Stochastic Comparison of Parallel Systems with Log-Lindley Distributed Components under Random Shocks

Abstract

Recently, Chowdhury and Kundu [6] compared two parallel systems of heterogeneous independent log-Lindley distributed components using the concept of vector majorization and related orders. Under the same set-up, this paper derives some results related to usual stochastic ordering between two parallel systems when each component receives a random shock.