Stochastic Comparisons of Parallel and Series Systems with Type II Half Logistic-Resilience Scale Components

Abstract

This paper deals with stochastic comparisons of two parallel (series) systems with Type II half logistic-resilience scale (TIIHL-RS) distribution components with different baseline distribution functions. Under the conditions of interdependency and independency, the research shows that the system performance is better (worse) with the stronger component heterogeneity in the parallel (series) system under the usual stochastic order and the (reversed) hazard rate order.

Stochastic Order for a Multivariate Uniform Distributions Family

“…[17] proposed a new measure and showed that this measure proposed is equivalent to the generalized cumulative residual entropy of the cumulative weighted random variable. Wang et al [18] showed that the system performance is better (worse) with the stronger component heterogeneity in the parallel (series) system under the usual stochastic order and the (reversed) hazard rate order under the conditions of interdependency and independency. Also, Di Crescenzo et al [19] gave results for stochastic comparisons of random lifetimes in a replacement model.…”