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A progressive mean control chart for COM-Poisson distribution.

Authors :
Alevizakos, Vasileios
Koukouvinos, Christos
Source :
Communications in Statistics: Simulation & Computation. 2022, Vol. 51 Issue 3, p849-867. 19p.
Publication Year :
2022

Abstract

The Conway-Maxwell Poisson (COM-Poisson) distribution is a generalization of the Poisson distribution and encompasses the geometric, the Poisson and the Bernoulli distribution as special cases. This distribution can be used to model over- or under- dispersed data in manufacturing processes. For monitoring such data, a flexible memory-type control chart based on the progressive mean (PM) statistic (regarded as CMP-PM chart) is developed in the present paper. Through a simulation study, we investigate the run-length distribution of the proposed chart. The performance comparison study shows that the CMP-PM chart outperforms the Sellers, the GEWMA and the μ-CUSUM charts at almost all levels of shifts for both over- and under-dispersed data. Finally, the application of the proposed chart is given through an illustrative example. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
03610918
Volume :
51
Issue :
3
Database :
Academic Search Index
Journal :
Communications in Statistics: Simulation & Computation
Publication Type :
Academic Journal
Accession number :
155781218
Full Text :
https://doi.org/10.1080/03610918.2019.1659361