Information geometry Volume 45 [eBook] / edited by Angelo Plastino, Arni S.R. Srinivasa Rao and C.R. Rao.
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| Edition | 1st ed. |
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| Contents | 1. Revisiting the connection between Fisher information and entropy’s rate of change--2. Pythagoras theorem in information geometry and applications to generalized linear models--3. Rao distances and conformal mapping--4. Cramer-Rao inequality for testing the suitability of divergent partition functions--5. Information geometry and classical--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--7. Quantum metrology and quantum correlations--8. Information, economics, and the Cramer-Rao bound--9. Zipf’s law results from the scaling invariance of the Cramer–Rao inequality--10. λ-Deformed probability families with subtractive and divisive normalizations. |
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| Physical Description | 1 online resource (xv, 231 pages pages) : ill., digital, PDF file(s). |
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$a Information geometry $n Volume 45 $h [eBook] / $c edited by Angelo Plastino, Arni S.R. Srinivasa Rao and C.R. Rao.
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$a 1st ed.
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$a Amsterdam, Netherlands : $b North-Holland, is an imprint of Elsevier, $c ©2021.
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$a 1 online resource (xv, 231 pages pages) : $b ill., digital, PDF file(s).
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$a Handbook of statistics ; $v Volume 45.
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$a Includes bibliographical references and index.
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$a 1. Revisiting the connection between Fisher information and entropy’s rate of change--2. Pythagoras theorem in information geometry and applications to generalized linear models--3. Rao distances and conformal mapping--4. Cramer-Rao inequality for testing the suitability of divergent partition functions--5. Information geometry and classical--6. Principle of minimum loss of Fisher information, arising from the Cramer-Rao inequality: Its role in evolution of bio-physical laws, complex systems and universes--7. Quantum metrology and quantum correlations--8. Information, economics, and the Cramer-Rao bound--9. Zipf’s law results from the scaling invariance of the Cramer–Rao inequality--10. λ-Deformed probability families with subtractive and divisive normalizations.
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$a 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.
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$a Geometrical models in statistics.
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$a Information geometry.
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$a Statistics.
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$a Plastino, Angelo, $e editor.
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$a Rao, Arni S.R. Srinivasa, $e editor.
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$a Rao, C.R., $e editor.
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$i Printed edition: $z 9780323855679
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$a Handbook of statistics ; $v Volume 45.
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$u https://www.sciencedirect.com/handbook/handbook-of-statistics/vol/45/suppl/C $y Click here to view eBook.
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| Subject | |
| Summary | 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. |