PARAMETER ESTIMATION IN WEIBULL DISTRIBUTION ON PROGRESSIVELY TYPE-II CENSORED SAMPLE WITH BETA-BINOMIAL REMOVALS
Ilhan Usta, Hanefi Gezer
Pages: 505-515 Published: 28 Aug 2016
Views: 1,050 Downloads: 805
Abstract: 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.
Keywords: weibull distribution, maximum likelihood estimator, approximate maximum likelihood estimator, progressively censoring type-ii with random removals, be