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A bivariate compound class of geometric–Poisson and lifetime distributions |
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PP: 21-25 |
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Author(s) |
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Hamid Bidram,
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Abstract |
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| Recently, Alkarni and Oraby (2012) obtained general forms for some properties of the compound class of Poisson and
lifetime (PL) distributions. In this paper, we obtain some general forms for joint density, cumulative distribution, and survival
functions of the bivariate case of PL class. Its conditional distributions are also studied. In addition, the compound class of geometric
and lifetime distributions as well as its mixed bivariate case are discussed. For this class some conditional probabilities useful for
reliability, biological survey, and engineering are also studied. Our class contains several new mixed bivariate distributions in special
cases. |
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