Flexible shrinkage in high-dimensional Bayesian spatial autoregressive models

Michael Pfarrhofer, Philipp Piribauer
2019 Spatial Statistics  
This article introduces two absolutely continuous global-local shrinkage priors to enable stochastic variable selection in the context of high-dimensional matrix exponential spatial specifications. Existing approaches as a means to dealing with overparameterization problems in spatial autoregressive specifications typically rely on computationally demanding Bayesian model-averaging techniques. The proposed shrinkage priors can be implemented using Markov chain Monte Carlo methods in a flexible
more » ... nd efficient way. A simulation study is conducted to evaluate the performance of each of the shrinkage priors. Results suggest that they perform particularly well in high-dimensional environments, especially when the number of parameters to estimate exceeds the number of observations. For an empirical illustration we use pan-European regional economic growth data.
doi:10.1016/j.spasta.2018.10.004 fatcat:wluk5wvu6jcynjb63n6wqojsjy