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AlejandroCatalina avatar AlejandroCatalina commented on June 4, 2024

Sorry I took some time to get back to this because of my Christmas holidays!

We are pursuing this direction as we speak and already have a prototype to deal with models outside of the exponential family. I hope I can bring more news soon for you to test it.

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StaffanBetner avatar StaffanBetner commented on June 4, 2024

In the meanwhile I can suggest that you fit a Poisson model with a random intercept per observation, which also models the overdispersion. The difference to a negative binomial model is that the additional variation is assumed to be normally distributed instead of Gamma distributed (since the negative binomial distribution is a Poisson-Gamma mixture).

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fweber144 avatar fweber144 commented on June 4, 2024

See also #361.

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fweber144 avatar fweber144 commented on June 4, 2024

Forgot to mention here that the latent projection can be used for negative binomial models, see the latent vignette. Otherwise, #361 tentatively describes how the projection problem could be solved exactly in case of the negative binomial family, so closing this issue here now.

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