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Abstract:
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Motivated by Lee and Cha [The American Statistician, 2015, doi:10.1080/00031305.2015.1044564], we introduce eighteen new families of discrete bivariate distributions. We give explicit expressions for their probability mass and cumulative distribution functions. We re-analyze 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.
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