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Article: Multivariate zero-and-one inflated Poisson model with applications
Title | Multivariate zero-and-one inflated Poisson model with applications |
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Authors | |
Keywords | Expectation–maximization (EM) algorithm Multivariate zero-and-one inflated poisson Univariate zero-and-one inflated poisson Zero-inflated poisson |
Issue Date | 2020 |
Publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cam |
Citation | Journal of Computational and Applied Mathematics, 2020, v. 365, article no. 112356 How to Cite? |
Abstract | This paper extends the univariate zero-and-one inflated Poisson (ZOIP) distribution (Melkersson & Olsson, 1999; Zhang et al., 2016) to its multivariate version, which can be used to model correlated multivariate count data with large proportions of zeros and ones marginally. More importantly, this new multivariate ZOIP distribution possesses a flexible dependency structure; i.e., the correlation coefficient between any two random components could be either positive or negative depending on the values of the parameters. The important distributional properties are explored and some useful statistical inference methods without and with covariates are developed. Simulation studies are conducted to evaluate the performance of the proposed methods. Finally, two real data sets on healthcare and insurance are used to illustrate the proposed methods. © 2019 Elsevier B.V. |
Persistent Identifier | http://hdl.handle.net/10722/272966 |
ISSN | 2023 Impact Factor: 2.1 2023 SCImago Journal Rankings: 0.858 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Zhang, C | - |
dc.contributor.author | Tian, G | - |
dc.contributor.author | Yuen, KC | - |
dc.contributor.author | Wu, Q | - |
dc.contributor.author | Li, T | - |
dc.date.accessioned | 2019-08-06T09:20:02Z | - |
dc.date.available | 2019-08-06T09:20:02Z | - |
dc.date.issued | 2020 | - |
dc.identifier.citation | Journal of Computational and Applied Mathematics, 2020, v. 365, article no. 112356 | - |
dc.identifier.issn | 0377-0427 | - |
dc.identifier.uri | http://hdl.handle.net/10722/272966 | - |
dc.description.abstract | This paper extends the univariate zero-and-one inflated Poisson (ZOIP) distribution (Melkersson & Olsson, 1999; Zhang et al., 2016) to its multivariate version, which can be used to model correlated multivariate count data with large proportions of zeros and ones marginally. More importantly, this new multivariate ZOIP distribution possesses a flexible dependency structure; i.e., the correlation coefficient between any two random components could be either positive or negative depending on the values of the parameters. The important distributional properties are explored and some useful statistical inference methods without and with covariates are developed. Simulation studies are conducted to evaluate the performance of the proposed methods. Finally, two real data sets on healthcare and insurance are used to illustrate the proposed methods. © 2019 Elsevier B.V. | - |
dc.language | eng | - |
dc.publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cam | - |
dc.relation.ispartof | Journal of Computational and Applied Mathematics | - |
dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
dc.subject | Expectation–maximization (EM) algorithm | - |
dc.subject | Multivariate zero-and-one inflated poisson | - |
dc.subject | Univariate zero-and-one inflated poisson | - |
dc.subject | Zero-inflated poisson | - |
dc.title | Multivariate zero-and-one inflated Poisson model with applications | - |
dc.type | Article | - |
dc.identifier.email | Yuen, KC: kcyuen@hku.hk | - |
dc.identifier.authority | Yuen, KC=rp00836 | - |
dc.description.nature | postprint | - |
dc.identifier.doi | 10.1016/j.cam.2019.112356 | - |
dc.identifier.scopus | eid_2-s2.0-85069936730 | - |
dc.identifier.hkuros | 299776 | - |
dc.identifier.volume | 365 | - |
dc.identifier.spage | article no. 112356 | - |
dc.identifier.epage | article no. 112356 | - |
dc.identifier.isi | WOS:000488998400001 | - |
dc.publisher.place | Netherlands | - |
dc.identifier.issnl | 0377-0427 | - |