Description: Fits Gaussian Mixtures by applying evolution. As fitness function a mixture of the chi square test for distributions and a novel measure for approximating the common area under curves between multiple Gaussians is used. The package presents an alternative to the commonly used Likelihood Maximization as is used in Expectation Maximization. The algorithm and applications of this package are published under: Lerch, F., Ultsch, A., Lotsch, J. (2020) <doi:10.1038/s41598-020-57432-w>. The evolution is based on the 'GA' package: Scrucca, L. (2013) <doi:10.18637/jss.v053.i04> while the Gaussian Mixture Logic stems from 'AdaptGauss': Ultsch, A, et al. (2015) <doi:10.3390/ijms161025897>.
Imports: ggplot2, GA, AdaptGauss, graphics, stats, utils, pracma
Packaged: 2020-02-12 12:05:11 UTC; florianlerch

Title: Powerful Goodness-of-Fit Tests Based on the Likelihood Ratio
Author: Ning Cui [aut, cre], Maoyuan Zhou [ctb]
Description: Provides new types of omnibus tests which are generally much more powerful than traditional tests (including the Kolmogorov-Smirnov, Cramer-von Mises and Anderson-Darling tests),see Zhang (2002) <doi:10.1111/1467-9868.00337>.

Description: This package contains utilities which are of use in the
packages I have developed for dealing with distributions.
Currently these packages are GeneralizedHyperbolic,
VarianceGamma, and SkewHyperbolic. Additional packages are
under development. Each of these packages requires
DistributionUtils. Functionality includes sample skewness and
kurtosis, log-histogram, moments by integration, changing the
pint about which a moment is calculated, functions for testing
distributions using inversion tests and the Massart inequality.

kurtosis, log-histogram, tail plots, moments by integration,
changing the point about which a moment is calculated,
functions for testing distributions using inversion tests and
the Massart inequality. Also includes an implementation of the

packages I have developed for dealing with
distributions. Currently these packages are
SkewHyperbolic and NormalLaplace. Each of these packages requires
DistributionUtils. Functionality includes sample skewness
and kurtosis, log-histogram, tail plots, moments by
integration, changing the point about which a moment is
calculated, functions for testing distributions using
inversion tests and the Massart inequality. Also includes
an implementation of the incomplete Bessel K function.