Bayesian estimation procedures for a family of lifetime distributions under squared-error and entropy losses

摘要

Bayesian estimation procedures are considered for estimating the reliability function and P_r{X > Y} for a family of lifetime distributions under type Ⅱ censoring. Considerations are given to both squared-error and entropy losses. A new technique of obtaining Bayes estimators of these parametric functions is introduced in which major role is played by the estimators of powers of the parameter. Numerical findings are presented.