A New Application of Beta Gompertz Distribution in Reliability

摘要

In this paper, we considered the problem of the estimation R = P(Y < X) that was defined as a life of a component, and which has strength X and is subjected to stress Y. We derive R = P(Y < X) whenX and Y are independent beta Gompertz random variables. The reliability is estimated using two estimation methods, they were the maximum likelihood and Bayes estimator. A simulation study was used to compare the two different estimators. Real data was used as a practical application of the proposed procedure.