Probabilistic Methods And Distributed Information

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Probabilistic Methods and Distributed Information

Author : Rudolf Ahlswede
Publisher : Unknown
Page : 581 pages
File Size : 50,9 Mb
Release : 2019
Category : Coding theory
ISBN : 3030003116

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Probabilistic Methods and Distributed Information by Rudolf Ahlswede Pdf

The fifth volume of Rudolf Ahlswede's lectures on Information Theory focuses on several problems that were at the heart of a lot of his research. One of the highlights of the entire lecture note series is surely Part I of this volume on arbitrarily varying channels (AVC), a subject in which Ahlswede was probably the world's leading expert. Appended to Part I is a survey by Holger Boche and Ahmed Mansour on recent results concerning AVC and arbitrarily varying wiretap channels (AVWC). After a short Part II on continuous data compression, Part III, the longest part of the book, is devoted to distributed information. This Part includes discussions on a variety of related topics; among them let us emphasize two which are famously associated with Ahlswede: "multiple descriptions", on which he produced some of the best research worldwide, and "network coding", which had Ahlswede among the authors of its pioneering paper. The final Part IV on "Statistical Inference under Communication constraints" is mainly based on Ahlswede's joint paper with Imre Csiszar, which received the Best Paper Award of the IEEE Information Theory Society. The lectures presented in this work, which consists of 10 volumes, are suitable for graduate students in Mathematics, and also for those working in Theoretical Computer Science, Physics, and Electrical Engineering with a background in basic Mathematics. The lectures can be used either as the basis for courses or to supplement them in many ways. Ph. D. students will also find research problems, often with conjectures, that offer potential subjects for a thesis. More advanced researchers may find questions which form the basis of entire research programs.

Probabilistic Methods and Distributed Information

Author : Rudolf Ahlswede
Publisher : Springer
Page : 581 pages
File Size : 46,8 Mb
Release : 2018-12-31
Category : Mathematics
ISBN : 9783030003128

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Probabilistic Methods and Distributed Information by Rudolf Ahlswede Pdf

The fifth volume of Rudolf Ahlswede’s lectures on Information Theory focuses on several problems that were at the heart of a lot of his research. One of the highlights of the entire lecture note series is surely Part I of this volume on arbitrarily varying channels (AVC), a subject in which Ahlswede was probably the world's leading expert. Appended to Part I is a survey by Holger Boche and Ahmed Mansour on recent results concerning AVC and arbitrarily varying wiretap channels (AVWC). After a short Part II on continuous data compression, Part III, the longest part of the book, is devoted to distributed information. This Part includes discussions on a variety of related topics; among them let us emphasize two which are famously associated with Ahlswede: "multiple descriptions", on which he produced some of the best research worldwide, and "network coding", which had Ahlswede among the authors of its pioneering paper. The final Part IV on "Statistical Inference under Communication constraints" is mainly based on Ahlswede’s joint paper with Imre Csiszar, which received the Best Paper Award of the IEEE Information Theory Society. The lectures presented in this work, which consists of 10 volumes, are suitable for graduate students in Mathematics, and also for those working in Theoretical Computer Science, Physics, and Electrical Engineering with a background in basic Mathematics. The lectures can be used either as the basis for courses or to supplement them in many ways. Ph.D. students will also find research problems, often with conjectures, that offer potential subjects for a thesis. More advanced researchers may find questions which form the basis of entire research programs.

Probabilistic Methods and Distributed Information

Author : Rudolf Ahlswede
Publisher : Springer
Page : 0 pages
File Size : 42,5 Mb
Release : 2019-01-10
Category : Mathematics
ISBN : 3030003108

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Probabilistic Methods and Distributed Information by Rudolf Ahlswede Pdf

The fifth volume of Rudolf Ahlswede’s lectures on Information Theory focuses on several problems that were at the heart of a lot of his research. One of the highlights of the entire lecture note series is surely Part I of this volume on arbitrarily varying channels (AVC), a subject in which Ahlswede was probably the world's leading expert. Appended to Part I is a survey by Holger Boche and Ahmed Mansour on recent results concerning AVC and arbitrarily varying wiretap channels (AVWC). After a short Part II on continuous data compression, Part III, the longest part of the book, is devoted to distributed information. This Part includes discussions on a variety of related topics; among them let us emphasize two which are famously associated with Ahlswede: "multiple descriptions", on which he produced some of the best research worldwide, and "network coding", which had Ahlswede among the authors of its pioneering paper. The final Part IV on "Statistical Inference under Communication constraints" is mainly based on Ahlswede’s joint paper with Imre Csiszar, which received the Best Paper Award of the IEEE Information Theory Society. The lectures presented in this work, which consists of 10 volumes, are suitable for graduate students in Mathematics, and also for those working in Theoretical Computer Science, Physics, and Electrical Engineering with a background in basic Mathematics. The lectures can be used either as the basis for courses or to supplement them in many ways. Ph.D. students will also find research problems, often with conjectures, that offer potential subjects for a thesis. More advanced researchers may find questions which form the basis of entire research programs.

