Distributions of the Estimated Process Capability Index Cpk

Verfasser / Beitragende:
[G. H. Lin, W. L. Pearn]
Ort, Verlag, Jahr:
2003
Enthalten in:
Economic Quality Control, 18/2(2003-10), 263-279
Format:
Artikel (online)
ID: 378847791
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024 7 0 |a 10.1515/EQC.2003.263  |2 doi 
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245 0 0 |a Distributions of the Estimated Process Capability Index Cpk  |h [Elektronische Daten]  |c [G. H. Lin, W. L. Pearn] 
520 3 |a Process capability indices Cp and Cpk have been widely used to provide numerical measures on process potential and process performance. While Cp measures process variation relative to the specification tolerance, which only reflects process potential, Cpk considers process variation as well as process centering, which gives an approximate measure of process yield. In this paper, the statistical properties of the estimated Cpk for two classes of stable processes are investigated under different real-world conditions: (1) normal processes with constant mean, and (2) normal processes with known probability P(μ ≥ m) = p, 0 ≤ p ≤ 1, where m is the mid-point of the specification interval. For the two classes of processes, the distributions, the probability density functions, the asymptotic behaviors, and other statistical properties of their estimators are derived. 
540 |a © Heldermann Verlag 
690 7 |a Process capability index  |2 nationallicence 
690 7 |a natural estimator  |2 nationallicence 
690 7 |a non-central t-distribution  |2 nationallicence 
690 7 |a asymptotic distribution  |2 nationallicence 
700 1 |a Lin  |D G. H.  |u Department of Transportation & Logistic Management, National Penghu Institute of Technology, Taiwan  |4 aut 
700 1 |a Pearn  |D W. L.  |u Department of Industrial Engineering & Management, National Chiao Tung University, Taiwan  |4 aut 
773 0 |t Economic Quality Control  |d Walter de Gruyter GmbH & Co. KG  |g 18/2(2003-10), 263-279  |x 0940-5151  |q 18:2<263  |1 2003  |2 18  |o EQC 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Lin  |D G. H.  |u Department of Transportation & Logistic Management, National Penghu Institute of Technology, Taiwan  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Pearn  |D W. L.  |u Department of Industrial Engineering & Management, National Chiao Tung University, Taiwan  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Economic Quality Control  |d Walter de Gruyter GmbH & Co. KG  |g 18/2(2003-10), 263-279  |x 0940-5151  |q 18:2<263  |1 2003  |2 18  |o EQC 
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