期刊名称：Pakistan Journal of Statistics and Operation Research
印刷版ISSN：2220-5810
出版年度：2021
卷号：17
期号：3
页码：633-647
DOI：10.18187/pjsor.v17i3.3635
语种：English
出版社：College of Statistical and Actuarial Sciences
摘要：Process capability analysis has been widely applied in the field of quality control to monitor the performance of industrial processes. Hence, lifetime performance index CL is used to measure the potential and performance of a process. In the present study, we construct a maximum likelihood estimator of CL under Burr Type III distribution based on the progressive Type II censored sample. The maximum likelihood estimator of CL 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.
关键词：Process capability index; Lifetime performance index; Burr Type III distribution; Progressive Type II censoring; Maximum likelihood estimator
