GEOMETRY FOR q-EXPONENTIAL FAMILIES

DOI10.1142/9789814355476_0004zbMath1263.60013OpenAlexW1985296155MaRDI QIDQ4909949

Atsumi Ohara, Hiroshi Matsuzoe

Publication date: 22 March 2013

Published in: Recent Progress in Differential Geometry and Its Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/9789814355476_0004

zbMATH Keywords

divergenceTsallis statisticsinformation geometrystatistical manifold\(q\)-product\(q\)-exponential family

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Affine differential geometry (53A15)

Related Items (5)

Geometry of the \(q\)-exponential distribution with dependent competing risks and accelerated life testing ⋮ Einstein's equations and the pseudo-entropy of pseudo-Riemannian information manifolds ⋮ A \(q\)-analogue of the family of Poincaré distributions on the upper half plane ⋮ A definition of the coupled-product for multivariate coupled-exponentials ⋮ Hessian structures on deformed exponential families and their conformal structures

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