ESTIMATION OF THE RELIABILITY FUNCTION FOR A FAMILY OF LIFETIME DISTRIBUTIONS UNDER TYPE I AND TYPE II CENSORINGS
A family of lifetime distributions is proposed. The problems of estimating the reliability function R(t)=P(X>t) and P=P(X>Y) are considered under type I and II censorings. Uniformly minimum variance unbiased and maximum likelihood estimators are derived. A comparative study of the performance of the two methods of estimation is done. Simulation study is performed.