A new class of bivariate lifetime distributions |
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| Authors: | Serkan Eryilmaz |
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| Institution: | Department of Industrial Engineering, Atilim University, Incek, Ankara, Turkey |
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| Abstract: | This paper introduces a new class of bivariate lifetime distributions. Let {Xi}i ? 1 and {Yi}i ? 1 be two independent sequences of independent and identically distributed positive valued random variables. Define T1 = min?(X1, …, XM) and T2 = min?(Y1, …, YN), where (M, N) has a discrete bivariate phase-type distribution, independent of {Xi}i ? 1 and {Yi}i ? 1. The joint survival function of (T1, T2) is studied. |
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| Keywords: | Bivariate geometric distribution bivariate phase-type distributions survival function |
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