A Simple Sampler for the Horseshoe Estimator

E. Makalic,D. Schmidt

Published 2015 in IEEE Signal Processing Letters

ABSTRACT

In this note we derive a simple Bayesian sampler for linear regression with the horseshoe hierarchy. A new interpretation of the horseshoe model is presented, and extensions to logistic regression and alternative hierarchies, such as horseshoe+, are discussed. Due to the conjugacy of the proposed hierarchy, Chib's algorithm may be used to easily compute the marginal likelihood of the model.

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