Basic Concepts In Information Theory And Statistics

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Information Theory and Statistics

Author : Imre Csiszár
Publisher : Now Publishers Inc
ISBN 13 : 9781933019055
Total Pages : 128 pages
Book Rating : 4.0/5 (19 download)

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Book Synopsis Information Theory and Statistics by : Imre Csiszár

Download or read book Information Theory and Statistics written by Imre Csiszár and published by Now Publishers Inc. This book was released on 2004 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Reliability Criteria in Information Theory and in Statistical Hypothesis Testing

Author : Evgueni A. Haroutunian
Publisher : Now Publishers Inc
ISBN 13 : 1601980469
Total Pages : 183 pages
Book Rating : 4.6/5 (19 download)

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Book Synopsis Reliability Criteria in Information Theory and in Statistical Hypothesis Testing by : Evgueni A. Haroutunian

Download or read book Reliability Criteria in Information Theory and in Statistical Hypothesis Testing written by Evgueni A. Haroutunian and published by Now Publishers Inc. This book was released on 2008 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph briefly formulates fundamental notions and results of Shannon theory on reliable transmission via coding and gives a survey of results obtained in last two-three decades by the authors.

Information Theory and Statistics

Author : Solomon Kullback
Publisher : Courier Corporation
ISBN 13 : 0486142043
Total Pages : 436 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Information Theory and Statistics by : Solomon Kullback

Download or read book Information Theory and Statistics written by Solomon Kullback and published by Courier Corporation. This book was released on 2012-09-11 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 and Statistical Learning

Author : Frank Emmert-Streib
Publisher : Springer Science & Business Media
ISBN 13 : 0387848150
Total Pages : 443 pages
Book Rating : 4.3/5 (878 download)

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Book Synopsis Information Theory and Statistical Learning by : Frank Emmert-Streib

Download or read book Information Theory and Statistical Learning written by Frank Emmert-Streib and published by Springer Science & Business Media. This book was released on 2009 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This interdisciplinary text offers theoretical and practical results of information theoretic methods used in statistical learning. It presents a comprehensive overview of the many different methods that have been developed in numerous contexts.

Information Theory

Author : Klaus Krippendorff
Publisher : SAGE
ISBN 13 : 9780803921320
Total Pages : 100 pages
Book Rating : 4.9/5 (213 download)

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Book Synopsis Information Theory by : Klaus Krippendorff

Download or read book Information Theory written by Klaus Krippendorff and published by SAGE. This book was released on 1986-09 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: Information theory always has the dual appeal of bringing important concepts to the study of communication in society, and of providing a calculus for information flows within systems. This book introduces readers to basic concepts of information theory, extending its original linear conception of communication to many variables, networks, and higher-order interactions (including loops) and developing it into a method for analyzing qualitative data. It elaborates on the algebra of entropy and information, shows how complex models of data are constructed and tested, describes algorithms for exploring multivariate structures using such models, and gives illustrative applications of these techniques. The book is designed as a text but it can also serve as a handbook for social researchers and systems theorists with an interest in communication.

Information Theory

Author : Robert B. Ash
Publisher :
ISBN 13 :
Total Pages : 339 pages
Book Rating : 4.:/5 (848 download)

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Book Synopsis Information Theory by : Robert B. Ash

Download or read book Information Theory written by Robert B. Ash and published by . This book was released on 1965 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantum Information Theory and Quantum Statistics

Author : Dénes Petz
Publisher : Springer Science & Business Media
ISBN 13 : 3540746366
Total Pages : 221 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Quantum Information Theory and Quantum Statistics by : Dénes Petz

Download or read book Quantum Information Theory and Quantum Statistics written by Dénes Petz and published by Springer Science & Business Media. This book was released on 2007-10-20 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Fady Alajaji
Publisher : Springer
ISBN 13 : 9811080011
Total Pages : 333 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis An Introduction to Single-User Information Theory by : Fady Alajaji

Download or read book An Introduction to Single-User Information Theory written by Fady Alajaji and published by Springer. This book was released on 2018-04-24 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Basic Concepts in Information Theory and Statistics

Author : A. M. Mathai
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 162 pages
Book Rating : 4.4/5 (91 download)

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Book Synopsis Basic Concepts in Information Theory and Statistics by : A. M. Mathai

Download or read book Basic Concepts in Information Theory and Statistics written by A. M. Mathai and published by John Wiley & Sons. This book was released on 1975 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 for Data Communications and Processing

Author : Shlomo Shamai (Shitz)
Publisher : MDPI
ISBN 13 : 3039438174
Total Pages : 294 pages
Book Rating : 4.0/5 (394 download)

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Book Synopsis Information Theory for Data Communications and Processing by : Shlomo Shamai (Shitz)

Download or read book Information Theory for Data Communications and Processing written by Shlomo Shamai (Shitz) and published by MDPI. This book was released on 2021-01-13 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern, current, and future communications/processing aspects motivate basic information-theoretic research for a wide variety of systems for which we do not have the ultimate theoretical solutions (for example, a variety of problems in network information theory as the broadcast/interference and relay channels, which mostly remain unsolved in terms of determining capacity regions and the like). Technologies such as 5/6G cellular communications, Internet of Things (IoT), and mobile edge networks, among others, not only require reliable rates of information measured by the relevant capacity and capacity regions, but are also subject to issues such as latency vs. reliability, availability of system state information, priority of information, secrecy demands, energy consumption per mobile equipment, sharing of communications resources (time/frequency/space), etc. This book, composed of a collection of papers that have appeared in the Special Issue of the Entropy journal dedicated to “Information Theory for Data Communications and Processing”, reflects, in its eleven chapters, novel contributions based on the firm basic grounds of information theory. The book chapters address timely theoretical and practical aspects that constitute both interesting and relevant theoretical contributions, as well as direct implications for modern current and future communications systems.

Elements of Information Theory

Author : Thomas M. Cover
Publisher : John Wiley & Sons
ISBN 13 : 1118585771
Total Pages : 788 pages
Book Rating : 4.1/5 (185 download)

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Book Synopsis Elements of Information Theory by : Thomas M. Cover

Download or read book Elements of Information Theory written by Thomas M. Cover and published by John Wiley & Sons. This book was released on 2012-11-28 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Information Theory

Author : JV Stone
Publisher : Sebtel Press
ISBN 13 : 0956372856
Total Pages : 243 pages
Book Rating : 4.9/5 (563 download)

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Book Synopsis Information Theory by : JV Stone

Download or read book Information Theory written by JV Stone and published by Sebtel Press. This book was released on 2015-01-01 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally developed by Claude Shannon in the 1940s, information theory laid the foundations for the digital revolution, and is now an essential tool in telecommunications, genetics, linguistics, brain sciences, and deep space communication. In this richly illustrated book, accessible examples are used to introduce information theory in terms of everyday games like ‘20 questions’ before more advanced topics are explored. Online MatLab and Python computer programs provide hands-on experience of information theory in action, and PowerPoint slides give support for teaching. Written in an informal style, with a comprehensive glossary and tutorial appendices, this text is an ideal primer for novices who wish to learn the essential principles and applications of information theory.

Introduction to Information Theory and Data Compression, Second Edition

Author : D.C. Hankerson
Publisher : CRC Press
ISBN 13 : 9781584883135
Total Pages : 394 pages
Book Rating : 4.8/5 (831 download)

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Book Synopsis Introduction to Information Theory and Data Compression, Second Edition by : D.C. Hankerson

Download or read book Introduction to Information Theory and Data Compression, Second Edition written by D.C. Hankerson and published by CRC Press. This book was released on 2003-02-26 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: An effective blend of carefully explained theory and practical applications, this text imparts the fundamentals of both information theory and data compression. Although the two topics are related, this unique text allows either topic to be presented independently, and it was specifically designed so that the data compression section requires no prior knowledge of information theory. The treatment of information theory, while theoretical and abstract, is quite elementary, making this text less daunting than many others. After presenting the fundamental definitions and results of the theory, the authors then apply the theory to memoryless, discrete channels with zeroth-order, one-state sources. The chapters on data compression acquaint students with a myriad of lossless compression methods and then introduce two lossy compression methods. Students emerge from this study competent in a wide range of techniques. The authors' presentation is highly practical but includes some important proofs, either in the text or in the exercises, so instructors can, if they choose, place more emphasis on the mathematics. Introduction to Information Theory and Data Compression, Second Edition is ideally suited for an upper-level or graduate course for students in mathematics, engineering, and computer science. Features: Expanded discussion of the historical and theoretical basis of information theory that builds a firm, intuitive grasp of the subject Reorganization of theoretical results along with new exercises, ranging from the routine to the more difficult, that reinforce students' ability to apply the definitions and results in specific situations. Simplified treatment of the algorithm(s) of Gallager and Knuth Discussion of the information rate of a code and the trade-off between error correction and information rate Treatment of probabilistic finite state source automata, including basic results, examples, references, and exercises Octave and MATLAB image compression codes included in an appendix for use with the exercises and projects involving transform methods Supplementary materials, including software, available for download from the authors' Web site at www.dms.auburn.edu/compression

Basic Concepts in Information Theory and Coding

Author : Solomon W. Golomb
Publisher : Springer Science & Business Media
ISBN 13 : 1475723199
Total Pages : 442 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Basic Concepts in Information Theory and Coding by : Solomon W. Golomb

Download or read book Basic Concepts in Information Theory and Coding written by Solomon W. Golomb and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic Concepts in Information Theory and Coding is an outgrowth of a one semester introductory course that has been taught at the University of Southern California since the mid-1960s. Lecture notes from that course have evolved in response to student reaction, new technological and theoretical develop ments, and the insights of faculty members who have taught the course (in cluding the three of us). In presenting this material, we have made it accessible to a broad audience by limiting prerequisites to basic calculus and the ele mentary concepts of discrete probability theory. To keep the material suitable for a one-semester course, we have limited its scope to discrete information theory and a general discussion of coding theory without detailed treatment of algorithms for encoding and decoding for various specific code classes. Readers will find that this book offers an unusually thorough treatment of noiseless self-synchronizing codes, as well as the advantage of problem sections that have been honed by reactions and interactions of several gen erations of bright students, while Agent 00111 provides a context for the discussion of abstract concepts.

Introduction to Coding and Information Theory

Author : Steven Roman
Publisher : Springer Science & Business Media
ISBN 13 : 9780387947044
Total Pages : 344 pages
Book Rating : 4.9/5 (47 download)

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Book Synopsis Introduction to Coding and Information Theory by : Steven Roman

Download or read book Introduction to Coding and Information Theory written by Steven Roman and published by Springer Science & Business Media. This book was released on 1996-11-26 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to introduce coding theory and information theory to undergraduate students of mathematics and computer science. It begins with a review of probablity theory as applied to finite sample spaces and a general introduction to the nature and types of codes. The two subsequent chapters discuss information theory: efficiency of codes, the entropy of information sources, and Shannon's Noiseless Coding Theorem. The remaining three chapters deal with coding theory: communication channels, decoding in the presence of errors, the general theory of linear codes, and such specific codes as Hamming codes, the simplex codes, and many others.

Entropy and Information Theory

Author : Robert M. Gray
Publisher : Springer Science & Business Media
ISBN 13 : 1475739826
Total Pages : 346 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Entropy and Information Theory by : Robert M. Gray

Download or read book Entropy and Information Theory written by Robert M. Gray and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the theory of probabilistic information measures and their application to coding theorems for information sources and noisy channels. The eventual goal is a general development of Shannon's mathematical theory of communication, but much of the space is devoted to the tools and methods required to prove the Shannon coding theorems. These tools form an area common to ergodic theory and information theory and comprise several quantitative notions of the information in random variables, random processes, and dynamical systems. Examples are entropy, mutual information, conditional entropy, conditional information, and discrimination or relative entropy, along with the limiting normalized versions of these quantities such as entropy rate and information rate. Much of the book is concerned with their properties, especially the long term asymptotic behavior of sample information and expected information. This is the only up-to-date treatment of traditional information theory emphasizing ergodic theory.

Information Theory

Author : Imre Csiszár
Publisher : Elsevier
ISBN 13 : 1483281574
Total Pages : 465 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Information Theory by : Imre Csiszár

Download or read book Information Theory written by Imre Csiszár and published by Elsevier. This book was released on 2014-07-10 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: Information Theory: Coding Theorems for Discrete Memoryless Systems presents mathematical models that involve independent random variables with finite range. This three-chapter text specifically describes the characteristic phenomena of information theory. Chapter 1 deals with information measures in simple coding problems, with emphasis on some formal properties of Shannon's information and the non-block source coding. Chapter 2 describes the properties and practical aspects of the two-terminal systems. This chapter also examines the noisy channel coding problem, the computation of channel capacity, and the arbitrarily varying channels. Chapter 3 looks into the theory and practicality of multi-terminal systems. This book is intended primarily for graduate students and research workers in mathematics, electrical engineering, and computer science.