Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Distributions of the Estimated Process Capability Index C pk

Distributions of the Estimated Process Capability Index C pk Abstract Process capability indices C p and C pk have been widely used to provide numerical measures on process potential and process performance. While C p measures process variation relative to the specification tolerance, which only reflects process potential, C pk 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 C pk 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Economic Quality Control de Gruyter

Distributions of the Estimated Process Capability Index C pk

Economic Quality Control , Volume 18 (2) – Oct 1, 2003

Loading next page...
 
/lp/de-gruyter/distributions-of-the-estimated-process-capability-index-c-pk-osabnOU9Bw
Publisher
de Gruyter
Copyright
Copyright © 2003 by the
ISSN
1869-6147
eISSN
1869-6147
DOI
10.1515/EQC.2003.263
Publisher site
See Article on Publisher Site

Abstract

Abstract Process capability indices C p and C pk have been widely used to provide numerical measures on process potential and process performance. While C p measures process variation relative to the specification tolerance, which only reflects process potential, C pk 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 C pk 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.

Journal

Economic Quality Controlde Gruyter

Published: Oct 1, 2003

There are no references for this article.