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Original Articles

Multivariate Zero-Inflated Poisson Models and Their Applications

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Pages 29-38 | Published online: 12 Mar 2012

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Brian NeelonA. James O'MalleyValerie A. Smith. (2016) Modeling zero‐modified count and semicontinuous data in health services research Part 1: background and overview. Statistics in Medicine 35:27, pages 5070-5093.
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Wanzhu Tu & Hai Liu. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online 1 7 .
Robert M. Kirkpatrick & Michael C. Neale. (2015) Applying Multivariate Discrete Distributions to Genetically Informative Count Data. Behavior Genetics 46:2, pages 252-268.
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Sarah Charlton. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online 1 5 .
Yin Liu & Guo-Liang Tian. (2015) Type I multivariate zero-inflated Poisson distribution with applications. Computational Statistics & Data Analysis 83, pages 200-222.
Crossref
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Crossref
Bonnie K. Ray & Sarah J. Thomas. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Wanzhu Tu. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Chunjiao Dong, David B. Clarke, Xuedong Yan, Asad Khattak & Baoshan Huang. (2014) Multivariate random-parameters zero-inflated negative binomial regression model: An application to estimate crash frequencies at intersections. Accident Analysis & Prevention 70, pages 320-329.
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Osvaldo Loquiha, Niel Hens, Leonardo Chavane, Marleen Temmerman & Marc Aerts. (2013) Modeling heterogeneity for count data: A study of maternal mortality in health facilities in Mozambique. Biometrical Journal 55:5, pages 647-660.
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Colin Aitken & Erica Gold. (2013) Evidence evaluation for discrete data. Forensic Science International 230:1-3, pages 147-155.
Crossref
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Yang-Jin Kim. (2012) Statistical Analysis of K-League Data using Poisson Model. Korean Journal of Applied Statistics 25:5, pages 775-783.
Crossref
Bonnie K. Ray & Sarah J. Thomas. 2001. Encyclopedia of Environmetrics. Encyclopedia of Environmetrics.
Wanzhu Tu. 2001. Encyclopedia of Environmetrics. Encyclopedia of Environmetrics.
Ali ArabScott H. HolanChristopher K. WikleMark L. Wildhaber. (2011) Semiparametric bivariate zero‐inflated Poisson models with application to studies of abundance for multiple species. Environmetrics 23:2, pages 183-196.
Crossref
Katarzyna Bien, Ingmar Nolte & Winfried Pohlmeier. (2011) An inflated multivariate integer count hurdle model: an application to bid and ask quote dynamics. Journal of Applied Econometrics 26:4, pages 669-707.
Crossref
Lluís Bermúdez & Dimitris Karlis. (2011) Bayesian multivariate Poisson models for insurance ratemaking. Insurance: Mathematics and Economics 48:2, pages 226-236.
Crossref
Joanna Kaminska. (2011) Big cities influence on accident prediction modeling results for the whole country. Procedia - Social and Behavioral Sciences 20, pages 752-760.
Crossref
Yunteng Lao, Yao-Jan Wu, Jonathan Corey & Yinhai Wang. (2011) Modeling animal-vehicle collisions using diagonal inflated bivariate Poisson regression. Accident Analysis & Prevention 43:1, pages 220-227.
Crossref
ANDROMACHI TSELONI, IOANNIS NTZOUFRAS, ANNA NICOLAOU & KEN PEASE. (2010) Concentration of personal and household crimes in England and Wales. European Journal of Applied Mathematics 21:4-5, pages 325-348.
Crossref
Shahid Ullah, Caroline F. Finch & Lesley Day. (2010) Statistical modelling for falls count data. Accident Analysis & Prevention 42:2, pages 384-392.
Crossref
