%0 Journal Article
%T Stochastic Comparisons of Series and Parallel Systems arising from Lomax Components with Archimedean Copula
%J Journal of Advanced Mathematical Modeling
%I Shahid Chamran University of Ahvaz
%Z 2251-8088
%A Barmalzan, Ghobad
%A Ayat, Masih
%A Akrami, Abbas
%D 2020
%\ 05/21/2020
%V 10
%N 1
%P 172-195
%! Stochastic Comparisons of Series and Parallel Systems arising from Lomax Components with Archimedean Copula
%K Archimedean copula
%K Stochastic orders
%K Lomax distribution
%K Series systems
%K Parallel systems
%K Majorization order
%R 10.22055/jamm.2020.28651.1690
%X 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 dependentcomponents having multiple-outlier lomax model. We also prove that, without any restriction on the parameters, the lifetime of a parallel or series systemswith dependent heterogeneous components is smaller than that with dependenthomogeneous components in the sense of the convex transform order.
%U https://jamm.scu.ac.ir/article_15285_a342f574834d9a2cb5e979a1ab0ed813.pdf