Abstract
Quality management is very important for many manufacturing industries. Process capability analysis has been widely applied in the field of quality control to monitor the performance of industrial processes. Hence, the lifetime performance indexCLis utilized to measure the performance of product, whereLis the lower specification limit. This study constructs a Bayesian estimator ofCLunder a Rayleigh distribution with the upper record values. The Bayesian estimations are based on squared-error loss function, linear exponential loss function, and general entropy loss function, respectively. Further, the Bayesian estimators ofCLare utilized to construct the testing procedure forCLbased on a credible interval in the condition of knownL. The proposed testing procedure not only can handle nonnormal lifetime data, but also can handle the upper record values. Moreover, the managers can employ the testing procedure to determine whether the lifetime performance of the Rayleigh products adheres to the required level. The hypothesis testing procedure is a quality performance assessment system in enterprise resource planning (ERP).
Highlights
Process capability analysis is an effective means to measure the performance and potential capabilities of a process
Wu et al [5] proposed a hypothesis testing procedure based on a maximum likelihood estimator (MLE) of CL to evaluate the product quality for two-parameter exponential distribution under the right type II censored sample
Let X be the lifetime of such a product, and X has a Rayleigh distribution with the p.d.f. as given by (2)
Summary
Process capability analysis is an effective means to measure the performance and potential capabilities of a process. Wu et al [5] proposed a hypothesis testing procedure based on a maximum likelihood estimator (MLE) of CL to evaluate the product quality for two-parameter exponential distribution under the right type II censored sample. [6] proposed a hypothesis testing procedure based on a MLE of CL to evaluate product quality for exponential distribution under the progressively type II right censored sample. Lee et al [7] constructed an UMVUE of CL and developed a testing procedure for the performance index of products with the exponential distribution based on the type II right censored sample.
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