Shahid Chamran University of AhvazJournal of Advanced Mathematical Modeling2251-808810120200521Stochastic Comparisons of Series and Parallel Systems arising from Lomax Components with Archimedean CopulaStochastic Comparisons of Series and Parallel Systems arising from Lomax Components with Archimedean Copula1721951528510.22055/jamm.2020.28651.1690FAGhobadBarmalzanDepartment of Statistics, University of Zabol, Zabol, IranMasihAyatDepartment of Mathematics, University of Zabol, Zabol, IranAbbasAkramiDepartment of Mathematics, University of Zabol, Zabol, IranJournal Article20190218This 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<br />components having multiple-outlier lomax model. <br />We also prove that, without any restriction on the parameters, the lifetime of a parallel or series systems<br />with dependent heterogeneous components is smaller than that with dependent<br />homogeneous components in the sense of the convex transform order.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<br />components having multiple-outlier lomax model. <br />We also prove that, without any restriction on the parameters, the lifetime of a parallel or series systems<br />with dependent heterogeneous components is smaller than that with dependent<br />homogeneous components in the sense of the convex transform order.https://jamm.scu.ac.ir/article_15285_a342f574834d9a2cb5e979a1ab0ed813.pdf