Inferences from prior-based loss functions

Details Inferences from prior-based loss functions Inferences from prior-based loss functions

2011-04-16

arxiv.org/abs/1104.3258v1

Mathematics

Statistics Theory

Scientific paper

Inferences that arise from loss functions determined by the prior are considered and it is shown that these lead to limiting Bayes rules that are closely connected with likelihood. The procedures obtained via these loss functions are invariant under reparameterizations and are Bayesian unbiased or limits of Bayesian unbiased inferences. These inferences serve as well-supported alternatives to MAP-based inferences.

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