Unbiased estimation in sampling from two one- truncation parameter families when both samples are type ii censored

Abstract

We consider the problem of uniform minimum variance unbiased (UMVU) estimation of a U-estimable function based on two independent random samples which are Type II censored and come from two one-truncation parameter families. In particular, we obtain the UMVU estimator of the probability that Y > X, and confidence interval for

Keywords:

• Type II censoring
• minimum variance unbiased estimation
• one- truncation parameter density
• pivot
• confidence interval