Statistical inference for zero-and-one-inflated poisson models
In this paper, a zero-and-one-inflated Poisson (ZOIP) model is studied. The maximum likelihood estimation and the Bayesian estimation of the model parameters are obtained based on data augmentation method. A simulation study based on proposed sampling algorithm is conducted to assess the performance...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis Group
2017-07-01
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| Series: | Statistical Theory and Related Fields |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/24754269.2017.1400419 |
| _version_ | 1797677072273899520 |
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| author | Yincai Tang Wenchen Liu Ancha Xu |
| author_facet | Yincai Tang Wenchen Liu Ancha Xu |
| author_sort | Yincai Tang |
| collection | DOAJ |
| description | In this paper, a zero-and-one-inflated Poisson (ZOIP) model is studied. The maximum likelihood estimation and the Bayesian estimation of the model parameters are obtained based on data augmentation method. A simulation study based on proposed sampling algorithm is conducted to assess the performance of the proposed estimation for various sample sizes. Finally, two real data-sets are analysed to illustrate the practicability of the proposed method. |
| first_indexed | 2024-03-11T22:39:44Z |
| format | Article |
| id | doaj.art-4ca39fc7b75a45d4b1d49f9ac3aa9f53 |
| institution | Directory Open Access Journal |
| issn | 2475-4269 2475-4277 |
| language | English |
| last_indexed | 2024-03-11T22:39:44Z |
| publishDate | 2017-07-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Statistical Theory and Related Fields |
| spelling | doaj.art-4ca39fc7b75a45d4b1d49f9ac3aa9f532023-09-22T09:19:44ZengTaylor & Francis GroupStatistical Theory and Related Fields2475-42692475-42772017-07-011221622610.1080/24754269.2017.14004191400419Statistical inference for zero-and-one-inflated poisson modelsYincai Tang0Wenchen Liu1Ancha Xu2East China Normal UniversityEast China Normal UniversityWenzhou UniversityIn this paper, a zero-and-one-inflated Poisson (ZOIP) model is studied. The maximum likelihood estimation and the Bayesian estimation of the model parameters are obtained based on data augmentation method. A simulation study based on proposed sampling algorithm is conducted to assess the performance of the proposed estimation for various sample sizes. Finally, two real data-sets are analysed to illustrate the practicability of the proposed method.http://dx.doi.org/10.1080/24754269.2017.1400419zero-inflated poisson modelzero-and-one-inflated poisson modelmlebayesian estimateem algorithmlatent variablegibbs sampling |
| spellingShingle | Yincai Tang Wenchen Liu Ancha Xu Statistical inference for zero-and-one-inflated poisson models Statistical Theory and Related Fields zero-inflated poisson model zero-and-one-inflated poisson model mle bayesian estimate em algorithm latent variable gibbs sampling |
| title | Statistical inference for zero-and-one-inflated poisson models |
| title_full | Statistical inference for zero-and-one-inflated poisson models |
| title_fullStr | Statistical inference for zero-and-one-inflated poisson models |
| title_full_unstemmed | Statistical inference for zero-and-one-inflated poisson models |
| title_short | Statistical inference for zero-and-one-inflated poisson models |
| title_sort | statistical inference for zero and one inflated poisson models |
| topic | zero-inflated poisson model zero-and-one-inflated poisson model mle bayesian estimate em algorithm latent variable gibbs sampling |
| url | http://dx.doi.org/10.1080/24754269.2017.1400419 |
| work_keys_str_mv | AT yincaitang statisticalinferenceforzeroandoneinflatedpoissonmodels AT wenchenliu statisticalinferenceforzeroandoneinflatedpoissonmodels AT anchaxu statisticalinferenceforzeroandoneinflatedpoissonmodels |