Geometric Modeling in Probability and Statistics

• Κύριοι συγγραφείς: Calin, Ovidiu (Συγγραφέας), Udrişte, Constantin (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Θέματα: Mathematics.; Geometry.; Probabilities.; Statistics.; Probability Theory and Stochastic Processes.; Statistical Theory and Methods.

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...

Πίνακας περιεχομένων:

• 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.