Differential Geometrical Foundations of Information Geometry: Geometry of Statistical Manifolds and Divergences

This monograph gives foundations of information geometry from the viewpoint of differential geometry.

Table des matières

Statistical Manifolds and Hessian Manifolds; Divergences; Geometry of Statistical Inferences; Generalized Conformal Structures; Conformal Divergences; Geometry of Deformed Exponential Families; Generalizations of Expectation and Independence of Random Variables; Equaffine Structures and Tchebychev Forms, Geometry of Bayesian Statistics; Infinite Dimensional Information Geometry;

Détails du produit

• Auteurs: Hiroshi Matsuzoe
• Edition: World Scientific Pub Co Inc
• Langues: Anglais
• Format d'édition: Livre Relié
• Sortie: 31.01.2020
• Pages: 350
• Catégorie: Sciences naturelles, médecine, informatique, technique > Mathématiques > Géométrie