On the characterization of a bivariate geometric distribution

Document Type

Article

Publication Date

6-2-2006

Abstract

In this article it is shown that a bivariate random variable has a constant failure rate, and mixture geometric marginals, if and only if, it has the loss of memory property and the discrete Freund distribution. This characterization is achieved by extending a key lemma in this area. The mixture geometric can be collapsed to geometric marginals, thus validating the results.

Identifier

33646906004 (Scopus)

Publication Title

Communications in Statistics Theory and Methods

External Full Text Location

https://doi.org/10.1080/03610920500501486

e-ISSN

1532415X

ISSN

03610926

First Page

759

Last Page

765

Issue

5

Volume

35

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