Open AccessAssessing the Lifetime Performance Index of Burr Type III Distribution under Progressive Type II Censoring
Author(s) -
Amal S. Hassan,
Salwa M. Assar,
Amany Selmy
Publication year - 2021
Publication title -
pakistan journal of statistics and operation research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.354
H-Index - 15
eISSN - 2220-5810
pISSN - 1816-2711
DOI - 10.18187/pjsor.v17i3.3635
Subject(s) - censoring (clinical trials) , estimator , mathematics , statistics , monte carlo method , index (typography) , econometrics , computer science , world wide web
Process capability analysis has been widely applied in the eld 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.