Estimation procedures for reliability functions of Kumaraswamy-G Distributions based on Type II Censoring and the sampling scheme of Bartholomew

Abstract In this paper, we consider Kumaraswamy-G distributions and derive a Uniformly Minimum Variance Unbiased Estimator (UMVUE) Maximum Likelihood (MLE) of the two measures reliability, namely R ( t ) = P X > Y under Type II censoring scheme sampling Bartholomew (1963). We also develop interval estimates reliability measures. A comparative study different methods point estimation has been conducted on basis simulation studies. An analysis real data set presented for illustration purposes.