Shahid Chamran University of AhvazJournal of Advanced Mathematical Modeling2251-808810220201221Stochastic Comparisons of Series and Parallel Systems with Independent and Heterogeneous Log-Logistic ComponentsStochastic Comparisons of Series and Parallel Systems with Independent and Heterogeneous Log-Logistic Components4184381564210.22055/jamm.2020.31100.1760FAFaribaGhanbariDepartment of Statistics, , Razi University, Kermanshah, Iran.GhobadBarmalzanDepartment of Statistics, Zabol University. IranSEYEDREZAHASHEMIDepartment of Statistics, Razi University, Kermanshah, Iran.Journal Article20190916This paper examines the problem of stochastic comparisons of series and parallel systems with independent and heterogeneous Log-logistic components. Using concepts of majorizatin, weak supermajorization and p-larger order, we establish usual stocahastic order, hazard rate and reversed hazard rate order between these systems. We also discuss the stochastic comparisons of two vector of order statistics arising from two independent and hetrogeneous Log-logestic samples.This paper examines the problem of stochastic comparisons of series and parallel systems with independent and heterogeneous Log-logistic components. Using concepts of majorizatin, weak supermajorization and p-larger order, we establish usual stocahastic order, hazard rate and reversed hazard rate order between these systems. We also discuss the stochastic comparisons of two vector of order statistics arising from two independent and hetrogeneous Log-logestic samples.https://jamm.scu.ac.ir/article_15642_fe09d33b7e9280b16493e41ed66c2672.pdf