JungBok Lee, Byoung Cheol Jung & Seo Hoon Jin. (2009) Tests for zero inflation in a bivariate zero‐inflated Poisson model. Statistica Neerlandica 63:4, pages 400-417.
Crossref
Elisabeth Topalidou & Stelios Psarakis. (2009) Review of multinomial and multiattribute quality control charts. Quality and Reliability Engineering International 25:7, pages 773-804.
Crossref
Karim El-Basyouny & Tarek Sayed. (2009) Collision prediction models using multivariate Poisson-lognormal regression. Accident Analysis & Prevention 41:4, pages 820-828.
Crossref
Lluís Bermúdez i Morata. (2009) A priori ratemaking using bivariate Poisson regression models. Insurance: Mathematics and Economics 44:1, pages 135-141.
Crossref
Alexander Borisov, George Runger, Eugene Tuv & Nuttha Lurponglukana-Strand. 2009. Advances in Intelligent Data Analysis VIII. Advances in Intelligent Data Analysis VIII 225 236 .
Jianming Ma, Kara M. Kockelman & Paul Damien. (2008) A multivariate Poisson-lognormal regression model for prediction of crash counts by severity, using Bayesian methods. Accident Analysis & Prevention 40:3, pages 964-975.
Crossref
Dominique Lord, Simon Washington & John N. Ivan. (2007) Further notes on the application of zero-inflated models in highway safety. Accident Analysis & Prevention 39:1, pages 53-57.
Crossref
Yin Bun Cheung & K. F. Lam. (2006) Bivariate Poisson–Poisson model of zero-inflated absenteeism data. Statistics in Medicine 25:21, pages 3707-3717.
Crossref
G. Sileshi. (2007) Selecting the right statistical model for analysis of insect count data by using information theoretic measures. Bulletin of Entomological Research 96:5, pages 479-488.
Crossref
Jianming MaKara M. Kockelman. (2006) Bayesian Multivariate Poisson Regression for Models of Injury Count, by Severity. Transportation Research Record: Journal of the Transportation Research Board 1950:1, pages 24-34.
Crossref
Dimitris Karlis & Loukia Meligkotsidou. (2005) Multivariate Poisson regression with covariance structure. Statistics and Computing 15:4, pages 255-265.
Crossref
Dominique Lord, Simon P. Washington & John N. Ivan. (2005) Poisson, Poisson-gamma and zero-inflated regression models of motor vehicle crashes: balancing statistical fit and theory. Accident Analysis & Prevention 37:1, pages 35-46.
Crossref
Dimitris Karlis & Ioannis Ntzoufras. (2003) Analysis of sports data by using bivariate Poisson models. Journal of the Royal Statistical Society: Series D (The Statistician) 52:3, pages 381-393.
Crossref
Kui Wang, Andy H. Lee, Kelvin K.W. Yau & Philip J.W. Carrivick. (2003) A bivariate zero-inflated Poisson regression model to analyze occupational injuries. Accident Analysis & Prevention 35:4, pages 625-629.
Crossref
Kelvin K. W. Yau & Andy H. Lee. (2001) Zero‐inflated Poisson regression with random effects to evaluate an occupational injury prevention programme. Statistics in Medicine 20:19, pages 2907-2920.
Crossref
Jean François Walhin. (2001) Bivariate ZIP Models. Biometrical Journal 43:2, pages 147-160.
Crossref
Katarzyna Bien, Ingmar Nolte & Winfried Pohlmeier. (2009) An Inflated Multivariate Integer Count Hurdle Model: An Application to Bid and Ask Quote Dynamics. SSRN Electronic Journal.
Crossref
Pengcheng Zhang, Zezhun Chen, George Tzougas, Xueyuan Wu, Angelos Dassios & Xueyuan Wu. (2022) Multivariate Zero-Inflated Inar(1) Model with an Application in Automobile Insurance. SSRN Electronic Journal.
Crossref
Lluís Bermudez & Dimitris Karlis. (2011) Mixture of Bivariate Poisson Regression Models with an Application to Insurance. SSRN Electronic Journal.
Crossref
Lluís Bermudez. (2008) A Priori Ratemaking Using Bivariate Poisson Regression Models. SSRN Electronic Journal.
Crossref
Lluís Bermúdez & Dimitris Karlis. (2010) Modelling Dependence in a Ratemaking Procedure with Multivariate Poisson Regression Models. SSRN Electronic Journal.
Crossref

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