logConCIfunctions

ftilde

c2hat

rLCD

Functions that are used by <code><a href="/link/logConCI?package=logcondens&version=2.1.1" rd-options="" data-mini-rdoc="logcondens::logConCI">logConCI</a></code> and are not intended to be called by the user.

htest

nonparametric

Given independent and identically distributed observations X(1), ..., X(n), this package allows to 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.

logConCIfunctions: Functions that are used by logConCI

Description

Arguments

References