Zero-inflated Conway-Maxwell Poisson Distribution to Analyze Discrete Data
In this paper, we study the zero-inflated Conway-Maxwell Poisson (ZICMP) distribution and develop a regression model. Score and likelihood ratio tests are also implemented for testing the inflation/deflation parameter. Simulation studies are carried out to examine the performance of these tests. A d...
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| Materiálatiipa: | Artihkal |
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De Gruyter
2018
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| _version_ | 1825721540599087104 |
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| author | Sim, Shin Zhu Gupta, Ramesh C. Ong, Seng Huat |
| author_facet | Sim, Shin Zhu Gupta, Ramesh C. Ong, Seng Huat |
| author_sort | Sim, Shin Zhu |
| collection | UM |
| description | In this paper, we study the zero-inflated Conway-Maxwell Poisson (ZICMP) distribution and develop a regression model. Score and likelihood ratio tests are also implemented for testing the inflation/deflation parameter. Simulation studies are carried out to examine the performance of these tests. A data example is presented to illustrate the concepts. In this example, the proposed model is compared to the well-known zero-inflated Poisson (ZIP) and the zero-inflated generalized Poisson (ZIGP) regression models. It is shown that the fit by ZICMP is comparable or better than these models. |
| first_indexed | 2024-03-06T05:51:50Z |
| format | Article |
| id | um.eprints-20656 |
| institution | Universiti Malaya |
| last_indexed | 2024-03-06T05:51:50Z |
| publishDate | 2018 |
| publisher | De Gruyter |
| record_format | dspace |
| spelling | um.eprints-206562019-03-12T01:25:36Z http://eprints.um.edu.my/20656/ Zero-inflated Conway-Maxwell Poisson Distribution to Analyze Discrete Data Sim, Shin Zhu Gupta, Ramesh C. Ong, Seng Huat Q Science (General) QA Mathematics In this paper, we study the zero-inflated Conway-Maxwell Poisson (ZICMP) distribution and develop a regression model. Score and likelihood ratio tests are also implemented for testing the inflation/deflation parameter. Simulation studies are carried out to examine the performance of these tests. A data example is presented to illustrate the concepts. In this example, the proposed model is compared to the well-known zero-inflated Poisson (ZIP) and the zero-inflated generalized Poisson (ZIGP) regression models. It is shown that the fit by ZICMP is comparable or better than these models. De Gruyter 2018 Article PeerReviewed Sim, Shin Zhu and Gupta, Ramesh C. and Ong, Seng Huat (2018) Zero-inflated Conway-Maxwell Poisson Distribution to Analyze Discrete Data. The International Journal of Biostatistics, 14 (1). p. 20160070. ISSN 1557-4679, DOI https://doi.org/10.1515/ijb-2016-0070 <https://doi.org/10.1515/ijb-2016-0070>. https://doi.org/10.1515/ijb-2016-0070 doi:10.1515/ijb-2016-0070 |
| spellingShingle | Q Science (General) QA Mathematics Sim, Shin Zhu Gupta, Ramesh C. Ong, Seng Huat Zero-inflated Conway-Maxwell Poisson Distribution to Analyze Discrete Data |
| title | Zero-inflated Conway-Maxwell Poisson Distribution to Analyze Discrete Data |
| title_full | Zero-inflated Conway-Maxwell Poisson Distribution to Analyze Discrete Data |
| title_fullStr | Zero-inflated Conway-Maxwell Poisson Distribution to Analyze Discrete Data |
| title_full_unstemmed | Zero-inflated Conway-Maxwell Poisson Distribution to Analyze Discrete Data |
| title_short | Zero-inflated Conway-Maxwell Poisson Distribution to Analyze Discrete Data |
| title_sort | zero inflated conway maxwell poisson distribution to analyze discrete data |
| topic | Q Science (General) QA Mathematics |
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