The Probabilistic Method

Author : Noga Alon,Joel H. Spencer
Publisher : John Wiley & Sons
Page : 400 pages
File Size : 45,9 Mb
Release : 2015-10-28
Category : Mathematics
ISBN : 9781119061960

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The Probabilistic Method by Noga Alon,Joel H. Spencer Pdf

Praise for the Third Edition “Researchers of any kind of extremal combinatorics or theoretical computer science will welcome the new edition of this book.” - MAA Reviews Maintaining a standard of excellence that establishes The Probabilistic Method as the leading reference on probabilistic methods in combinatorics, the Fourth Edition continues to feature a clear writing style, illustrative examples, and illuminating exercises. The new edition includes numerous updates to reflect the most recent developments and advances in discrete mathematics and the connections to other areas in mathematics, theoretical computer science, and statistical physics. Emphasizing the methodology and techniques that enable problem-solving, The Probabilistic Method, Fourth Edition begins with a description of tools applied to probabilistic arguments, including basic techniques that use expectation and variance as well as the more advanced applications of martingales and correlation inequalities. The authors explore where probabilistic techniques have been applied successfully and also examine topical coverage such as discrepancy and random graphs, circuit complexity, computational geometry, and derandomization of randomized algorithms. Written by two well-known authorities in the field, the Fourth Edition features: Additional exercises throughout with hints and solutions to select problems in an appendix to help readers obtain a deeper understanding of the best methods and techniques New coverage on topics such as the Local Lemma, Six Standard Deviations result in Discrepancy Theory, Property B, and graph limits Updated sections to reflect major developments on the newest topics, discussions of the hypergraph container method, and many new references and improved results The Probabilistic Method, Fourth Edition is an ideal textbook for upper-undergraduate and graduate-level students majoring in mathematics, computer science, operations research, and statistics. The Fourth Edition is also an excellent reference for researchers and combinatorists who use probabilistic methods, discrete mathematics, and number theory. Noga Alon, PhD, is Baumritter Professor of Mathematics and Computer Science at Tel Aviv University. He is a member of the Israel National Academy of Sciences and Academia Europaea. A coeditor of the journal Random Structures and Algorithms, Dr. Alon is the recipient of the Polya Prize, The Gödel Prize, The Israel Prize, and the EMET Prize. Joel H. Spencer, PhD, is Professor of Mathematics and Computer Science at the Courant Institute of New York University. He is the cofounder and coeditor of the journal Random Structures and Algorithms and is a Sloane Foundation Fellow. Dr. Spencer has written more than 200 published articles and is the coauthor of Ramsey Theory, Second Edition, also published by Wiley.

Probabilistic Methods in the Theory of Structures

Author : Isaac Elishakoff
Publisher : John Wiley & Sons
Page : 508 pages
File Size : 45,8 Mb
Release : 1983
Category : Technology & Engineering
ISBN : MINN:31951000542584S

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Probabilistic Methods in the Theory of Structures by Isaac Elishakoff Pdf

Well-written introduction covers probability theory from two or more random variables, reliability of such multivariable structures, theory of random function, Monte Carlo methods for problems incapable of exact solution, more.

Modeling the Internet and the Web

Author : Pierre Baldi,Paolo Frasconi,Padhraic Smyth
Publisher : John Wiley & Sons
Page : 320 pages
File Size : 47,7 Mb
Release : 2003-07-07
Category : Computers
ISBN : UOM:39015060848689

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Modeling the Internet and the Web by Pierre Baldi,Paolo Frasconi,Padhraic Smyth Pdf

Despite its haphazard growth, the Web hides powerful underlying regularities - from the organization of its links to the patterns found in its use by millions of users. Probabilistic modelling allows many of these regularities to be predicted on the basis of theoretical models based on statistical methodology.

