Article2021

Bayes estimator of process capability index Cpk with a specified prior mean

5 citations0/0 files storedCommunication in Statistics- Theory and Methods

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Advanced Statistical Process Monitoring Statistical Distribution Estimation and Applications Fault Detection and Control Systems

Abstract

Process capability indices such as Cp, CpL, CpU, and Cpk have been used for evaluating the performance of a manufacturing process in statistical quality control and statistical process control fields. In this paper, a Bayes estimator of Cpk is constructed such that the prior mean is set to be equal to a specified value while the prior distribution is weakly informative. This estimator is compared with conventional Bayes and non Bayes estimators.

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References

1986Process Capability Indices 2008An overview of theory and practice on process capability indices for quality assurance 1989On the distributions of the estimated process capability indices 1999A review and interpretations of process capability indices 1999A Bayesian procedure for process capability assessment 2008Basic Process Capability Indices: An Expository Review 2013On the generalized process capability under simple and mixture models 2015A modified variables repetitive group sampling plan with the consideration of preceding lots information

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