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Communications in Statistics - Theory and Methods Volume 35, 2006 - Issue 5
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DISTRIBUTION THEORY

On the Characterization of a Bivariate Geometric Distribution

Sunil K. Dhar Department of Mathematical Sciences and CAMS, New Jersey Institute of Technology, Newark, New Jersey, USACorrespondence[email protected]
&
Srinivasan Balaji Department of Statistics, George Washington University, Washington, D.C., USA
Pages 759-765 | Received 02 Oct 2003, Accepted 21 Oct 2005, Published online: 15 Feb 2007
 
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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.

Mathematics Subject Classification:

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