Entropy and Information Theory

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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.

Entropy Densities

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Publisher :
ISBN 13 : 9782854187090
Total Pages : 16 pages
Book Rating : 4.1/5 (87 download)

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Book Synopsis Entropy Densities by : Michael Rockinger

Download or read book Entropy Densities written by Michael Rockinger and published by . This book was released on 2000 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Entropy Densities

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Publisher :
ISBN 13 : 9782854187090
Total Pages : 24 pages
Book Rating : 4.1/5 (87 download)

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Book Synopsis Entropy Densities by : Eric Jondeau

Download or read book Entropy Densities written by Eric Jondeau and published by . This book was released on 2000 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:

On Thermodynamical Limits of Entropy Densities

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Publisher :
ISBN 13 :
Total Pages : 8 pages
Book Rating : 4.:/5 (42 download)

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Book Synopsis On Thermodynamical Limits of Entropy Densities by : Hajime Moriya

Download or read book On Thermodynamical Limits of Entropy Densities written by Hajime Moriya and published by . This book was released on 1998 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "We give some sufficient conditions which guarantee that the entropy density in the thermodynamic limit is equal to the thermodynamical limit of the entropy densities of finite-volume (local) Gibbs states."

Entropy Theory and its Application in Environmental and Water Engineering

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Publisher : John Wiley & Sons
ISBN 13 : 1118428609
Total Pages : 787 pages
Book Rating : 4.1/5 (184 download)

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Book Synopsis Entropy Theory and its Application in Environmental and Water Engineering by : Vijay P. Singh

Download or read book Entropy Theory and its Application in Environmental and Water Engineering written by Vijay P. Singh and published by John Wiley & Sons. This book was released on 2013-01-10 with total page 787 pages. Available in PDF, EPUB and Kindle. Book excerpt: Entropy Theory and its Application in Environmental and Water Engineering responds to the need for a book that deals with basic concepts of entropy theory from a hydrologic and water engineering perspective and then for a book that deals with applications of these concepts to a range of water engineering problems. The range of applications of entropy is constantly expanding and new areas finding a use for the theory are continually emerging. The applications of concepts and techniques vary across different subject areas and this book aims to relate them directly to practical problems of environmental and water engineering. The book presents and explains the Principle of Maximum Entropy (POME) and the Principle of Minimum Cross Entropy (POMCE) and their applications to different types of probability distributions. Spatial and inverse spatial entropy are important for urban planning and are presented with clarity. Maximum entropy spectral analysis and minimum cross entropy spectral analysis are powerful techniques for addressing a variety of problems faced by environmental and water scientists and engineers and are described here with illustrative examples. Giving a thorough introduction to the use of entropy to measure the unpredictability in environmental and water systems this book will add an essential statistical method to the toolkit of postgraduates, researchers and academic hydrologists, water resource managers, environmental scientists and engineers. It will also offer a valuable resource for professionals in the same areas, governmental organizations, private companies as well as students in earth sciences, civil and agricultural engineering, and agricultural and rangeland sciences. This book: Provides a thorough introduction to entropy for beginners and more experienced users Uses numerous examples to illustrate the applications of the theoretical principles Allows the reader to apply entropy theory to the solution of practical problems Assumes minimal existing mathematical knowledge Discusses the theory and its various aspects in both univariate and bivariate cases Covers newly expanding areas including neural networks from an entropy perspective and future developments.

Extension of Positive-Definite Distributions and Maximum Entropy

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821825518
Total Pages : 111 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Extension of Positive-Definite Distributions and Maximum Entropy by : Jean-Pierre Gabardo

Download or read book Extension of Positive-Definite Distributions and Maximum Entropy written by Jean-Pierre Gabardo and published by American Mathematical Soc.. This book was released on 1993 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this work, the maximum entropy method is used to solve the extension problem associated with a positive-definite function, or distribution, defined on an interval of the real line. Garbardo computes explicitly the entropy maximizers corresponding to various logarithmic integrals depending on a complex parameter and investigates the relation to the problem of uniqueness of the extension. These results are based on a generalization, in both the discrete and continuous cases, of Burg's maximum entropy theorem.

