pkg{logcondens} package and discuss functions and datasets related to log-concave density estimation contained in the package. In particular, we provide functions to (1) compute the maximum likelihood estimate (MLE) as well as a smoothed log-concave density estimator derived from the MLE, (2) evaluate the estimated density, distribution and quantile functions at arbitrary points, (3) compute the characterizing functions of the MLE, (4) sample from the estimated distribution, and finally (5) perform a two-sample permutation test using a modified Kolmogorov-Smirnov test statistic. In addition, \pkg{logcondens} makes two datasets available that have been used to illustrate log-concave density estimation. } \Keywords{log-concave, density estimation, Kolmogorov-Smirnov test, \proglang{R}} \Plainkeywords{log-concave, density estimation, R} %% without formatting %% at least one keyword must be supplied %% publication information %% NOTE: Typically, this can be left commented and will be filled out by the technical editor \Volume{39} \Issue{6} \Month{March} \Year{2011} \Submitdate{2009-11-12} \Acceptdate{2010-10-06} %% The address of (at least) one author should be given %% in the following format: \Address{ Lutz D\"umbgen \\ Institute of Mathematical Statistics and Actuarial Science \\ University of Bern \\ 3012 Bern, Switzerland \\ Telephone: +41/0/31631-8802 \\ Fax: +41/0/31631-3805 \\ E-mail: \email{duembgen@stat.unibe.ch} \\ URL: \url{https://www.imsv.unibe.ch/ueber_uns/personen/prof_dr_duembgen_lutz/index_ger.html} \bigskip Kaspar Rufibach\\ Biostatistics Unit\\ Institute for Social and Preventive Medicine\\ University of Zurich\\ 8001 Zurich, Switzerland\\ Telephone: +41/0/44634-4643 \\ Fax: +41/0/44634-4386 \\ E-mail: \email{kaspar.rufibach@ifspm.uzh.ch}\\ URL: \url{http://www.kasparrufibach.ch} } %% It is also possible to add a telephone and fax number %% before the e-mail in the following format: %% Telephone: +43/1/31336-5053 %% Fax: +43/1/31336-734 %% for those who use Sweave please include the following line (with % symbols): %% need no \usepackage{Sweave.sty} %% end of declarations %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \usepackage{amsmath} \usepackage{amssymb} \usepackage{amsfonts} \usepackage{amsthm} \usepackage{latexsym} \usepackage{thumbpdf} \newtheorem{theorem}{Theorem}[section] %\newtheorem{lemma}[theorem]{Lemma} %\newtheorem{corollary}[theorem]{Corollary} %\newtheorem{proposition}[theorem]{Proposition} %\newtheorem{example}[theorem]{Example} \newenvironment{Theorem}{\begin{theorem}\sl}{\end{theorem}} %\newenvironment{Lemma}{\begin{lemma}\sl}{\end{lemma}} %\newenvironment{Corollary}{\begin{corollary}\sl}{\end{corollary}} %\newenvironment{Proposition}{\begin{proposition}\sl}{\end{proposition}} %\newenvironment{Example}{\begin{example}\rm}{\end{example}} \def\bea{\begin{eqnarray*}} \def\eea{\end{eqnarray*}} \def\be{\begin{equation}} \def\ee{\end{equation}} \def\bean{\begin{eqnarray}} \def\eean{\end{eqnarray}} \def\barr{\begin{array}} \def\earr{\end{array}} \def\bdes{\begin{description}} \def\edes{\end{description}} \def\bi{\begin{itemize}} \def\ei{\end{itemize}} \def\hat{\widehat} \def\R{\mathbb{R}} \def\est{\widehat{f}} \def\lest{\widehat{\varphi}} \def\dest{\widehat{F}} \def\SS{\mathcal{S}} \newcommand{\ED}{\mathbb{F}} \def\d{\, \mathrm{d}} \def\Del{\Delta} \def\Bl{\Bigl} \def\Br{\Bigr} \newcommand{\ve}[1]{\mathbf{#1}} \def\Var{\mathop{\rm Var}\nolimits} \def\argmax{\mathop{\rm arg\,max}} \def\PP{{\cal P}} \def\II{{\cal I}} \def\KK{{\cal K}} \def\RR{{\cal R}} \newcommand{\SupN}[1]{\Vert #1 \Vert_\infty} \SweaveOpts{keep.source = TRUE} \SweaveOpts{prefix.string = plots/} <