Fiducial theory and optimal inference
arXiv:1301.1717 · doi:10.1214/13-AOS1083
Abstract
It is shown that the fiducial distribution in a group model, or more generally a quasigroup model, determines the optimal equivariant frequentist inference procedures. The proof does not rely on existence of invariant measures, and generalizes results corresponding to the choice of the right Haar measure as a Bayesian prior. Classical and more recent examples show that fiducial arguments can be used to give good candidates for exact or approximate confidence distributions. It is here suggested that the fiducial algorithm can be considered as an alternative to the Bayesian algorithm for the construction of good frequentist inference procedures more generally.
Published in at http://dx.doi.org/10.1214/13-AOS1083 the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)
References in corpus (1)
Cited by in corpus (10)
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- Fiducial and Posterior Sampling
- Possibilistic inferential models: a review
- Discussion of "On the Birnbaum Argument for the Strong Likelihood Principle"