Title: Distributional and inferential properties of the process accuracy and process precision indices
Authors: Pearn, WL
Lin, GH
Chen, KS
工業工程與管理學系
Department of Industrial Engineering and Management
Keywords: process accuracy index;process precision index;process yield;process mean;process standard deviation
Issue Date: 1998
Abstract: Process capability indices such as C-p, k, and C-pk, have been widely used in manufacturing industry to provide numerical measures on process potential and performance. While C-p measures overall process variation, k measures the degree of process departure. In this paper, we consider the index C-p and a transformation of k defined as C-a = 1 - k which measures the degree of process centering. We refer to C-p as the process precision index, and C-a as the process accuracy index. We consider the estimators of C-p and C-a, and investigate their statistical properties. For C-p, we obtain the UMVUE and the MLE. We show that this UMVUE is consistent, and asymptotically efficient. For C-a, 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-p. We show that the proposed test is the UMP test.
URI: http://hdl.handle.net/11536/73
ISSN: 0361-0926
Journal: COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
Volume: 27
Issue: 4
Begin Page: 985
End Page: 1000
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