Assessing the Lifetime Performance Index of Burr Type III Distribution under Progressive Type II Censoring

Process capability analysis has been widely applied in the field of quality control to monitor the performance of industrial processes. Hence, lifetime performance index C-L is used to measure the potential and performance of a process. In the present study, we construct a maximum likelihood estimator of C-L under Burr type III distribution based on the progressive Type II censored sample. The maximum likelihood estimator of C-L is then utilized to develop the hypothesis testing procedure in the condition of known L. Finally, one practical example and Monte Carlo simulation are given to assess the behavior of the lifetime performance index under given significance level.