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

DOI10.1007/978-3-031-38271-0_17OpenAlexW4385435092MaRDI QIDQ6178838

Koichi Tojo, Taro Yoshino

Publication date: 16 January 2024

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-38271-0_17

zbMATH Keywords

upper half plane\(q\)-exponential familyPoincaré distribution

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10) Elementary problems in hyperbolic and elliptic geometries (51M09) Differential geometric aspects of statistical manifolds and information geometry (53B12)

Cites Work

• Geometry of \(q\)-exponential family of probability distributions
• Decomposition and invariance of measures, and statistical transformation models
• Harmonic exponential families on homogeneous spaces
• A method to construct exponential families by representation theory
• On Gibbs states of mechanical systems with symmetries
• Exponential transformation models
• GEOMETRY FOR q-EXPONENTIAL FAMILIES
• An Exponential Family on the Upper Half Plane and Its Conjugate Prior
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