Past exam of the mathematics course of the University of Cambridge / 2019 / iii / Paper 218 / 3 / b

For player $i$, competition $c$, and rival $r$, the fitted Poisson generalized linear mixed model isA negative-binomial model is commonly obtained by gamma mixing of a multiplicative Poisson mean and has negative-binomial marginals. Here the Gaussian random intercept gives a Poisson-lognormal mixture and correlates observations from the same player.