Information Geometry
Specificaties
Gebonden, blz.
|
Engels
Elsevier Science |
2021
ISBN13: 9780323855679
Rubricering
Onderdeel van serie
Handbook of Statistics
Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9780323855679
Taal:Engels
Bindwijze:Gebonden
Uitgever:Elsevier Science
Serie:Handbook of Statistics
Inhoudsopgave
Section I<br>Foundations of information geometry<br>1. Revisiting the connection between Fisher information and entropy’s rate of change <br>A.R. Plastino, A. Plastino, and F. Pennini<br>2. Pythagoras theorem in information geometry and applications to generalized linear models <br>Shinto Eguchi<br>3. Rao distances and conformal mapping <br>Arni S.R. Srinivasa Rao and Steven G. Krantz<br>4. Cramer-Rao inequality for testing the suitability of divergent partition functions <br>Angelo Plastino, Mario Carlos Rocca, and Diana Monteoliva<br>5. Information geometry and classical Cram<ER–RAO-TYPE <br inequalities>Kumar Vijay Mishra and M. Ashok Kumar<br>Section II<br>Theoretical applications and physics<br>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 <br>B. Roy Frieden<br>7. Quantum metrology and quantum correlations <br>Diego G. Bussandri and Pedro W. Lamberti<br>8. Information, economics, and the Cramer-Rao bound <br>Raymond J. Hawkins and B. Roy Frieden<br>9. Zipf’s law results from the scaling invariance of the Cramer–Rao inequality <br>Alberto Hernando and Angelo Plastino<br>Section III<br>Advanced statistical theory<br>10. λ-Deformed probability families with subtractive and divisive normalizations <br>Jun Zhang and Ting-Kam Leonard Wong<br>11. Some remarks on Fisher information, the Cramer–Rao inequality, and their applications to physics <br>H.G. Miller, A. Plastino, and A.R. Plastino