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• W2048897968 abstract "In this paper, we propose a random intercept Poisson model in which the random effect is assumed to follow a generalized log-gamma (GLG) distribution. This random effect accommodates (or captures) the overdispersion in the counts and induces within-cluster correlation. We derive the first two moments for the marginal distribution as well as the intraclass correlation. Even though numerical integration methods are, in general, required for deriving the marginal models, we obtain the multivariate negative binomial model from a particular parameter setting of the hierarchical model. An iterative process is derived for obtaining the maximum likelihood estimates for the parameters in the multivariate negative binomial model. Residual analysis is proposed and two applications with real data are given for illustration." @default.
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• W2048897968 date "2012-06-01" @default.
• W2048897968 modified "2023-09-26" @default.
• W2048897968 title "A Poisson mixed model with nonnormal random effect distribution" @default.
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• W2048897968 doi "https://doi.org/10.1016/j.csda.2011.12.002" @default.
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