Parameter Estimation Based on the Frechet Progressive Type Ⅱ Censored Data with Binomial Removals

摘要

This paper considers the estimation problem for the Frechet distribution under progressive Type Ⅱ censoring with random removals, where the number of units removed at each failure time has a binomial distribution. We use the maximum likelihood method to obtain the estimators of parameters and derive the sampling distributions of the estimators, and we also construct the confidence intervals for the parameters and percentile of the failure time distribution.