
Geometric Modeling in Probability and Statistics
Springer (Publisher)
Published on 1. August 2014
Book
Mixed media product
XXIII, 375 pages
978-3-319-07778-9 (ISBN)
Description
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, statistics, geometry, computer science, signal processing, physics and neuroscience. It is the authors' hope that the present book will be a valuable reference for researchers and graduate students in one of the aforementioned fields.
This textbook is a unified presentation of differential geometry and probability theory, and constitutes a text for a course directed at graduate or advanced undergraduate students interested in applications of differential geometry in probability and statistics. The book contains over 100 proposed exercises meant to help students deepen their understanding, and it is accompanied by software that is able to provide numerical computations of several information geometric objects. The reader will understand a flourishing field of mathematics in which very few books have been written so far.
This textbook is a unified presentation of differential geometry and probability theory, and constitutes a text for a course directed at graduate or advanced undergraduate students interested in applications of differential geometry in probability and statistics. The book contains over 100 proposed exercises meant to help students deepen their understanding, and it is accompanied by software that is able to provide numerical computations of several information geometric objects. The reader will understand a flourishing field of mathematics in which very few books have been written so far.
Reviews / Votes
"The book under review presents a concise introduction to the mathematical foundation of information geometry and contains an overview of other related areas of interest and applications. ... This book is well-written and will be a useful and important addition to the resources of practitioners and many others engaged in probability theory, mathematical statistics and related subjects. I recommend it highly as a textbook for a course directed at graduate or advanced undergraduate students." (Prasanna Sahoo, zbMATH, Vol. 1325.60001, 2016)More details
Product info
Buch mit Online-Zugang
Language
English
Place of publication
Cham
Switzerland
Target group
Research
Illustrations
19 s/w Abbildungen, 3 farbige Abbildungen
19 schwarz-weiße und 3 farbige Abbildungen, Bibliographie
Dimensions
Height: 244 mm
Width: 164 mm
Thickness: 22 mm
Weight
666 gr
ISBN-13
978-3-319-07778-9 (9783319077789)
DOI
10.1007/978-3-319-07779-6
Schweitzer Classification
Other editions
Additional editions

Ovidiu Calin | Constantin Udriste
Geometric Modeling in Probability and Statistics
Book
04/2017
Springer
€90.94
Shipment within 10-15 days

Ovidiu Calin | Constantin Udriste
Geometric Modeling in Probability and Statistics
E-Book
07/2014
Springer
€90.94
Available for download
Content
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.
Contrast Functions on Statistical Models.- Statistical Submanifolds.- Appendix A: Information Geometry Calculator.