Comparing the Stress–Strength Reliability of Multicomponent Parallel Systems with Heterogeneous Exponentiated Half Logistic-F Components

Abstract

In this paper, the stress–strength reliability of two multicomponent parallel systems with heterogeneous exponentiated half logistic-[Formula: see text] components under the same and the different baseline distribution functions are compared. The comparisons are carried out concerning the usual stochastic order and reversed hazard rate order with majorized shape parameters of the distributions. Also, the maximum likelihood estimator (MLE) and uniformly minimum variance unbiased estimator (UMVUE) of the stress–strength reliability of the aforementioned multicomponent parallel system are obtained and then compared via Monte Carlo simulations.