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

TL;DR

This paper investigates the stochastic comparison of parallel systems with log-Lindley distributed components under random shocks, extending previous work by incorporating the effects of shocks on system reliability.

Contribution

It introduces new stochastic ordering results for parallel systems with components subjected to random shocks, enhancing understanding of their reliability behavior.

Findings

Derived stochastic orderings between systems with shocked components

Extended existing comparisons to include random shocks effects

Provided theoretical insights into system reliability under 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.