Information Geometry
Elsevier (Publisher)
Published on 26. September 2021
248 pages
978-0-323-85568-6 (ISBN)
Description
The subject of information geometry blends several areas of statistics, computer science, physics, and mathematics. The subject evolved from the groundbreaking article published by legendary statistician C.R. Rao in 1945. His works led to the creation of Cramer-Rao bounds, Rao distance, and Rao-Blackawellization. Fisher-Rao metrics and Rao distances play a very important role in geodesics, econometric analysis to modern-day business analytics. The chapters of the book are written by experts in the field who have been promoting the field of information geometry and its applications.
- Written by experts for users of information geometry
- Basics to advanced readers are equally taken care
- Origins and Clarity on Foundations
More details
Other editions
Additional editions
Arni S.R. Srinivasa Rao | C.R. Rao | Angelo Plastino
Information Geometry: Volume 45
Book
09/2021
North-Holland
€247.60
Shipment within 15-20 days
Persons
Content
Section IFoundations of information geometry1. Revisiting the connection between Fisher information and entropy's rate of change A.R. Plastino, A. Plastino, and F. Pennini2. Pythagoras theorem in information geometry and applications to generalized linear models Shinto Eguchi3. Rao distances and conformal mapping Arni S.R. Srinivasa Rao and Steven G. Krantz4. Cramer-Rao inequality for testing the suitability of divergent partition functions Angelo Plastino, Mario Carlos Rocca, and Diana Monteoliva5. Information geometry and classical CramKumar Vijay Mishra and M. Ashok KumarSection IITheoretical applications and physics6. Principle of minimum loss of Fisher information, arising from the Cramer-Rao inequality: Its role in evolution of bio-physical laws, complex systems and universes B. Roy Frieden7. Quantum metrology and quantum correlations Diego G. Bussandri and Pedro W. Lamberti8. Information, economics, and the Cramer-Rao bound Raymond J. Hawkins and B. Roy Frieden9. Zipf's law results from the scaling invariance of the Cramer-Rao inequality Alberto Hernando and Angelo PlastinoSection IIIAdvanced statistical theory10. ¿-Deformed probability families with subtractive and divisive normalizations Jun Zhang and Ting-Kam Leonard Wong11. Some remarks on Fisher information, the Cramer-Rao inequality, and their applications to physics H.G. Miller, A. Plastino, and A.R. Plastino
