The Conway-Maxwell-Poisson distribution: distributional theory and approximation
The Conway-Maxwell-Poisson (CMP) distribution is a natural twoparameter generalisation of the Poisson distribution which has received some attention in the statistics literature in recent years by offering flexible generalisations of some well-known models. In this work, we begin by establishing som...
| Auteurs principaux: | , |
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| Format: | Journal article |
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ALEA
2016
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| _version_ | 1826291464160673792 |
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| author | Daly, F Gaunt, R |
| author_facet | Daly, F Gaunt, R |
| author_sort | Daly, F |
| collection | OXFORD |
| description | The Conway-Maxwell-Poisson (CMP) distribution is a natural twoparameter generalisation of the Poisson distribution which has received some attention in the statistics literature in recent years by offering flexible generalisations of some well-known models. In this work, we begin by establishing some properties of both the CMP distribution and an analogous generalisation of the binomial distribution, which we refer to as the CMB distribution. We also consider some convergence results and approximations, including a bound on the total variation distance between a CMB distribution and the corresponding CMP limit. |
| first_indexed | 2024-03-07T02:59:46Z |
| format | Journal article |
| id | oxford-uuid:b08e07ec-1418-4f66-b58c-0fa75f24db28 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T02:59:46Z |
| publishDate | 2016 |
| publisher | ALEA |
| record_format | dspace |
| spelling | oxford-uuid:b08e07ec-1418-4f66-b58c-0fa75f24db282022-03-27T03:57:32ZThe Conway-Maxwell-Poisson distribution: distributional theory and approximationJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b08e07ec-1418-4f66-b58c-0fa75f24db28Symplectic Elements at OxfordALEA2016Daly, FGaunt, RThe Conway-Maxwell-Poisson (CMP) distribution is a natural twoparameter generalisation of the Poisson distribution which has received some attention in the statistics literature in recent years by offering flexible generalisations of some well-known models. In this work, we begin by establishing some properties of both the CMP distribution and an analogous generalisation of the binomial distribution, which we refer to as the CMB distribution. We also consider some convergence results and approximations, including a bound on the total variation distance between a CMB distribution and the corresponding CMP limit. |
| spellingShingle | Daly, F Gaunt, R The Conway-Maxwell-Poisson distribution: distributional theory and approximation |
| title | The Conway-Maxwell-Poisson distribution: distributional theory and approximation |
| title_full | The Conway-Maxwell-Poisson distribution: distributional theory and approximation |
| title_fullStr | The Conway-Maxwell-Poisson distribution: distributional theory and approximation |
| title_full_unstemmed | The Conway-Maxwell-Poisson distribution: distributional theory and approximation |
| title_short | The Conway-Maxwell-Poisson distribution: distributional theory and approximation |
| title_sort | conway maxwell poisson distribution distributional theory and approximation |
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