Bivariate Poisson and diagonal inflated bivariate Poisson regression models in R. In this paper we present an R package called bivpois for maximum likelihood estimation of the parameters of bivariate and diagonal inflated bivariate Poisson regression models. An Expectation-Maximization (EM) algorithm is implemented. Inflated models allow for modelling both over-dispersion (or under-dispersion) and negative correlation and thus they are appropriate for a wide range of applications. Extensions of the algorithms for several other models are also discussed. Detailed guidance and implementation on simulated and real data sets using bivpois package is provided.

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  1. Zhang, Chi; Tian, Guo-Liang; Yuen, Kam Chuen; Wu, Qin; Li, Tao: Multivariate zero-and-one inflated Poisson model with applications (2020)
  2. Andrade e Silva, J. M.; de Lourdes Centeno, M.: Ratemaking of dependent risks (2017)
  3. Hofer, Vera; Leitner, Johannes: Relative pricing of binary options in live soccer betting markets (2017)
  4. Su, Pei-Fang; Mau, Yu-Lin; Guo, Yan; Li, Chung-I; Liu, Qi; Boice, John D.; Shyr, Yu: Bivariate Poisson models with varying offsets: an application to the paired mitochondrial DNA dataset (2017)
  5. Mohammadi, Tayeb; Kheiri, Soleiman; Sedehi, Morteza: Analysis of blood transfusion data using bivariate zero-inflated Poisson model: A Bayesian approach (2016)
  6. Sellers, Kimberly F.; Morris, Darcy Steeg; Balakrishnan, Narayanaswamy: Bivariate Conway-Maxwell-Poisson distribution: formulation, properties, and inference (2016)
  7. Sengupta, Pooja; Chaganty, N. Rao; Sabo, Roy T.: Bivariate doubly inflated Poisson models with applications (2016)
  8. Volos, Christos K. (ed.); Vaidyanathan, Sundarapandian (ed.); Pham, Viet-Thanh (ed.); Tlelo-Cuautle, Esteban (ed.): Discrete chaotic dynamics for economics and social science (2016)
  9. Yang, Miao; Das, Kalyan; Majumdar, Anandamayee: Analysis of bivariate zero inflated count data with missing responses (2016)
  10. Novoa-Muñoz, F.; Jiménez-Gamero, M. D.: Testing for the bivariate Poisson distribution (2014)
  11. Hofer, Vera; Leitner, Johannes: A bivariate Sarmanov regression model for count data with generalised Poisson marginals (2012)
  12. Tsagris, Michael; Elmatzoglou, Ioannis; Frangos, Christos C.: The assessment of performance of correlation estimates in discrete bivariate distributions using bootstrap methodology (2012)
  13. Bermúdez, Lluís; Karlis, Dimitris: Bayesian multivariate Poisson models for insurance ratemaking (2011)
  14. Lillestøl, Jostein; Andersson, Jonas: The Z-Poisson distribution with application to the modelling of soccer score probabilities (2011)
  15. Morata, Lluís Bermúdez I: A priori ratemaking using bivariate Poisson regression models (2009)
  16. Skinner, G. K.; Freeman, G. H.: Soccer matches as experiments: how often does the `best’ team win? (2009)
  17. Dimitris Karlis; Ioannis Ntzoufras: Bivariate Poisson and Diagonal Inflated Bivariate Poisson Regression Models in R (2005) not zbMATH