2021 Systems of Signals Generating and Processing in the Field of on Board Communications

Author : IEEE Staff
Publisher : Unknown
Page : 128 pages
File Size : 42,9 Mb
Release : 2021-03-16
Category : Electronic
ISBN : 1665446986

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2021 Systems of Signals Generating and Processing in the Field of on Board Communications by IEEE Staff Pdf

The key areas of the conference include modern digital on board communication systems design and technical operation, radio waves propagation, transmitting, receiving and processing signals in television and radio broadcasting devices, information technologies in transport

Statistical and Probabilistic Methods in Actuarial Science

Author : Philip J. Boland
Publisher : CRC Press
Page : 369 pages
File Size : 40,8 Mb
Release : 2007-03-05
Category : Mathematics
ISBN : 9781584886952

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Statistical and Probabilistic Methods in Actuarial Science by Philip J. Boland Pdf

Statistical and Probabilistic Methods in Actuarial Science covers many of the diverse methods in applied probability and statistics for students aspiring to careers in insurance, actuarial science, and finance. The book builds on students’ existing knowledge of probability and statistics by establishing a solid and thorough understanding of these methods. It also emphasizes the wide variety of practical situations in insurance and actuarial science where these techniques may be used. Although some chapters are linked, several can be studied independently from the others. The first chapter introduces claims reserving via the deterministic chain ladder technique. The next few chapters survey loss distributions, risk models in a fixed period of time, and surplus processes, followed by an examination of credibility theory in which collateral and sample information are brought together to provide reasonable methods of estimation. In the subsequent chapter, experience rating via no claim discount schemes for motor insurance provides an interesting application of Markov chain methods. The final chapters discuss generalized linear models and decision and game theory. Developed by an author with many years of teaching experience, this text presents an accessible, sound foundation in both the theory and applications of actuarial science. It encourages students to use the statistical software package R to check examples and solve problems.

Probabilistic Methods in the Theory of Numbers

Author : Jonas Kubilius
Publisher : American Mathematical Soc.
Page : 206 pages
File Size : 54,5 Mb
Release : 1964-12-31
Category : Mathematics
ISBN : 9780821815618

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Probabilistic Methods in the Theory of Numbers by Jonas Kubilius Pdf

Presents twenty-three lessons, including problems and exercises, on the use of BASIC computer language on microcomputers such as Apple, Pet, Atari, and TRS-80.

Probabilistic Methods In The Theory Of Structures: Strength Of Materials, Random Vibrations, And Random Buckling

Author : Elishakoff Isaac E
Publisher : World Scientific
Page : 524 pages
File Size : 42,7 Mb
Release : 2017-03-23
Category : Technology & Engineering
ISBN : 9789813149878

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Probabilistic Methods In The Theory Of Structures: Strength Of Materials, Random Vibrations, And Random Buckling by Elishakoff Isaac E Pdf

The first edition of this book appeared over three decades ago (Wiley-Interscience, 1983), whereas the second one saw light on the verge of new millennium (Dover, 1999). This is third, corrected and expanded edition that appears in conjunction with its companion volume Probabilistic Methods in the Theory of Structures: Complete Worked-Through Solutions. Thus, the reader is able to both get acquainted with the theoretical material and be able to master some of the problems, following Chinese dictum: I hear and I forget. I see and I remember. I do and I understand — Confucius. The main idea of the book lies in the fact that three topics: probabilistic strength of materials, random vibrations, and probabilistic buckling are presented in a single package allowing one to see the forest in between the trees. Indeed, these three topics usually are presented in separate manners, in different specialized books. Here, the reader gets a feeling of true unity of the subject at large in order to appreciate that in the end what one wants is reliability of the structure, in conjunction with its operating conditions. As the author describes in the Preface of the second edition, this book was not conceived ab initio, as a book that author strived to compose. Rather, it was forced, as it were, upon me due to two reasons. One was rather a surprising but understandable requirement in the venerable Delft University of Technology, The Netherlands to prepare the lecture notes for students with the view of reducing skyrocketing costs of acquisition of textbooks by the students. The other one was an unusually warm acceptance of the notes that the author prepared while at Delft University of Technology and later in Haifa, at the Technion-Israel Institute of Technology by the legendary engineering scientist Warner Tjardus Koiter (1914–1997). The energy necessary to prepare the second and third editions came from enthusiastic reviews that appeared in various sources. Author embraced the simplicity of exposition as the main virtue following Isaac Newton's view that "Truth is ever to be found in simplicity, and not in the multiplicity and confusion of things."

