Estimation R=Pr(Y>X) for a Family of Lifetime Distributions by Transformation Method

Abstract

For a Family of lifetime distributions proposed by Chaturvedi and Singh (2008) [6]. The problem of estimating R(t) = P(X > t), which is dened as the probability that a system survives until time t and R = P(Y > X), which represents the stress-strength model are revisited. In order to obtain the maximum likelihood estimators (MLE'S), uniformly minimum variance unbiased estimators (UMVUS'S), interval estimators and the Bayes estimators for the considered model. The technique of transformation method is used.