On the Characterization of a Bivariate Geometric Distribution |
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| Authors: | Sunil K Dhar Srinivasan Balaji |
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| Institution: | 1. Department of Mathematical Sciences and CAMS , New Jersey Institute of Technology , Newark, New Jersey, USA dhar@njit.edu;3. Department of Statistics , George Washington University , Washington, D.C., USA |
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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. |
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| Keywords: | Bivariate geometric distribution Characterization Total failure rate |
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