Eryilmaz, SerkanEryılmaz, SerkanIndustrial Engineering2024-07-052024-07-05201730361-09261532-415X10.1080/03610926.2017.12950782-s2.0-85029428898https://doi.org/10.1080/03610926.2017.1295078https://hdl.handle.net/20.500.14411/1621Eryilmaz, Serkan/0000-0002-2108-1781This 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.eninfo:eu-repo/semantics/closedAccessBivariate geometric distributionbivariate phase-type distributionssurvival functionArticleQ446241232412335WOS:000415803800025