Hommage to Chentsov's theorem

DOI10.1007/s41884-022-00077-7MaRDI QIDQ6138789

Akio Fujiwara

Publication date: 16 January 2024

Published in: Information Geometry (Search for Journal in Brave)

zbMATH Keywords

information geometryFisher metric\(\alpha\)-connectionsAmari-Chentsov tensorChentsov's theoremMarkov invariance

Mathematics Subject Classification ID

Miscellaneous applications of functional analysis (46Nxx) Sufficiency and information (62Bxx) Infinite-dimensional manifolds (58Bxx)

Related Items (1)

Information geometry, Jordan algebras, and a coadjoint orbit-like construction

Cites Work

• A infinite-dimensional geometric structure on the space of all the probability measures equivalent to a given one
• Information geometry and sufficient statistics
• Complementing Chentsov's characterization
• Uniqueness of the Fisher–Rao metric on the space of smooth densities
• An Extended Cencov Characterization of the Information Metric
• Unnamed Item

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