{"paper":{"title":"Infinite-dimensional statistical manifolds based on a balanced chart","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"math.PR","authors_text":"Nigel J. Newton","submitted_at":"2013-08-16T11:10:55Z","abstract_excerpt":"We develop a family of infinite-dimensional Banach manifolds of measures on an abstract measurable space, employing charts that are \"balanced\" between the density and log-density functions. The manifolds, $(\\tilde{M}_{\\lambda},\\lambda\\in [2,\\infty))$, retain many of the features of finite-dimensional information geometry; in particular, the $\\alpha$-divergences are of class $C^{\\lceil\\lambda\\rceil-1}$, enabling the definition of the Fisher metric and $\\alpha$-derivatives of particular classes of vector fields. Manifolds of probability measures, $(M_{\\lambda},\\lambda\\in [2,\\infty))$, based on c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.3602","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}