Probabilistic Methods for Algorithmic Discrete Mathematics

Author : Michel Habib
Publisher : Springer Science & Business Media
Page : 346 pages
File Size : 46,6 Mb
Release : 1998-08-19
Category : Computers
ISBN : 3540646221

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Probabilistic Methods for Algorithmic Discrete Mathematics by Michel Habib Pdf

The book gives an accessible account of modern pro- babilistic methods for analyzing combinatorial structures and algorithms. Each topic is approached in a didactic manner but the most recent developments are linked to the basic ma- terial. Extensive lists of references and a detailed index will make this a useful guide for graduate students and researchers. Special features included: - a simple treatment of Talagrand inequalities and their applications - an overview and many carefully worked out examples of the probabilistic analysis of combinatorial algorithms - a discussion of the "exact simulation" algorithm (in the context of Markov Chain Monte Carlo Methods) - a general method for finding asymptotically optimal or near optimal graph colouring, showing how the probabilistic method may be fine-tuned to explit the structure of the underlying graph - a succinct treatment of randomized algorithms and derandomization techniques

Beyond Traditional Probabilistic Methods in Economics

Author : Vladik Kreinovich,Nguyen Ngoc Thach,Nguyen Duc Trung,Dang Van Thanh
Publisher : Springer
Page : 1157 pages
File Size : 53,9 Mb
Release : 2018-11-24
Category : Technology & Engineering
ISBN : 9783030042004

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Beyond Traditional Probabilistic Methods in Economics by Vladik Kreinovich,Nguyen Ngoc Thach,Nguyen Duc Trung,Dang Van Thanh Pdf

This book presents recent research on probabilistic methods in economics, from machine learning to statistical analysis. Economics is a very important – and at the same a very difficult discipline. It is not easy to predict how an economy will evolve or to identify the measures needed to make an economy prosper. One of the main reasons for this is the high level of uncertainty: different difficult-to-predict events can influence the future economic behavior. To make good predictions and reasonable recommendations, this uncertainty has to be taken into account. In the past, most related research results were based on using traditional techniques from probability and statistics, such as p-value-based hypothesis testing. These techniques led to numerous successful applications, but in the last decades, several examples have emerged showing that these techniques often lead to unreliable and inaccurate predictions. It is therefore necessary to come up with new techniques for processing the corresponding uncertainty that go beyond the traditional probabilistic techniques. This book focuses on such techniques, their economic applications and the remaining challenges, presenting both related theoretical developments and their practical applications.

Numerical Methods in Geomechanics

Author : J.B. Martins
Publisher : Springer Science & Business Media
Page : 588 pages
File Size : 44,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789400978959

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Numerical Methods in Geomechanics by J.B. Martins Pdf

Proceedings of the NATO Advanced Study Institute, Braga, Portugal, August 24-September 4, 1981

Probabilistic Methods in Geotechnical Engineering

Author : D. V. Griffiths,G. A. Fenton
Publisher : Springer Science & Business Media
Page : 346 pages
File Size : 49,9 Mb
Release : 2007-12-14
Category : Science
ISBN : 9783211733660

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Probabilistic Methods in Geotechnical Engineering by D. V. Griffiths,G. A. Fenton Pdf

Learn to use probabilistic techniques to solve problems in geotechnical engineering. The book reviews the statistical theories needed to develop the methodologies and interpret the results. Next, the authors explore probabilistic methods of analysis, such as the first order second moment method, the point estimate method, and random set theory. Examples and case histories guide you step by step in applying the techniques to particular problems.

Probabilistic Methods Applied to Electric Power Systems

Author : Samy G. Krishnasamy
Publisher : Elsevier
Page : 679 pages
File Size : 46,5 Mb
Release : 2013-10-22
Category : Technology & Engineering
ISBN : 9781483160740

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Probabilistic Methods Applied to Electric Power Systems by Samy G. Krishnasamy Pdf

Probabilistic Methods Applied to Electric Power Systems contains the proceedings of the First International Symposium held in Toronto, Ontario, Canada, on July 11-13, 1986. The papers explore significant technical advances that have been made in the application of probability methods to the design of electric power systems. This volume is comprised of 65 chapters divided into 10 sections and begins by discussing the probabilistic methodologies used in the assessment of power system reliability and structural design. The following chapters focus on the applications of probabilistic techniques to the analysis and design of transmission systems and structures; evaluation of design and reliability of distribution systems; system planning; and assessment of performance of transmission system components such as insulators, tower joints, and foundations. The probability-based procedures for dealing with data bases such as wind load and ice load are also considered, along with the effects of weather-induced loads on overhead power lines and the use of probability methods in upgrading existing power lines and components. The final section deals with applications of probability methods to power system problems not covered in other chapters. This book will be of value to engineers involved in uprating, designing, analyzing, and assessing reliability of transmission and distribution systems.