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- W4309444848 abstract "Abstract Chentsov’s theorem, which characterises Markov invariant Riemannian metric and affine connections of manifolds of probability distributions on finite sample spaces, is undoubtedly a cornerstone of information geometry. This article aims at providing a comprehensible survey of Chentsov’s theorem as well as its modest extensions to generic tensor fields and to parametric models comprising continuous probability densities on $${mathbb R}^k$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msup> <mml:mrow> <mml:mi>R</mml:mi> </mml:mrow> <mml:mi>k</mml:mi> </mml:msup> </mml:math> ." @default.
- W4309444848 created "2022-11-27" @default.
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- W4309444848 date "2022-11-21" @default.
- W4309444848 modified "2023-10-09" @default.
- W4309444848 title "Hommage to Chentsov’s theorem" @default.
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- W4309444848 doi "https://doi.org/10.1007/s41884-022-00077-7" @default.
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