Method for generating distributions and classes of probability distributions: the univariate case

Year 2019, Volume: 48 Issue: 3, 897 - 930, 15.06.2019

Cicero Ramos De Brito Leandro Chaves Rego Wilson Rosa De Oliveira Frank Gomes-silva

Abstract

In this work, we present a method to generate probability distributions and classes of probability distributions, which broadens the process of probability distribution construction. In this method, distribution classes are built from pre-defined monotonic functions and from known distributions. With its use, we can obtain different classes of probability distributions described in literature. Beside these results, we obtain results on the support and nature of the generated distributions.

Keywords

Probabilistic distributions generating method , Distribution classes generating functions , probabilistic distributions classes , probabilistic distribution support

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