An Alternative Approach of The Distributional Properties and Moments for A Capability Indices Cpw

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Title:	An Alternative Approach of The Distributional Properties and Moments for A Capability Indices Cpw
Authors:	Hsin-Lin Kuo;Suh-Huey Li
Contributors:	Department of Tourism & Travel Management, Chung-Yu Institute of Technology;Department of Business Administration, Chung-Yu Institute of Technology
Keywords:	Capability Index;Sampling Distribution;Moment;Mean Square Error
Date:	2016-06-01
Issue Date:	2017-12-11
Publisher:	南華大學企業管理學系
Abstract:	A unified of capability indices, containing the indices Cp, Cpk, Cpm, and Cpmk, has earlier been defined by Spiring [6] for the case of two-sided specification intervals. In this paper, we investigate several properties of the estimators of the indices for different values of the weight function when the tolerances are symmetric. Again, we study the statistical properties of the natural estimator of Cpw (In Spiring [6] a family of capability indices, depending on a weight function, w, with symmetric tolerances) and an explicit form of the probability density function of pwCˆ under the assumption of normality and in statistical controlled.
Relation:	管理科學研究 10卷1期
Appears in Collections:	[The Journals of Nanhua University ] Management Sciences Research [Department of Business Administration, Master/Ph.D Program in Management Sciences] Management Sciences Research

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