Abstract: Poisson regression model is commonly used to model count data. In many scenarios, the data are collected from various locations so spatially varying coefficient Poisson regression model is developed to adjust for spatial dependence. We propose a Bayesian variable selection method for Poisson regression model with spatially varying coefficients. Considering computation efficiency we assign a conjugate multivariate log-gamma (MLG) prior to the regression coefficients and further incorporate the spatial information into the covariance matrix. We apply the horseshoe prior to facilitate a robust variable selection method with computational efficiency and build a MCMC algorithm for the posterior inference.
DOI: *As the DOI is a unique identifier, it is already available in the pdf version. **The DOI link will be activated in the first midst of January 2026.