The Z-Poisson distribution with application to the modelling of soccer score probabilities

Abstract

This paper presents a non-standard multivariate Poisson-type distribution, here named as Z-Poisson distribution. Some details on the bivariate case are worked out in the context of modeling soccer (football) scores, and the distribution is fitted to score data from the top league in the 2007–08 season for 10 European countries.

Keywords

multivariate Poisson distribution soccer scores zonal polynomials

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