What I have: points (t) in space and time where something happens (event) denoted 1 with covariate values (X, spatial covariates). I have also sampled the space and I have locations where there are no events denoted 0.

Intensity for the process: lambda(t) = exp(X(t)^{T} beta), where beta is the vector of parameters.

I want to fit an inhomogeneous Poisson Point Process model with the intensity function as above. I have a vector of 1’s and 0’s along with the corresponding covariate vales.

Is it possible to model this type of model in Stan? I have no idea how to go about it, since I don’t have “counts” per se.

Thank you in advance.