Bayesian Estimations of Some Process Capability Indices Under Restrictive Assumptions

Abstract

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.