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Would you agree with my conclusions that the beta-binomial model is the best of all proposed? Yes you seem to have done a thorough job on this analysis. Your point about whether it is OK to compare these models with AIC is a good one. I remember reading conflicting information on this point, but I quickly found a reference that supports the idea that it is ...


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No. In general, regression modeling makes no assumptions about the distribution of the predictor variables (except, for some applications, that the predictor variables are observed without error). The choice of the response distribution (e.g. Gaussian vs Poisson vs Gamma, zero-inflated or not, ...) is all about the conditional distribution of the response ...


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You can also use the Poisson Pseudo-Maximum Likelihood (PPML). It was firstly developed by Santos Silva and Tenreyero (2006) for the application of international trade among countries. In 2011, the same authors extended the analysis of the PPML's performance (see in here). They also have this page with some material about the model. Later, it was used in ...


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