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...
| Main Authors: | , |
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| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Springer,
2014.
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| Edition: | 1st ed. 2014. |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/978-3-319-07779-6 |
Table of Contents:
- 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.