Abstract

The Power Muth (PM) Distribution, was first introduced by J.E. Muth (1977)[23] with great applicability in reliability theory. In this paper, we studied parameter estimation, reliability estimation, stress strength reliability and multi-component stress strength reliability estimation based on two methods of estimation. the objective of this paper is to know the reliability behavior. For the estimation of parameters, we are inclined towards the maximum likelihood and maximum product spacing method of estimation. Based on their mean square error we compared these two. In the multi-component reliability model, the suitable trend is observed based on the number of components’ strengths exceeding the stresses applied to them. The effect of shape and scale parameters of PM distribution on various reliability models is observed. All the above statistical performances are carried out via the Monte Carlo simulation process. Real data applicability of the distribution is applied to the stress rupture life of Kevlar pressure vessels data on different used reliability models