Entropy-Based Parameter Estimation in Hydrology

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Publisher : Springer Science & Business Media
ISBN 13 : 9401714312
Total Pages : 382 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Entropy-Based Parameter Estimation in Hydrology by : V.P. Singh

Download or read book Entropy-Based Parameter Estimation in Hydrology written by V.P. Singh and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the pioneering work of Shannon in the late 1940's on the development of the theory of entropy and the landmark contributions of Jaynes a decade later leading to the development of the principle of maximum entropy (POME), the concept of entropy has been increasingly applied in a wide spectrum of areas, including chemistry, electronics and communications engineering, data acquisition and storage and retreival, data monitoring network design, ecology, economics, environmental engineering, earth sciences, fluid mechanics, genetics, geology, geomorphology, geophysics, geotechnical engineering, hydraulics, hydrology, image processing, management sciences, operations research, pattern recognition and identification, photogrammetry, psychology, physics and quantum mechanics, reliability analysis, reservoir engineering, statistical mechanics, thermodynamics, topology, transportation engineering, turbulence modeling, and so on. New areas finding application of entropy have since continued to unfold. The entropy concept is indeed versatile and its applicability widespread. In the area of hydrology and water resources, a range of applications of entropy have been reported during the past three decades or so. This book focuses on parameter estimation using entropy for a number of distributions frequently used in hydrology. In the entropy-based parameter estimation the distribution parameters are expressed in terms of the given information, called constraints. Thus, the method lends itself to a physical interpretation of the parameters. Because the information to be specified usually constitutes sufficient statistics for the distribution under consideration, the entropy method provides a quantitative way to express the information contained in the distribution.

Calculation of Maximum Entropy Densities with Application to Income Distribtuions

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)

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Book Synopsis Calculation of Maximum Entropy Densities with Application to Income Distribtuions by : Ximing Wu

Download or read book Calculation of Maximum Entropy Densities with Application to Income Distribtuions written by Ximing Wu and published by . This book was released on 2003 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper shows that there exits a unique maximum entropy density for any finite sample when arithmetic sample moments are used as side conditions. A sequential updating method to calculate the maxent entropy density subject to known moment constraints is proposed. Instead of imposing the moment constraints simultaneously, the sequential updating method incorporates the moment constraints into the calculation from lower to higher moments and updates the density estimates sequentially. The proposed method is employed to approximate the size distribution of U.S. family income. Numerical experiments and empirical evidence demonstrate the efficiency of this method.

Quantum Entropy and Its Use

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540208068
Total Pages : 368 pages
Book Rating : 4.2/5 (8 download)

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Book Synopsis Quantum Entropy and Its Use by : M. Ohya

Download or read book Quantum Entropy and Its Use written by M. Ohya and published by Springer Science & Business Media. This book was released on 2004-03-24 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerous fundamental properties of quantum information measurement are developed, including the von Neumann entropy of a statistical operator and its limiting normalized version, the entropy rate. Use of quantum-entropy quantities is made in perturbation theory, central limit theorems, thermodynamics of spin systems, entropic uncertainty relations, and optical communication. This new softcover corrected reprint contains summaries of recent developments added to the ends of the chapters.

Maximum-Entropy and Bayesian Methods in Inverse Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 9789027720740
Total Pages : 512 pages
Book Rating : 4.7/5 (27 download)

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Book Synopsis Maximum-Entropy and Bayesian Methods in Inverse Problems by : C.R. Smith

Download or read book Maximum-Entropy and Bayesian Methods in Inverse Problems written by C.R. Smith and published by Springer Science & Business Media. This book was released on 1985-07-31 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the text of the twenty-five papers presented at two workshops entitled Maximum-Entropy and Bayesian Methods in Applied Statistics, which were held at the University of Wyoming from June 8 to 10, 1981, and from August 9 to 11, 1982. The workshops were organized to bring together researchers from different fields to critically examine maxi mum-entropy and Bayesian methods in science, engineering, medicine, oceanography, economics, and other disciplines. An effort was made to maintain an informal environment where ideas could be easily ~xchanged. That the workshops were at least partially successful is borne out by the fact that there have been two succeeding workshops, and the upcoming Fifth Workshop promises to be the largest of all. These workshops and their proceedings could not have been brought to their final form without the substantial help of a number of people. The support of David Hofmann, the past chairman, and Glen Rebka, Jr. , the present chairman of the Physics Department of the University of Wyoming, has been strong and essential. Glen has taken a special interest in seeing that the proceedings have received the support required for their comple tion. The financial support of the Office of University Research Funds, University of Wyoming, is gratefully acknowledged. The secretarial staff, in particular Evelyn Haskell, Janice Gasaway, and Marce Mitchum, of the University of Wyoming Physics Department has contributed a great number of hours in helping C. Ray Smith organize and direct the workshops.

