{"ID":2823661,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2512.24701","arxiv_id":"2512.24701","title":"Reformulating Confidence as Extended Likelihood","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.","short_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...","url_abs":"https://arxiv.org/abs/2512.24701","url_pdf":"https://arxiv.org/pdf/2512.24701v1","authors":"[\"Youngjo Lee\"]","published":"2025-12-31T08:08:10Z","proceeding":"math.ST","tasks":"[\"math.ST\"]","methods":"[]","has_code":false}