Title of article :
New Results on Stochastic Comparison of Series and Parallel Systems Comprising Heterogeneous Generalized Modified Weibull Components
Author/Authors :
bashkar, esmaeil velayat university - department of statistics, Iranshahr, Iran
Abstract :
In this work, we study various stochastic orderings of the smallest and largest order statistics arising from independent heterogeneous generalized modified Weibull (GMW) random variables. We also conduct stochastic comparison on the extreme order statistics from GMW samples with Archimedean copulas. The results established in this paper strengthen and generalize those known in the Balakrishnan et al. (2018).
Keywords :
Majorization , order statistics , series and parallel systems , stochastic orders , generalized modified Weibull distribution
Journal title :
Journal of Statistical Research of Iran
Journal title :
Journal of Statistical Research of Iran