On Estimating Reliability of a Multicomponent Stress–Strength Model for Kumaraswamy Inverse Weibull Distribution

Abstract

In this paper, we have discussed the reliability estimation for a multicomponent stress-strength (MCSS) model when stress and strength follow the Kumaraswamy inverse Weibull distribution, given by Shahbaz et al. (2012). We have obtained the maximum likelihood estimate of the reliability alongside the asymptotic distribution of the parameters involved. Also, the asymptotic confidence intervals have been obtained. An extensive simulation study has been conducted to assess the performance of the estimates. A real data application has also been given. It is found that the reliability increases with an increase in one of the shape parameters of stress distribution.