Decision procedure of performance assessment of lifetime index of products for the Gompertz distribution

Abstract

Process capability analysis has been widely applied in the field of quality control to monitor the performance of industrial processes. In practice, the lifetime performance index CL is a popular means to assess the performance and potential of such processes, where L is the lower specification limit. The failure-censored sampling plan has the advantage in terms of shorter test time and a saving of resources. The present study constructs a maximum likelihood estimator (MLE) of CL with the failure-censored sampling plan under the Gompertz distribution. The MLE of CL is then utilized to develop a hypothesis testing procedure under the condition of known L. The hypothesis testing procedure is a quality performance assessment system in enterprise resource planning. Managers can employ this testing procedure to determine whether the lifetime performance of products adheres to the required level.