While looking for a link function for my model I realized I cannot find a good fit for the distribution of my Y (see fig. below). It is the distribution of number of offspring for a given season, the mode is 3 and so poisson and negbinomial tend to underestimate the bulk of the data. I would be curious to know which distribution it follows!
(I am aware that the distribution of the residuals is what matters for the interpretation)
Mean=3.3 SD= 2 N=82
I ran models with poisson (and zero inflated), negbinomial(and zero inflated) and skew_normal. Other solutions?
EDIT: To show what it made me ponder about the distribution of my variable I add 2 diagnostic plots to show why I do not think the fitting (in this case from a zero inflated negative binomial) is very good and the model tends to overestimate the number of 1s and 2s. My guess is because of the low number of 1s and 2s in my Y variable, which made me realize it was a distribution I had never seen..and wondered if someone could name it.