A new class of bivariate lifetime distributions
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Date
2017
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Taylor & Francis inc
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Abstract
This paper introduces a new class of bivariate lifetime distributions. Let {X-i}(i 1) and {Y-i}(i 1) be two independent sequences of independent and identically distributed positive valued random variables. Define T-1 = min(X-1, ..., X-M) and T-2 = min(Y-1, ..., Y-N), where (M, N) has a discrete bivariate phase-type distribution, independent of {X-i}(i 1) and {Y-i}(i 1). The joint survival function of (T-1, T-2) is studied.
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Eryilmaz, Serkan/0000-0002-2108-1781
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Keywords
Bivariate geometric distribution, bivariate phase-type distributions, survival function
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3
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Q4
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Volume
46
Issue
24
Start Page
12324
End Page
12335