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Zbl 1059.62127
Perakis, Michael; Xekalaki, Evdokia
A process capability index for discrete processes. (English)
[J] J. Stat. Comput. Simulation 75, No. 3, 175-187 (2005). ISSN 0094-9655

Summary: The authors [J. Stat. Comput. Simulation 72, 707--718 (2002; Zbl 1014.62129)] have introduced a process capability index that is based on the proportion of conformance of the process under study and has several appealing features. One of its advantages is that it can be used not only for continuous processes, as is the case with the majority of the indices considered in the literature, but also for discrete processes as well.\par In this article, the use of this index is investigated for discrete data under two alternative models, which are frequently considered in statistical process control. In particular, distributional properties and estimation of the index are considered for Poisson processes and for processes resulting in modeling attribute data. The performance of the suggested estimators and confidence limits is tested via simulation.

MSC 2000:: *62P30 Applications in engineering and industry
65C60 Computational problems in statistics

Keywords: process capability indices; proportion of conformance; approximate confidence limits; simulation; Poisson distribution; attribute data

Citations: Zbl 1014.62129

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Zentralblatt MATH Berlin [Germany]