bivpois

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.


References in zbMATH (referenced in 17 articles , 1 standard article )

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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