BAYESIAN ESTIMATION FOR THE LINDLEY DISTRIBUTION UNDER PROGRESSIVE TYPE-II CENSORING WITH BINOMIAL REMOVALS

摘要

In this paper, we consider the estimation procedures of parameters, survival function, probability density function and hazard function of Lindley distribution under progressive Type-II censoring scheme with binomial removals. We obtain maximum likelihood estimates for parametric function and their confidence interval using delta method. The Bayes estimates of the same parametric functions are also evaluated using MCMC method under squared error loss function. Finally, some numerical illustrations are given using simulated and real data with given different binomial probability.