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

Keywords

Bivariate geometric distribution, bivariate phase-type distributions, survival function

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3

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Volume

46

Issue

24

Start Page

12324

End Page

12335

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