This study develops a novel procedure for measuring the process capability indices of a complete product with several quality characteristics. The p-values of the estimators of C pl , C pu , and C pp , so that the process works at least 100(1 − α)% of the time, are provided. An evaluation checklist is also given to determine whether the process's potentiality and performance meet consumers' expectations.

Capability indices, such as, C p , C pk , C pm and C pmk , are important quantities to provide a measure of process potentiality and performance. In this paper we consider the problem of estimations of indices C pm ( µ T ) and C pmk ( µ = m ) under Bayesian framework. Several priors such as non-informative, conjugate prior and Weibull hazard function have been considered. Some estimates of hyper parameters are also studied. Some Bayesian estimators are derived and lower bounds of the credible intervals under some conditions are also given.

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