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Information Geometry - 1st Edition - ISBN: 9780323855679

Information Geometry, Volume 45

1st Edition

Series Volume Editors: Arni Srinivasa Rao C.R. Rao Angelo Plastino
Hardcover ISBN: 9780323855679
Imprint: North Holland
Published Date: 1st September 2021
Page Count: 420
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Table of Contents

Contributors in this volume include:
Shinto Eguchi
Kumar Vijay Mishra
Pedro W. Lamberti
Jesús Sánchez-Dehesa
Roy Frieden
Raymond Hawkins
Hank G. Miller
Arni S.R. Srinivasa Rao
Nihat Ay
Flavia Pennini
Jun Zhang
Mario Carlos Rocca


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.

Key Features

  • Written by experts for users of information geometry
  • Basics to advanced readers are equally taken care
  • Origins and Clarity on Foundations


Statisticians, computer scientists, physicists, econometricians and mathematicians


No. of pages:
© North Holland 2021
1st September 2021
North Holland
Hardcover ISBN:

Ratings and Reviews

About the Series Volume Editors

Arni Srinivasa Rao

Arni Srinivasa Rao

Arni S.R. Srinivasa Rao is a mathematical modeler and probability researcher who is a Professor at the Medical College of Georgia, Augusta University. He is the Director of Laboratory for Theory and Mathematical Modeling housed within the Division of Infectious Diseases, Medical College of Georgia, Augusta, U.S.A. Previously, Dr. Rao conducted research and/or taught at Mathematical Institute, University of Oxford (2003, 2005-07), Indian Statistical Institute (1998-2002, 2006-2012), Indian Institute of Science (2002-04), University of Guelph (2004-06). Until 2012, Dr. Rao held a permanent faculty position at the Indian Statistical Institute. He has won the Heiwa-Nakajima Award (Japan) and Fast Track Young Scientists Fellowship in Mathematical Sciences (DST, New Delhi). Dr. Rao also proved a major theorem in stationary population models Rao's Partition Theorem in Populations, Rao-Carey Theorem in stationary populations, and developed mathematical modeling based policies for the spread of diseases like HIV, H5N1, COVID-19, etc. He developed a new set of network models for understanding avian pathogen biology on grid graphs (these were called chicken walk models) and received wide coverage in the science media. Currently, he is researching deep learning and artificial intelligence techniques to be used in medicine.

Affiliations and Expertise

Professor, Medical College of Georgia, USA

C.R. Rao

C.R. Rao

Professor C. R. Rao, born in India, is one of this century's foremost statisticians, and received his education in statistics at the Indian Statistical Institute (ISI), Calcutta. He is Emeritus Holder of the Eberly Family Chair in Statistics at Penn State and Director of the Center for Multivariate Analysis. He has long been recognized as one of the world's top statisticians, and has been awarded 34 honorary doctorates from universities in 19 countries spanning 6 continents. His research has influenced not only statistics, but also the physical, social and natural sciences and engineering.

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.

Affiliations and Expertise

The Pennsylvania State University, University Park, PA, USA

Angelo Plastino

Angelo Plastino, PhD is Emeritus Professor of Physics, La Plata National University, Honorary Professor, University of Buenos Aires, Doctor Honoris Causa, University of Pretoria, Member of the Brazilian Academy of Sciences, Member of the Mexican Academy of Sciences, received the Scopus Elsevier Award to the most cited Argentine physicist in the period 1998-2008 and is the author of 680 refereed papers published in scientific journals (up to December 2020).

Affiliations and Expertise

National University La Plata, La Plata, Argentina