Correction: I meant to say use Binomial (not Gamma) in place of Beta. Yes, Beta is the distribution of a normalized time for a fixed number of events, and Poisson is the distribution of events for a fixed time, so there’s a probable mismatch.
Correction: I meant to say use Binomial (not Gamma) in place of Beta. Yes, Beta is the distribution of a normalized time for a fixed number of events, and Poisson is the distribution of events for a fixed time, so there’s a probable mismatch.