ESTIMATION OF SYSTEM RELIABILITY IN MULTI-COMPONENT STRESS-STRENGTH MODEL FOR INVERSE CHEN DISTRIBUTION

Stress-strength reliability for a multi-component system consisting of k identical components is considered in the paper. The k components of the system with random strengths (X-1, X-2, .... , X-k) are subjected to one of the r random stresses (Xk+1, Xk+2, ... , Xk+r). Estimation of system reliability is based on maximum likelihood estimates and Bayes estimators in k component system are obtained when the system is either parallel or series with the assumption that strengths and stresses follow inverse Chen distribution. Simulation study is conducted to compare MLE and Bayes estimator through the mean squared errors of the estimators. Real life example is given for illustrative purpose.