Hi,

Glad to join this community as a beginning practitioner of Bayesian modeling. Recently I am trying to build a GLM to model the duration of a long tailed event using `numpyro`

and `jax`

, but in the process I am not quite sure that my choice is sound and would like to get some advices / suggestions here, as shown below:

(1) I chose to use Gamma distribution to model the outcome (event duration) distribution, because from my understanding of the data generation process it is reasonable to believe that there could be a peak at zero like Exponential distribution as well as above zero. Is my choice making sense? Any other distributions would you use to describe it?

(2) For Gamma likelihood I need to define the priors of parameter α and β. In the scenario of building a GLM, would you define the linear model for α or for β (or both)?

Any advice is much appreciated. Thanks~