English

Statistical Decisions Using Likelihood Information Without Prior Probabilities

Artificial Intelligence 2013-01-07 v1

Abstract

This paper presents a decision-theoretic approach to statistical inference that satisfies the likelihood principle (LP) without using prior information. Unlike the Bayesian approach, which also satisfies LP, we do not assume knowledge of the prior distribution of the unknown parameter. With respect to information that can be obtained from an experiment, our solution is more efficient than Wald's minimax solution.However, with respect to information assumed to be known before the experiment, our solution demands less input than the Bayesian solution.

Keywords

Cite

@article{arxiv.1301.0569,
  title  = {Statistical Decisions Using Likelihood Information Without Prior Probabilities},
  author = {Phan H. Giang and Prakash P. Shenoy},
  journal= {arXiv preprint arXiv:1301.0569},
  year   = {2013}
}

Comments

Appears in Proceedings of the Eighteenth Conference on Uncertainty in Artificial Intelligence (UAI2002)

R2 v1 2026-06-21T23:03:38.864Z