Stochastic Comparisons of Series and Parallel Systems arising from Lomax Components with ‎Archimedean Copula

Document Type : Original Paper


1 Department of Statistics, University of Zabol, Zabol, Iran

2 Department of Mathematics, University of Zabol, Zabol, Iran


‎This paper studies the usual stochastic‎, ‎star ‎and ‎‎convex transform orders of both series and parallel systems comprised of heterogeneous‎ (and dependent) components‎. ‎Sufficient conditions are established for the star ordering between the lifetimes of series and parallel systems consisting of dependent‎
‎components having multiple-outlier lomax model‎.
‎We also prove that‎, ‎without any restriction on the parameters‎, ‎the lifetime of a parallel or series systems‎
‎with dependent heterogeneous components is smaller than that with dependent‎
‎homogeneous components in the sense of the convex transform order‎.‎


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