Computational procedure of performance assessment of lifetime index of products for the Weibull distribution with the progressive first-failure-censored sampling plan (Q1760815)

Summary: 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 \(L\).