I am using SPSS to model count data with a Poisson distribution. My initial Poisson model and the default Negative binomial model showed over dispersion and under dispersion respectively. I am fitting a third model with custom negative binomial with log link function to estimate dispersion more accurately. However, I get this message after running the model: "There are no valid cases for the log link function. Only the iteration history is displayed. Execution of this command stops". Is it okay for me to go with the best of the first two models or there is a way around the problem with the third model (in which case what should be done)?

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