STATISTICAL INFERENCE FOR THE BURR TYPE III DISTRIBUTION UNDER TYPE II CENSORED DATA

Abstract

In this study, estimation and prediction problems for the Burr type III distribution under type II censored data are considered. Maximum likelihood and maximum product spacing estimation methods are used to estimate model parameters. EM algorithm is employed to obtain maximum likelihood estimates. Unobserved future order statistics are predicted with best unbiased prediction method. A simulation study is carried out to exhibit performance of the estimation methods. Further, a numerical example is presented to illustrate the usefulness of the Burr III distribution.