Spatial species sampling and product partition models

Abstract

Inference for spatial data arises, for example in medical imaging, epidemiology, ecology, and other areas, and gives rise to specific challenges for nonparametric Bayesian modeling. In this chapter we briefly review the fast growing related literature and discuss two specific models in more detail. The two models are the CAR SSM (species sampling with conditional autoregression) prior of Jo et al. (Dependent species sampling models for spatial density estimation. Technical report, Department of Statistics, Seoul National University, 2015) and the spatial PPM (product partition model) of Page and Quintana (Spatial product partition models. Technical report, Pontificia Universidad Catolica de Chile, 2015).