ON ESTIMATION OF STRESS-STRENGTH PARAMETER FOR DISCRETE WEIBULL DISTRIBUTION

Abstract

In this paper, statistical inference for the reliability of stress- strength models when stress and strength are independent discrete Weibull random variables is discussed. The so called proportion method estimator of model is studied and is compared with maximum likelihood (ML) estimator. Also, based on simulation, the root mean square error (RMSE) and the relative bias (RB) of the estimator of R = P(X < Y ) and its variance are computed and compared. Furthermore, we have provied a condence interval for R as well as its coverage rate.