Shrinkage Estimators of the Reliability Characteristics of a Family of Lifetime Distributions

A family of distributions is considered, which covers many lifetime distributions as specific cases. Two measures of reliability are considered, R(t) = P(X>t) and P = P(X>Y). Shrinkage estimators are considered for the powers of parameter, R(t) and 'P' under type I and type II censorings. Simulation study is conducted to judge the performance of estimators