A two-parameter family of non-parametric, deformed exponential manifolds

DOI10.1007/s41884-022-00079-5OpenAlexW4310862384MaRDI QIDQ6138794

Nigel J. Newton

Publication date: 16 January 2024

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

Full work available at URL: https://doi.org/10.1007/s41884-022-00079-5

zbMATH Keywords

Sobolev spacesinformation theorylog-Sobolev inequalityBanach manifoldFisher-Rao metricnon-parametric statistics

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Filtering in stochastic control theory (93E11) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Applications of functional analysis in probability theory and statistics (46N30) Statistical aspects of information-theoretic topics (62B10) Infinite-dimensional manifolds (46T05) Information geometry (statistical aspects) (62B11)

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