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Asymptotic Properties of Bayes Risk for the Horseshoe Prior

Asymptotic Properties of Bayes Risk for the Horseshoe Prior

In this paper, we establish some optimality properties of the multiple testing rule induced by the horseshoe estimator due to Carvalho, Polson, and Scott (2010, 2009) from a Bayesian decision theoretic viewpoint. We consider the two-groups model for the data and an additive loss structure such that the total loss …