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Priors for second-order unbiased Bayes estimators
Mana Sakai, Takeru Matsuda, Tatsuya Kubokawa
Asymptotically unbiased priors, introduced by Hartigan (1965), are designed to achieve second-order unbiasedness of Bayes estimators. This paper extends Hartigan's framework to non…
math.ST2024
Minimaxity under the half-Cauchy prior
Yuzo Maruyama, Takeru Matsuda
This is a follow-up paper of Polson and Scott (2012, Bayesian Analysis), which claimed that the half-Cauchy prior is a sensible default prior for a scale parameter in hierarchical…