Method for Generating Distributions and Classes of Probability Distributions: The Univariate Case
Statistics Theory
2021-08-16 v1 Statistics Theory
Abstract
In this work, we present a method to generate probability distributions and classes of probability distributions, which broadens a process of probability distribution construction. In this method, distribution classes are built from pre-defined monotonic functions and from known distributions. With the use of this method, we can obtain different classes of probability distributions described in literature. Beside these results, we could obtain results on the support and nature of the generated distributions.
Cite
@article{arxiv.1504.01062,
title = {Method for Generating Distributions and Classes of Probability Distributions: The Univariate Case},
author = {Cícero Carlos Ramos de Brito and Leandro Chaves Rêgo and Wilson Rosa de Oliveira},
journal= {arXiv preprint arXiv:1504.01062},
year = {2021}
}
Comments
50 pages, submitted for journal publication