A method to construct exponential families by representation theory

DOI10.1007/s41884-022-00072-yzbMath1503.62050OpenAlexW4307125947WikidataQ115600296 ScholiaQ115600296MaRDI QIDQ2102713

Taro Yoshino, Koichi Tojo

Publication date: 29 November 2022

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

Full work available at URL: https://doi.org/10.1007/s41884-022-00072-y

zbMATH Keywords

representation theoryhomogeneous spaceexponential familytransformation modelharmonic exponential family

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Directional data; spatial statistics (62H11)

Related Items (1)

A \(q\)-analogue of the family of Poincaré distributions on the upper half plane

Cites Work

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• Decomposition and invariance of measures, and statistical transformation models
• Conjugate priors for exponential families
• Harmonic exponential families on homogeneous spaces
• Über die analytische Theorie der quadratischen Formen
• Exponential transformation models

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