Generalized Marshall-Olkin Distributions and Copulas, and Related Bivariate Aging Properties

摘要：

Introduction Ever since Marshall and Olkin (1967) firstly introduced the bivariate exponential survival function P(X1>x1;X2>x2) = exp-λ1,x1-λ2x2-λ3mcixxj,x2, x,,x2>0, λ1;>0, i = 1, 2, 3, (1) the effort to pursue more interesting results in this line of research was never ceased. Let Zl, 22 and Z3 be independent exponential with parameters Xj, X2 andAj, then (X1X2) = (minZ1,Z3, minZ2,Z3) (2) This represents the lifetimes of two components operating in a random environment and subject to fatal shock governed by a poisson process. Actually, those who focused on the lack-ofmemory property devote themselves to gaining any further insight in the mechanism.

作者: XIAOHU LI FRANCO PELLEREY

作者单位: Xiamen University China Politecnico di Torino Italy

会议类型: 国际会议

会议名称: The 7th Inyernational Conference on Mathematical Methods in Reliability:Theory,Methods,Applications(第七届国际可靠性数学、理论、方法与应用会议 MMR2011)

会议地点: 北京

会议语种:英文

页码: 996-997

在线出版日期: 2011-06-20（万方平台首次上网日期，不代表论文的发表时间）