Title

Beta Transformation. Beta Type Self-Decomposability And Related Characterizations

Document Type

Article

Publication Date

1-1-2000

Publication Title

Brazilian Journal of Probability and Statistics

Abstract

A new specific transformation of non-negative integer valued random variables is introduced, and its properties are studied. An extended version of the discrete self-decomposability is defined and related characterizations of the geometric and negative binomial distributions are obtained. Applications of the proposed parameterization to the search of a model which better fits frequency data are illustrated with an example.

Volume

14

Issue

2

First Page

123

Last Page

140

ISSN

0103-0752

Rights

© 2000 Associação Brasileira de Estatística

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