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- Title
A Bayesian Approach to Obtain a Lower Bound for the C<sub>pm</sub> Capability Index.
- Authors
Lin, G. H.; Pearn, W. L.; Yang, Y. S.
- Abstract
The Taguchi capability index Cpm, which incorporates the departure of the process mean from the target value, has been proposed to the manufacturing industry for measuring manufacturing capability. A Bayesian procedure has been considered for testing process performance assuming <UEQN>$\mu =T$</UEQN>, which was generalized without assuming <UEQN>$\mu = T$</UEQN>. Statistical properties of the natural estimator of the index Cpm for normal processes have been investigated extensively. However, the investigation was restricted to processes with symmetric tolerances. Recently, a generalized Cpm, referred to as <UEQN>$C''_{{\rm p}m}$</UEQN>, was proposed to cover processes with asymmetric tolerances. Under the normality assumption, the statistical properties of the estimated <UEQN>$C''_{{\rm p}m}$</UEQN> including the exact sampling distribution, the rth moment, expected value, variance, and the mean-squared error were obtained. In this paper, we use a Bayesian approach to obtain the interval estimation for the generalized Taguchi capability index <UEQN>$C''_{{\rm p}m}$</UEQN>. Consequently, the manufacturing capability testing can be performed for quality assurance. Copyright © 2005 John Wiley & Sons, Ltd.
- Subjects
TAGUCHI methods; MANUFACTURING industries; BAYESIAN analysis; STATISTICAL sampling; QUALITY assurance
- Publication
Quality & Reliability Engineering International, 2005, Vol 21, Issue 6, p655
- ISSN
0748-8017
- Publication type
Article
- DOI
10.1002/qre.681