A family of partially correlated Poisson models for overdispersion

Cameron, 1986, Econometric models based on count data: comparisons and applications of some estimators and tests, J. Appl. Econometrics, 1, 29, 10.1002/jae.3950010104 Collings, 1985, Testing goodness-of-fit for the Poisson assumption when observations are not identically distributed, J. Amer. Statist. Assoc., 80, 411, 10.2307/2287906 Dean, 1989, Tests for detecting overdispersion in Poisson regression models, J. Amer. Statist. Assoc., 84, 467, 10.2307/2289931 Dean, 1992, Testing for overdispersion in Poisson and binomial regression models, J. Amer. Statist. Assoc., 87, 451, 10.2307/2290276 Efron, 1986, Double exponential families and their use in generalized linear regression, J. Amer. Statist. Assoc., 81, 709, 10.2307/2289002 Fisher, 1950, The significance of deviation from expectation in a Poisson series, Biometrics, 6, 17, 10.2307/3001420 Jorgensen, 1987, Exponential dispersion models, J. Roy. Statist. Soc. Ser. B, 49, 127 McCullagh, 1989 Press, 1992 Stoer, 1980