logcondens: Estimate a Log-Concave Probability Density from Iid Observations

Given independent and identically distributed observations X(1), ..., X(n), compute the maximum likelihood estimator (MLE) of a density as well as a smoothed version of it under the assumption that the density is log-concave, see Rufibach (2007) and Duembgen and Rufibach (2009). The main function of the package is 'logConDens' that allows computation of the log-concave MLE and its smoothed version. In addition, we provide functions to compute (1) the value of the density and distribution function estimates (MLE and smoothed) at a given point (2) the characterizing functions of the estimator, (3) to sample from the estimated distribution, (5) to compute a two-sample permutation test based on log-concave densities, (6) the ROC curve based on log-concave estimates within cases and controls, including confidence intervals for given values of false positive fractions (7) computation of a confidence interval for the value of the true density at a fixed point. Finally, three datasets that have been used to illustrate log-concave density estimation are made available.

Version:	2.1.8
Depends:	R (≥ 2.10)
Imports:	ks, graphics, stats
Published:	2023-08-22
DOI:	10.32614/CRAN.package.logcondens
Author:	Kaspar Rufibach and Lutz Duembgen
Maintainer:	Kaspar Rufibach <kaspar.rufibach at gmail.com>
License:	GPL-2 | GPL-3 [expanded from: GPL (≥ 2)]
URL:	http://www.kasparrufibach.ch , https://www.imsv.unibe.ch/about_us/staff/prof_dr_duembgen_lutz/index_eng.html
NeedsCompilation:	no
Citation:	logcondens citation info
Materials:	NEWS
CRAN checks:	logcondens results

Documentation:

Reference manual:	logcondens.html , logcondens.pdf
Vignettes:	logcondens: Computations Related to Univariate Log-Concave Density Estimation (Duembgen and Rufibach, 2011, Journal of Statistical Software, 39(6), 1-28.) (source, R code)

Downloads:

Package source:	logcondens_2.1.8.tar.gz
Windows binaries:	r-devel: logcondens_2.1.8.zip, r-release: logcondens_2.1.8.zip, r-oldrel: logcondens_2.1.8.zip
macOS binaries:	r-release (arm64): logcondens_2.1.8.tgz, r-oldrel (arm64): logcondens_2.1.8.tgz, r-release (x86_64): logcondens_2.1.8.tgz, r-oldrel (x86_64): logcondens_2.1.8.tgz
Old sources:	logcondens archive

Reverse dependencies:

Reverse depends:	smoothtail
Reverse suggests:	logconcens, pROC
Reverse enhances:	LogConcDEAD

Linking:

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