On the characterization of a bivariate geometric distribution

Sunil K. Dhar, Srinivasan Balaji

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)759-765
Number of pages7
JournalCommunications in Statistics - Theory and Methods
Issue number5
StatePublished - 2006

All Science Journal Classification (ASJC) codes

  • Statistics and Probability


  • Bivariate geometric distribution
  • Characterization
  • Total failure rate


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