Distributional and inferential properties of the process accuracy and process precision indices

NCUTIR > College of Management > Development of Industrial Engineering and Management > 【工業工程與管理系所】期刊論文 > Item 987654321/2791

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Title:	Distributional and inferential properties of the process accuracy and process precision indices
Authors:	Pearn, W.L.;Lin, G.H.;Chen, K.S.
Date:	1998
Issue Date:	2009-08-20 07:49:11 (UTC+8)
Abstract:	Process capability indices such as C,, k, and Cpk, have been widely used in manufacturing industry to provide numerical measures on process potential and performance. While C, measures overall process variation, k measures the degree of process departure. In this paper, we consider the index C, and a transformation of k defined as C, = 1 - k which measures the degree of process centering. We refer to C, as the process precision index, and C, as the process accuracy index. We consider the estimators of C, and Ca, and investigate their statistical properties. For C,, we obtain the UMVUE and the MLE. We show that this UMVUE is consistent, and asymptotically efficient. For C, we investigate its natural estimator. We obtain the first two moments of this estimator, and show that the natural estimator is the MLE, which is asymptotically unbiased and asymptotically efficient. We also propose an efficient test based on the UMVUE of C,. We show that the proposed test is the UMP test.
Relation:	Communications in Statistics-Theory and methods, 27(4), 985-1000
Appears in Collections:	[Development of Industrial Engineering and Management] 【工業工程與管理系所】期刊論文

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