標題: A Bayesian procedure for process capability assessment
作者: Shiau, JJH
Chiang, CT
Hung, HN
統計學研究所
Institute of Statistics
關鍵字: process capability indices;quality;Bayesian approach;confidence interval;credible interval;prior;posterior
公開日期: 1-九月-1999
摘要: The usual practice of judging process capability by evaluating point estimates of some process capability indices has a flaw that there is no assessment on the error distributions of these estimates. However, the distributions of these estimates are usually so complicated that it is very difficult to obtain good interval estimates. In this paper we adopt a Bayesian approach to obtain an interval estimation, particularly for the index C(pm). The posterior probability p that the process under investigation is capable is derived; then the credible interval, a Bayesian analogue of the classical confidence interval, can be obtained. We claim that the process is capable if all the points in the credible interval are greater than the pre-specified capability level omega, say 1.33. To make this Bayesian procedure very easy for practitioners to implement on manufacturing floors, we tabulate the minimum values of (C) over cap(pm)/omega for which the posterior probability p reaches the desirable level, say 95%. For the special cases where the process mean equals the target value for C(pm) and equals the midpoint of the two specification limits for C(pk). the procedure is even simpler; only chi-square tables are needed. Copyright (C) 1999 John Wiley & Sons, Ltd.
URI: http://hdl.handle.net/11536/31113
http://dx.doi.org/10.1002/(SICI)1099-1638(199909/10)15:5<369
ISSN: 0748-8017
DOI: 10.1002/(SICI)1099-1638(199909/10)15:5<369
期刊: QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL
Volume: 15
Issue: 5
起始頁: 369
結束頁: 378
顯示於類別:期刊論文


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