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A progressive mean control chart for COM-Poisson distribution.
- 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