Intrinsic Priors for Objective Bayesian Model Selection

We put forward the idea that for model selection the intrinsic priors are becoming a center of a cluster of a dominant group of methodologies for objective Bayesian Model Selection. The intrinsic method and its applications have been developed in the last two decades, and has stimulated closely related methods. The intrinsic methodology can be thought of as the long searched approach for objective Bayesian model selection and hypothesis testing. In this paper we review the foundations of the intrinsic priors, their general properties, and some of their applications.