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Bivariate Poisson and Diagonal Inflated Bivariate Poisson Regression Models in R

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  • Karlis, Dimitris
  • Ntzoufras, Ioannis

Abstract

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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  • Karlis, Dimitris & Ntzoufras, Ioannis, 2005. "Bivariate Poisson and Diagonal Inflated Bivariate Poisson Regression Models in R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 14(i10).
    • Handle: RePEc:jss:jstsof:v:014:i10
    DOI: http://hdl.handle.net/10.18637/jss.v014.i10
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    Cited by:

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    10. M Ataharul Islam & Rafiqul I Chowdhury, 2017. "A generalized right truncated bivariate Poisson regression model with applications to health data," PLOS ONE, Public Library of Science, vol. 12(6), pages 1-13, June.
    11. Bermúdez i Morata, Lluís, 2009. "A priori ratemaking using bivariate Poisson regression models," Insurance: Mathematics and Economics, Elsevier, vol. 44(1), pages 135-141, February.
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    15. Lluis Bermúdez i Morata, 2008. "A priori ratemaking using bivariate poisson regression models," Working Papers XREAP2008-09, Xarxa de Referència en Economia Aplicada (XREAP), revised Jul 2008.
    16. Tsagris, Michail & Elmatzoglou, Ioannis & C. Frangos, Christos, 2012. "Assessment of Performance of Correlation Estimates in Discrete Bivariate Distributions using Bootstrap Methodology," MPRA Paper 68057, University Library of Munich, Germany.
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