Estimation of the Lifetime Performance Index with Burr Type III Distribution Under Type II Censoring

Assessing the lifetime performance index of products is one of the most important topics in the manufacturing industries. Uniformly minimum variance unbiased estimator (UMVUE) of the lifetime performance index based on the right Type II censored sample for Burr Type III distribution is obtained. Then, the UMVUE of lifetime performance index is utilized to develop the new hypothesis testing procedure in the condition of known specification limit. One practical example and Monte Carlo simulation are given to illustrate the use of testing procedure under given significance level.