Bayesian spatial models in INLA

The linear predictor (latent Gaussian random field) is the model of a parameter of the likelihood distribution, transformed with the link function.

E.g. using log link for parameter μi:

ηi=ln(μi)=Xiβ+Zi

E.g. using logit link for parameter πi:

ηi=ln(πi1πi)=Xiβ+Zi