
Information Geometry
Description
Key Features
- Written by experts for users of information geometry
- Basics to advanced readers are equally taken care
- Origins and Clarity on Foundations
Readership
Table of Contents
- Section I
Foundations of information geometry
1. Revisiting the connection between Fisher information and entropy’s rate of change
A.R. Plastino, A. Plastino, and F. Pennini
2. Pythagoras theorem in information geometry and applications to generalized linear models
Shinto Eguchi
3. Rao distances and conformal mapping
Arni S.R. Srinivasa Rao and Steven G. Krantz
4. Cramer-Rao inequality for testing the suitability of divergent partition functions
Angelo Plastino, Mario Carlos Rocca, and Diana Monteoliva
5. Information geometry and classical CramKumar Vijay Mishra and M. Ashok Kumar
Section II
Theoretical applications and physics
6. 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 Frieden
7. Quantum metrology and quantum correlations
Diego G. Bussandri and Pedro W. Lamberti
8. Information, economics, and the Cramer-Rao bound
Raymond J. Hawkins and B. Roy Frieden
9. Zipf’s law results from the scaling invariance of the Cramer–Rao inequality
Alberto Hernando and Angelo Plastino
Section III
Advanced statistical theory
10. λ-Deformed probability families with subtractive and divisive normalizations
Jun Zhang and Ting-Kam Leonard Wong
11. Some remarks on Fisher information, the Cramer–Rao inequality, and their applications to physics
H.G. Miller, A. Plastino, and A.R. Plastino
Product details
- No. of pages: 248
- Language: English
- Copyright: © North Holland 2021
- Published: September 20, 2021
- Imprint: North Holland
- Hardcover ISBN: 9780323855679
- eBook ISBN: 9780323855686
About the Series Volume Editors
Arni S.R. Srinivasa Rao

Affiliations and Expertise
C.R. Rao

In 2011 he was recipient of the Royal Statistical Society's Guy Medal in Gold which is awarded triennially to those "who are judged to have merited a signal mark of distinction by reason of their innovative contributions to the theory or application of statistics". It can be awarded both to fellows (members) of the Society and to non-fellows. Since its inception 120 years ago the Gold Medal has been awarded to 34 distinguished statisticians. The first medal was awarded to Charles Booth in 1892. Only two statisticians, H. Cramer (Norwegian) and J. Neyman (Polish), outside Great Britain were awarded the Gold medal and C. R. Rao is the first non-European and non-American to receive the award.
Other awards he has received are the Gold Medal of Calcutta University, Wilks Medal of the American Statistical Association, Wilks Army Medal, Guy Medal in Silver of the Royal Statistical Society (UK), Megnadh Saha Medal and Srinivasa Ramanujan Medal of the Indian National Science Academy, J.C.Bose Gold Medal of Bose Institute and Mahalanobis Centenary Gold Medal of the Indian Science Congress, the Bhatnagar award of the Council of Scientific and Industrial Research, India and the Government of India honored him with the second highest civilian award, Padma Vibhushan, for “outstanding contributions to Science and Engineering / Statistics”, and also instituted a cash award in honor of C R Rao, “to be given once in two years to a young statistician for work done during the preceding 3 years in any field of statistics”.
For his outstanding achievements Rao has been honored with the establishment of an institute named after him, C.R.Rao Advanced Institute for Mathematics, Statistics and Computer Science, in the campus of the University of Hyderabad, India.