Calculates expected values, variance, different moments (kth
moment, truncated mean), stop-loss, mean excess loss, Value-at-Risk (VaR)
and Tail Value-at-Risk (TVaR) as well as some density and cumulative
(survival) functions of continuous, discrete and compound distributions.
This package also includes a visual 'Shiny' component to enable students
to visualize distributions and understand the impact of their parameters.
This package is intended to expand the 'stats' package so as
to enable students to develop an intuition for probability.
statmod, stats, shiny, dplyr, ggplot2, plotly, tippy,
shinyWidgets, shinydashboardPlus, shinydashboard, rlang

statmod, stats, shiny, dplyr, ggplot2, plotly, tippy,
shinyWidgets, shinydashboardPlus, shinydashboard, rlang,
shiny.i18n
learnr, knitr, rmarkdown, spelling, testthat

Benedikt Geier [aut], Borui Niklas Zhu [cre, aut], Moritz Kern [aut], Manuel J. Hentschel [aut], Kiril Dik [aut], Moritz Lauff [aut], Tim Glockner [aut], Adrian Heppeler [aut], Nadine Tampe [aut], Leonardo Vela [aut], Till Freihaut [aut], Niclas Lietzow [aut], Helene Peter [aut], Martin Schlather [aut, cre], Yiqi Li [ctb]
Given an univariate dataset, returns the best fitting parameter families, as defined in Shao (2003) <doi:10.1007/B97553>, including their parameter estimates via maximum likelihood.
utils, stats, stringr, datasets, graphics, grDevices, methods,
parallel, doParallel, foreach

Florian Lerch, Jorn Lotsch, Alfred Ultsch
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 maximisation as is used in Expectation maximisation. The evolution is based on the 'GA' package: Luca Scrucca (2013) <doi:10.18637/jss.v053.i04> while the Gaussian Mixture Logic stems from 'AdaptGauss': Alfred Ultsch, Michael Thrun, Onno Hansen-Goos, Jorn Lotsch (2015) <doi:10.3390/ijms161025897>.
ggplot2, GA, AdaptGauss, graphics, stats, utils