Geometric Modeling in Probability and Statistics

This book covers topics of Informational Geometry, a field which deals with the differential geometric study of the manifold probability density functions. This is a field that is increasingly attracting the interest of researchers from many different areas of science, including mathematics, statist...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Calin, Ovidiu (Autor), Udrişte, Constantin (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Temas:
Probabilities.
Geometry.
Statistics .
Probability Theory.
Statistical Theory and Methods.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Part I: The Geometry of Statistical Models
  • Statistical Models
  • Explicit Examples
  • Entropy on Statistical Models
  • Kullback-Leibler Relative Entropy
  • Informational Energy
  • Maximum Entropy Distributions
  • Part II: Statistical Manifolds
  • An Introduction to Manifolds
  • Dualistic Structure
  • Dual Volume Elements
  • Dual Laplacians
  • Contrast Functions Geometry
  • Contrast Functions on Statistical Models
  • Statistical Submanifolds
  • Appendix A: Information Geometry Calculator.

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