Basic Concepts In Information Theory And Statistics


Basic Concepts In Information Theory And Statistics
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Basic Concepts In Information Theory And Statistics


Basic Concepts In Information Theory And Statistics
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Author : A. M. Mathai
language : en
Publisher: John Wiley & Sons
Release Date : 1975

Basic Concepts In Information Theory And Statistics written by A. M. Mathai and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Mathematics categories.


The concept of uncertainty. The concept of directed divergence. The concept of inaccuracy. Some basic statistical concepts and their characterizations. Some other measures and inequalities.



Information Theory And Statistics


Information Theory And Statistics
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Author : Imre Csiszár
language : en
Publisher: Now Publishers Inc
Release Date : 2004

Information Theory And Statistics written by Imre Csiszár and has been published by Now Publishers Inc this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Computers categories.


Information Theory and Statistics: A Tutorial is concerned with applications of information theory concepts in statistics, in the finite alphabet setting. The topics covered include large deviations, hypothesis testing, maximum likelihood estimation in exponential families, analysis of contingency tables, and iterative algorithms with an "information geometry" background. Also, an introduction is provided to the theory of universal coding, and to statistical inference via the minimum description length principle motivated by that theory. The tutorial does not assume the reader has an in-depth knowledge of Information Theory or statistics. As such, Information Theory and Statistics: A Tutorial, is an excellent introductory text to this highly-important topic in mathematics, computer science and electrical engineering. It provides both students and researchers with an invaluable resource to quickly get up to speed in the field.



Quantum Information Theory And Quantum Statistics


Quantum Information Theory And Quantum Statistics
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Author : Dénes Petz
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-10-20

Quantum Information Theory And Quantum Statistics written by Dénes Petz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-20 with Science categories.


This concise and readable book addresses primarily readers with a background in classical statistical physics and introduces quantum mechanical notions as required. Conceived as a primer to bridge the gap between statistical physics and quantum information, it emphasizes concepts and thorough discussions of the fundamental notions and prepares the reader for deeper studies, not least through a selection of well chosen exercises.



An Introduction To Single User Information Theory


An Introduction To Single User Information Theory
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Author : Fady Alajaji
language : en
Publisher: Springer
Release Date : 2018-04-24

An Introduction To Single User Information Theory written by Fady Alajaji and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-24 with Mathematics categories.


This book presents a succinct and mathematically rigorous treatment of the main pillars of Shannon’s information theory, discussing the fundamental concepts and indispensable results of Shannon’s mathematical theory of communications. It includes five meticulously written core chapters (with accompanying problems), emphasizing the key topics of information measures; lossless and lossy data compression; channel coding; and joint source-channel coding for single-user (point-to-point) communications systems. It also features two appendices covering necessary background material in real analysis and in probability theory and stochastic processes. The book is ideal for a one-semester foundational course on information theory for senior undergraduate and entry-level graduate students in mathematics, statistics, engineering, and computing and information sciences. A comprehensive instructor’s solutions manual is available.



Concepts And Recent Advances In Generalized Information Measures And Statistics


Concepts And Recent Advances In Generalized Information Measures And Statistics
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Author : Andres M. Kowalski, Raul D. Rossignoli and Evaldo M. F. Curado
language : en
Publisher: Bentham Science Publishers
Release Date : 2013-12-13

Concepts And Recent Advances In Generalized Information Measures And Statistics written by Andres M. Kowalski, Raul D. Rossignoli and Evaldo M. F. Curado and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-13 with Science categories.


Since the introduction of the information measure widely known as Shannon entropy, quantifiers based on information theory and concepts such as entropic forms and statistical complexities have proven to be useful in diverse scientific research fields. This book contains introductory tutorials suitable for the general reader, together with chapters dedicated to the basic concepts of the most frequently employed information measures or quantifiers and their recent applications to different areas, including physics, biology, medicine, economics, communication and social sciences. As these quantifiers are powerful tools for the study of general time and data series independently of their sources, this book will be useful to all those doing research connected with information analysis. The tutorials in this volume are written at a broadly accessible level and readers will have the opportunity to acquire the knowledge necessary to use the information theory tools in their field of interest.



Information Theory And Statistics


Information Theory And Statistics
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Author : Solomon Kullback
language : en
Publisher: Courier Corporation
Release Date : 2012-09-11

Information Theory And Statistics written by Solomon Kullback and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-11 with Mathematics categories.


Highly useful text studies logarithmic measures of information and their application to testing statistical hypotheses. Includes numerous worked examples and problems. References. Glossary. Appendix. 1968 2nd, revised edition.



Information Theory For Data Science


Information Theory For Data Science
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Author : Changho Suh
language : en
Publisher:
Release Date : 2023

Information Theory For Data Science written by Changho Suh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with COMPUTERS categories.


Information theory deals with mathematical laws that govern the flow, representation and transmission of information. The most significant achievement of the field is the invention of digital communication which forms the basis of our daily-life digital products such as smart phones, laptops and any IoT devices. Recently it has also found important roles in a spotlight field that has been revolutionized during the past decades: data science.This book aims at demonstrating modern roles of information theory in a widening array of data science applications. The first and second parts of the book covers the core concepts of information theory: basic concepts on several key notions; and celebrated source and channel coding theorems which concern the fundamental limits of communication. The last part focuses on applications that arise in data science, including social networks, ranking, and machine learning.The book is written as a text for senior undergraduate and graduate students working on Information Theory and Communications, and it should also prove to be a valuable reference for professionals and engineers from these fields.



Information Theory And Statistics


Information Theory And Statistics
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Author : Solomon Kullback
language : en
Publisher: Courier Corporation
Release Date : 1997-07-07

Information Theory And Statistics written by Solomon Kullback and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-07-07 with Mathematics categories.


Highly useful text studies logarithmic measures of information and their application to testing statistical hypotheses. Includes numerous worked examples and problems. References. Glossary. Appendix. 1968 2nd, revised edition.



Information Theory


Information Theory
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Author : Robert B. Ash
language : en
Publisher: Halsted Press
Release Date : 1965

Information Theory written by Robert B. Ash and has been published by Halsted Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Computers categories.




Elements Of Information Theory


Elements Of Information Theory
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Author : Thomas M. Cover
language : en
Publisher: John Wiley & Sons
Release Date : 2012-11-28

Elements Of Information Theory written by Thomas M. Cover and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-28 with Computers categories.


The latest edition of this classic is updated with new problem sets and material The Second Edition of this fundamental textbook maintains the book's tradition of clear, thought-provoking instruction. Readers are provided once again with an instructive mix of mathematics, physics, statistics, and information theory. All the essential topics in information theory are covered in detail, including entropy, data compression, channel capacity, rate distortion, network information theory, and hypothesis testing. The authors provide readers with a solid understanding of the underlying theory and applications. Problem sets and a telegraphic summary at the end of each chapter further assist readers. The historical notes that follow each chapter recap the main points. The Second Edition features: * Chapters reorganized to improve teaching * 200 new problems * New material on source coding, portfolio theory, and feedback capacity * Updated references Now current and enhanced, the Second Edition of Elements of Information Theory remains the ideal textbook for upper-level undergraduate and graduate courses in electrical engineering, statistics, and telecommunications.