Estimation of Stress-Strength Parameter for Burr Type XII Distribution Based on Progressive Type-II Censoring

Abstract

In this paper, the estimation of stress-strength parameter is considered When the strength and stress respectively are two independent random variables of Burr Type XII distribution. The samples taken for X and Y are progressively censoring of type II. The maximum likelihood estimator (MLE) of R is obtained when the common parameter is unknown. But when the common parameter is known the MLE, uniformly minimum variance unbiased estimator (UMVUE) and the Bayes estimator of are obtained. The exact confidence interval of R based on MLE is obtained. Also the performance of the proposed estimators is compared using the computer simulation. Keywords: Burr Type XII distribution; progressive type-II censoring; stress-strength model; unbiased estimator; maximum-likelihood estimator; uniformly minimum variance unbiased estimator; confidence intervals; Bayes estimator.