New classes of discrete bivariate distributions with application to football data

Xiao Jiang, Jeffrey Chu and Saralees Nadarajah

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 16, 8069-8085

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.

Date: 2017
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DOI: 10.1080/03610926.2016.1171358

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