Reliability of a coherent multicomponent system with strength falling between two stresses following Chen distribution

Abstract

This research presented reliability formula for multicomponent strengths falling between two stresses of a coherent system , based on Chen distribution with unknown parameters  and known common parameter  for the two stress random variables and component strengths , respectively. Three methods were discussed for estimating Chen distribution parameters that used to estimate the reliability function using maximum likelihood, least squares, and weighted least squares estimation methods. These estimates are compared via a simulation study using mean square error criteria to large, medium, and small samples. The comparison’s most significant results are that the estimator’s performance for maximum likelihood is better in most of these experiments that have been studied.