Computational Procedure of Performance Assessment of Lifetime Index of Products for the Weibull Distribution with the Progressive First-Failure-Censored Sampling Plan

Abstract

Process capability analysis has been widely applied in the field of quality control to monitor the performance of industrial processes. In practice, lifetime performance index $C_L$ is a popular means to assess the performance and potential of their processes, where L is the lower specification limit. This study will apply the large-sample theory to construct a maximum likelihood estimator (MLE) of $C_L$ with the progressive first-failure-censored sampling plan under the Weibull distribution. The MLE of $C_L$ is then utilized to develop a new hypothesis testing procedure in the condition of known L.