English

Relative belief inferences from decision theory

Statistics Theory 2024-06-14 v1 Statistics Theory

Abstract

Relative belief inferences are shown to arise as Bayes rules or limiting Bayes rules. These inferences are invariant under reparameterizations and possess a number of optimal properties. In particular, relative belief inferences are based on a direct measure of statistical evidence.

Keywords

Cite

@article{arxiv.2406.08732,
  title  = {Relative belief inferences from decision theory},
  author = {Michael Evans and Gun Ho Jang},
  journal= {arXiv preprint arXiv:2406.08732},
  year   = {2024}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1104.3258

R2 v1 2026-06-28T17:03:56.816Z