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 logconcave, see Rufibach (2007) and Duembgen and Rufibach (2009). The main function of the package is 'logConDens' that allows computation of the logconcave 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 twosample permutation test based on logconcave densities, (6) the ROC curve based on logconcave 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 logconcave density estimation are made available.
Package details 


Author  Kaspar Rufibach <[email protected]> and Lutz Duembgen <[email protected]> 
Maintainer  Kaspar Rufibach <[email protected]> 
License  GPL (>= 2) 
Version  2.1.5 
URL  http://www.kasparrufibach.ch http://www.imsv.unibe.ch/about_us/staff/prof_dr_duembgen_lutz/index_eng.html 
Package repository  View on CRAN 
Installation 
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