ON ESTIMATION OF STRESS STRENGTH MODEL FOR GENERALIZED INVERTED EXPONENTIAL DISTRIBUTION

Abstract

In this paper, the estimation of R=Pr(Y < Y), when X and Y are two generalized inverted exponential distributions with different parameters is considered. The maximum likelihood estimator (MLE) of R and its asymptotic distribution are obtained. Exact and asymptotic confidence intervals of R are constructed using both exact and asymptotic distributions. Assuming that the common scale parameter is known, MLE, Bayes estimators and confidence intervals of R are investigated. Bayes estimators are based on informative and noninformative priors of the unknown parameters. Monte Carlo simulations are performed to compare and to validate the different proposed estimators.