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    Title: Bayesian estimations of some process capability Indices under restrictive assumptions
    Other Titles: 在限制假設下一些製程能力指標之貝氏估計
    Authors: 吳錦全;Wu, Chin-chuan;歐陽良裕;Ouyang, Liang-yuh;郭信霖;Kuo, Hsin-lin
    Contributors: 淡江大學統計學系
    Keywords: 製程能力指標;貝氏方法;可靠區間;無資訊事前分布;共軛事前分布 Process capability indices;Bayesian approach;Credible interval;Non-informative prior;Conjugate prior
    Date: 2003-01
    Issue Date: 2013-06-07 10:36:41 (UTC+8)
    Publisher: 桃園縣:中國工業工程學會
    Abstract: Capability indices, such as, Cp, Cpk, Cpm and Cpmk , are important quantities to provide a measure of process potentiality and performance. In this paper we consider the problem of estimations of indices Cpm (µ T) and Cpmk (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.
    Relation: 工業工程學刊=Journal of the Chinese Institute of Industrial Engineers 20(1),頁49-61
    DOI: 10.1080/10170660309509224
    Appears in Collections:[Graduate Institute & Department of Statistics] Journal Article

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