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New classes of discrete bivariate distributions with application to football data

Author

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  • Xiao Jiang
  • Jeffrey Chu
  • Saralees Nadarajah

Abstract

Motivated by Lee and Cha [The American Statistician 69 (2015) 221–230], we introduce 18 new families of discrete bivariate distributions. We give explicit expressions for their probability mass functions, cumulative distribution functions, product moments, and moment-generating functions. We reanalyze the football data in Lee and Cha (2015) and show that some of the newly proposed distributions provide better fits than the two families proposed by Lee and Cha.

Suggested Citation

  • Xiao Jiang & Jeffrey Chu & Saralees Nadarajah, 2017. "New classes of discrete bivariate distributions with application to football data," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(16), pages 8069-8085, August.
  • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:16:p:8069-8085
    DOI: 10.1080/03610926.2016.1171358
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    Cited by:

    1. Barbiero, A., 2019. "A bivariate count model with discrete Weibull margins," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 156(C), pages 91-109.

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