caa a22 4500 378847791 CHVBK 20180305123315.0 cr unu---uuuuu 161128e200310 xx s 000 0 eng 10.1515/EQC.2003.263 doi (NATIONALLICENCE)gruyter-10.1515/EQC.2003.263 Distributions of the Estimated Process Capability Index Cpk [Elektronische Daten] [G. H. Lin, W. L. Pearn] 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. © Heldermann Verlag Process capability index nationallicence natural estimator nationallicence non-central t-distribution nationallicence asymptotic distribution nationallicence Lin G. H. Department of Transportation & Logistic Management, National Penghu Institute of Technology, Taiwan aut Pearn W. L. Department of Industrial Engineering & Management, National Chiao Tung University, Taiwan aut Economic Quality Control Walter de Gruyter GmbH & Co. KG 18/2(2003-10), 263-279 0940-5151 18:2<263 2003 18 EQC https://doi.org/10.1515/EQC.2003.263 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/EQC.2003.263 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lin G. H. Department of Transportation & Logistic Management, National Penghu Institute of Technology, Taiwan aut NATIONALLICENCE 700 1- Pearn W. L. Department of Industrial Engineering & Management, National Chiao Tung University, Taiwan aut NATIONALLICENCE 773 0- Economic Quality Control Walter de Gruyter GmbH & Co. KG 18/2(2003-10), 263-279 0940-5151 18:2<263 2003 18 EQC CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter