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Author : Claude Dellacherie
Publisher :
ISBN 13 : 9780387062112
Total Pages : 123 pages
Book Rating : 4.0/5 (621 download)
Download or read book Ensembles analytiques, capacités, mesures de Hausdorff written by Claude Dellacherie and published by . This book was released on 1972 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M. Behara
Publisher :
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.:/5 (5 download)
Download or read book Probability and Information Theory Ii written by M. Behara and published by . This book was released on 1973 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M. Behara
Publisher : Springer
ISBN 13 : 3540384855
Total Pages : 232 pages
Book Rating : 4.5/5 (43 download)
Download or read book Probability and Information Theory II written by M. Behara and published by Springer. This book was released on 2006-11-15 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M. Loeve
Publisher : Springer Science & Business Media
ISBN 13 : 0387902627
Total Pages : 437 pages
Book Rating : 4.3/5 (879 download)
Download or read book Probability Theory II written by M. Loeve and published by Springer Science & Business Media. This book was released on 1978-05-15 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended as a text for graduate students and as a reference for workers in probability and statistics. The prerequisite is honest calculus. The material covered in Parts Two to Five inclusive requires about three to four semesters of graduate study. The introductory part may serve as a text for an undergraduate course in elementary probability theory. Numerous historical marks about results, methods, and the evolution of various fields are an intrinsic part of the text. About a third of the second volume is devoted to conditioning and properties of sequences of various types of dependence. The other two thirds are devoted to random functions; the last Part on Elements of random analysis is more sophisticated.
Author : David Applebaum
Publisher : Cambridge University Press
ISBN 13 : 9780521727884
Total Pages : 250 pages
Book Rating : 4.7/5 (278 download)
Download or read book Probability and Information written by David Applebaum and published by Cambridge University Press. This book was released on 2008-08-14 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new and updated textbook is an excellent way to introduce probability and information theory to students new to mathematics, computer science, engineering, statistics, economics, or business studies. Only requiring knowledge of basic calculus, it begins by building a clear and systematic foundation to probability and information. Classic topics covered include discrete and continuous random variables, entropy and mutual information, maximum entropy methods, the central limit theorem and the coding and transmission of information. Newly covered for this edition is modern material on Markov chains and their entropy. Examples and exercises are included to illustrate how to use the theory in a wide range of applications, with detailed solutions to most exercises available online for instructors.
Author : Aleksandr I?Akovlevich Khinchin
Publisher : Courier Corporation
ISBN 13 : 0486604349
Total Pages : 130 pages
Book Rating : 4.4/5 (866 download)
Download or read book Mathematical Foundations of Information Theory written by Aleksandr I?Akovlevich Khinchin and published by Courier Corporation. This book was released on 1957-01-01 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: First comprehensive introduction to information theory explores the work of Shannon, McMillan, Feinstein, and Khinchin. Topics include the entropy concept in probability theory, fundamental theorems, and other subjects. 1957 edition.
Author : David J. C. MacKay
Publisher : Cambridge University Press
ISBN 13 : 9780521642989
Total Pages : 694 pages
Book Rating : 4.6/5 (429 download)
Download or read book Information Theory, Inference and Learning Algorithms written by David J. C. MacKay and published by Cambridge University Press. This book was released on 2003-09-25 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt: Information theory and inference, taught together in this exciting textbook, lie at the heart of many important areas of modern technology - communication, signal processing, data mining, machine learning, pattern recognition, computational neuroscience, bioinformatics and cryptography. The book introduces theory in tandem with applications. Information theory is taught alongside practical communication systems such as arithmetic coding for data compression and sparse-graph codes for error-correction. Inference techniques, including message-passing algorithms, Monte Carlo methods and variational approximations, are developed alongside applications to clustering, convolutional codes, independent component analysis, and neural networks. Uniquely, the book covers state-of-the-art error-correcting codes, including low-density-parity-check codes, turbo codes, and digital fountain codes - the twenty-first-century standards for satellite communications, disk drives, and data broadcast. Richly illustrated, filled with worked examples and over 400 exercises, some with detailed solutions, the book is ideal for self-learning, and for undergraduate or graduate courses. It also provides an unparalleled entry point for professionals in areas as diverse as computational biology, financial engineering and machine learning.
Author :
Publisher :
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.:/5 (218 download)
Download or read book Probability and Information Theory II written by and published by . This book was released on 1972 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Thomas M. Cover
Publisher : John Wiley & Sons
ISBN 13 : 1118585771
Total Pages : 788 pages
Book Rating : 4.1/5 (185 download)
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.
Author : Robert M. Gray
Publisher : Springer Science & Business Media
ISBN 13 : 1475739826
Total Pages : 346 pages
Book Rating : 4.4/5 (757 download)
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.
Author : M. Loeve
Publisher : Springer Science & Business Media
ISBN 13 : 9780387902104
Total Pages : 452 pages
Book Rating : 4.9/5 (21 download)
Download or read book Probability Theory I written by M. Loeve and published by Springer Science & Business Media. This book was released on 1977-03-29 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fourth edition contains several additions. The main ones con cern three closely related topics: Brownian motion, functional limit distributions, and random walks. Besides the power and ingenuity of their methods and the depth and beauty of their results, their importance is fast growing in Analysis as well as in theoretical and applied Proba bility. These additions increased the book to an unwieldy size and it had to be split into two volumes. About half of the first volume is devoted to an elementary introduc tion, then to mathematical foundations and basic probability concepts and tools. The second half is devoted to a detailed study of Independ ence which played and continues to playa central role both by itself and as a catalyst. The main additions consist of a section on convergence of probabilities on metric spaces and a chapter whose first section on domains of attrac tion completes the study of the Central limit problem, while the second one is devoted to random walks. About a third of the second volume is devoted to conditioning and properties of sequences of various types of dependence. The other two thirds are devoted to random functions; the last Part on Elements of random analysis is more sophisticated. The main addition consists of a chapter on Brownian motion and limit distributions.
Author : A.N. Shiryayev
Publisher : Springer Science & Business Media
ISBN 13 : 902772797X
Total Pages : 618 pages
Book Rating : 4.0/5 (277 download)
Download or read book Selected Works of A. N. Kolmogorov written by A.N. Shiryayev and published by Springer Science & Business Media. This book was released on 1992-02-29 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: The creative work of Andrei N. Kolmogorov is exceptionally wide-ranging. In his studies on trigonometric and orthogonal series, the theory of measure and integral, mathematical logic, approximation theory, geometry, topology, functional analysis, classical mechanics, ergodic theory, superposition of functions, and in formation theory, he solved many conceptual and fundamental problems and posed new questions which gave rise to a great deal of further research. Kolmogorov is one of the founders of the Soviet school of probability theory, mathematical statistics, and the theory of turbulence. In these areas he obtained a number of central results, with many applications to mechanics, geophysics, linguistics and biology, among other subjects. This edition includes Kolmogorov's most important papers on mathematics and the natural sciences. It does not include his philosophical and pedagogical studies, his articles written for the "Bolshaya Sovetskaya Entsiklopediya", his papers on prosody and applications of mathematics or his publications on general questions. The material of this edition was selected and compiled by Kolmogorov himself. The first volume consists of papers on mathematics and also on turbulence and classical mechanics. The second volume is devoted to probability theory and mathematical statistics. The focus of the third volume is on information theory and the theory of algorithms.
Author :
Publisher : Allied Publishers
ISBN 13 : 9788177644517
Total Pages : 436 pages
Book Rating : 4.6/5 (445 download)
Download or read book Probability Theory written by and published by Allied Publishers. This book was released on 2013 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability theory
Author : M. Behara
Publisher : Springer
ISBN 13 : 3540360980
Total Pages : 265 pages
Book Rating : 4.5/5 (43 download)
Download or read book Probability and Information Theory written by M. Behara and published by Springer. This book was released on 2006-11-14 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Claude E Shannon
Publisher : University of Illinois Press
ISBN 13 : 025209803X
Total Pages : 141 pages
Book Rating : 4.2/5 (52 download)
Download or read book The Mathematical Theory of Communication written by Claude E Shannon and published by University of Illinois Press. This book was released on 1998-09-01 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientific knowledge grows at a phenomenal pace--but few books have had as lasting an impact or played as important a role in our modern world as The Mathematical Theory of Communication, published originally as a paper on communication theory more than fifty years ago. Republished in book form shortly thereafter, it has since gone through four hardcover and sixteen paperback printings. It is a revolutionary work, astounding in its foresight and contemporaneity. The University of Illinois Press is pleased and honored to issue this commemorative reprinting of a classic.
Author : Minaketan Behara
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (897 download)
Download or read book Probability and Information Theory written by Minaketan Behara and published by . This book was released on 1973 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Boris Vladimirovich Gnedenko
Publisher : Courier Corporation
ISBN 13 : 0486601552
Total Pages : 162 pages
Book Rating : 4.4/5 (866 download)
Download or read book An Elementary Introduction to the Theory of Probability written by Boris Vladimirovich Gnedenko and published by Courier Corporation. This book was released on 1962-01-01 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This compact volume equips the reader with all the facts and principles essential to a fundamental understanding of the theory of probability. It is an introduction, no more: throughout the book the authors discuss the theory of probability for situations having only a finite number of possibilities, and the mathematics employed is held to the elementary level. But within its purposely restricted range it is extremely thorough, well organized, and absolutely authoritative. It is the only English translation of the latest revised Russian edition; and it is the only current translation on the market that has been checked and approved by Gnedenko himself. After explaining in simple terms the meaning of the concept of probability and the means by which an event is declared to be in practice, impossible, the authors take up the processes involved in the calculation of probabilities. They survey the rules for addition and multiplication of probabilities, the concept of conditional probability, the formula for total probability, Bayes's formula, Bernoulli's scheme and theorem, the concepts of random variables, insufficiency of the mean value for the characterization of a random variable, methods of measuring the variance of a random variable, theorems on the standard deviation, the Chebyshev inequality, normal laws of distribution, distribution curves, properties of normal distribution curves, and related topics. The book is unique in that, while there are several high school and college textbooks available on this subject, there is no other popular treatment for the layman that contains quite the same material presented with the same degree of clarity and authenticity. Anyone who desires a fundamental grasp of this increasingly important subject cannot do better than to start with this book. New preface for Dover edition by B. V. Gnedenko.
