Fully Bayes factors with a generalized g-prior

Statistics – Methodology

Scientific paper

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Published in at http://dx.doi.org/10.1214/11-AOS917 the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of

Scientific paper

10.1214/11-AOS917

For the normal linear model variable selection problem, we propose selection
criteria based on a fully Bayes formulation with a generalization of Zellner's
$g$-prior which allows for $p>n$. A special case of the prior formulation is
seen to yield tractable closed forms for marginal densities and Bayes factors
which reveal new model evaluation characteristics of potential interest.

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