PARAMETER ESTIMATION IN WEIBULL DISTRIBUTION ON PROGRESSIVELY TYPE-II CENSORED SAMPLE WITH BETA-BINOMIAL REMOVALS

In this article, the estimation of parameters based on progressively type-II censored sample with random removals from the Weibull distribution is studied. The number of units removed at each failure time is assumed to follow a Beta-binomial distribution. Based on this type of censored sample, the maximum likelihood (ML) and approximate maximum likelihood (AML) estimators for the parameters of the Weibull distribution are derived. A Monte Carlo simulation study is also conducted to compare the performance of ML and AML estimators under progressively type-II censoring with the different random schemes