Statistical Modelling 11 (2011), 507–522
The Z-Poisson distribution with application to the modelling of soccer score probabilities
Jostein Lillestøl
Department of Finance and Management Science,
The Norwegian School of Economics
Helleveien 30
N–5045 Bergen
Norway
eMail: jostein.lillestol@nhh.no
Jonas Andersson
The Norwegian School of Economics
Bergen
Norway
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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