Process Capability and Performance Indices for Discrete Data

Vasileios Alevizakos ()
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Vasileios Alevizakos: Department of Mathematics, National Technical University of Athens, Zografou, 15773 Athens, Greece

Mathematics, 2023, vol. 11, issue 16, 1-22

Abstract: Process capability and performance indices (PCIs and PPIs) are used in industry to provide numerical measures for the capability and performance of several processes. The majority of the literature refers to PCIs and PPIs for continuous data. The aim of this paper is to compute the classical indices for discrete data following Poisson, binomial or negative binomial distribution using various transformation techniques. A simulation study under different situations of a process and comparisons with other existing PCIs for discrete data are also presented. The methodology of computing the indices is easy to use, and as a result, one can have an assessment of the process capability and performance without difficulty. Three examples are further provided to illustrate the application of the transformation techniques.

Keywords: discrete data; binomial distribution; negative binomial distribution; Poisson distribution; process capability indices (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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