Reformulating Confidence as Extended Likelihood
Statistics Theory
2026-01-01 v1 Statistics Theory
Abstract
Fisher's fiducial probability has recently received renewed attention under the name confidence. In this paper, we reformulate it within an extended-likelihood framework, a representation that helps to resolve many long-standing controversies. The proposed formulation accommodates multi-dimensional parameters and shows how higher-order approximations can be used to refine standard asymptotic confidence statements.
Keywords
Cite
@article{arxiv.2512.24701,
title = {Reformulating Confidence as Extended Likelihood},
author = {Youngjo Lee},
journal= {arXiv preprint arXiv:2512.24701},
year = {2026}
}