R package fmlogcondens: Fast Multivariate Log-Concave Density Estimation. A fast solver for the maximum likelihood estimator (MLE) of a multivariate log-concave probability function. Given a sample X, it estimates a non-parametric density function whose logarithm is a concave function. Many well-known parametric densities belong to that class, among them the normal density, the uniform density, the exponential distribution and many more. This package provides functions for the estimation of a log-concave density and a mixture of log-concave densities in multiple dimensions. While being similar to the package LogConcDEAD, fmlogcondens provides much fast run times for large samples (>= 250 points). As a reference see Fabian Rathke, Christoph Schnörr (2015), <doi:10.1515/auom-2015-0053>

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  1. Rathke, Fabian; Schnörr, Christoph: Fast multivariate log-concave density estimation (2019)