Foundations of High-Energy-Density Physics

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Publisher : Cambridge University Press
ISBN 13 : 1107124115
Total Pages : 759 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Foundations of High-Energy-Density Physics by : Jon Larsen

Download or read book Foundations of High-Energy-Density Physics written by Jon Larsen and published by Cambridge University Press. This book was released on 2017-03-10 with total page 759 pages. Available in PDF, EPUB and Kindle. Book excerpt: A valuable and complete resource that brings together many of the branches of physics needed in high-energy-density physics. Targeted at research scientists and graduate students in physics and astrophysics, this book begins with basic concepts and develops a detailed explanation of the physics of hydrodynamics and energy transport in plasma.

Introduction to Mesoscopic Physics

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Publisher :
ISBN 13 : 9780198507383
Total Pages : 258 pages
Book Rating : 4.5/5 (73 download)

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Book Synopsis Introduction to Mesoscopic Physics by : Yoseph Imry

Download or read book Introduction to Mesoscopic Physics written by Yoseph Imry and published by . This book was released on 2002 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mesoscopic physics refers to the physics of structures larger than a nanometer (one billionth of a meter) but smaller than a micrometer (one millionth of a meter). This size range is the stage on which the exciting new research on submicroscopic and electronic and mechanical devices is being done. This research often crosses the boundary between physics and engineering, since engineering such tiny electronic components requires a firm grasp of quantum physics. Applications for the future may include such wonders as microscopic robot surgeons that travel through the blood stream to repair clogged arteries, submicroscopic actuators and builders, and supercomputers that fit on the head of a pin. The world of the future is being planned and built by physicists, engineers, and chemists working in the microscopic realm. This book can be used as the main text in a course on mesoscopic physics or as a supplementary text in electronic devices, semiconductor devices, and condensed matter physics courses. For this new edition, the author has substantially updated and modified the material especially of chapters 3: Dephasing, 8: Noise in mesoscopic systems, and the concluding chapter 9.

Theory of Multicomponent Fluids

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Publisher : Springer Science & Business Media
ISBN 13 : 0387226370
Total Pages : 311 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Theory of Multicomponent Fluids by : Donald A. Drew

Download or read book Theory of Multicomponent Fluids written by Donald A. Drew and published by Springer Science & Business Media. This book was released on 2006-05-10 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exposition of the derivation and use of equations of motion for two-phase flow. The approach taken derives the equations of motion using ensemble averaging, and compares them with those derived from control volume methods. Closure for dispersed flows is discussed, and some fundamental solutions are given. The work focuses on the fundamental aspects of two-phase flow, and is intended to give the reader a background for understanding the dynamics as well as a system of equations that can be used in predictions of the behavior of dispersed two-phase flows. The exposition in terms of ensemble averaging is new, and combining it with modern continuum mechanics concepts makes this book unique. Intended for engineering, mathematics and physics researchers and advanced graduate students working in the field.

Relative Entropy Densities Converge Almost Surely

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Publisher :
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4.:/5 (123 download)

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Book Synopsis Relative Entropy Densities Converge Almost Surely by : Stanford University. Department of Statistics

Download or read book Relative Entropy Densities Converge Almost Surely written by Stanford University. Department of Statistics and published by . This book was released on 1984 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Complexity In Statistical Inquiry

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Publisher : World Scientific
ISBN 13 : 9814507407
Total Pages : 191 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Stochastic Complexity In Statistical Inquiry by : Jorma Rissanen

Download or read book Stochastic Complexity In Statistical Inquiry written by Jorma Rissanen and published by World Scientific. This book was released on 1998-10-07 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes how model selection and statistical inference can be founded on the shortest code length for the observed data, called the stochastic complexity. This generalization of the algorithmic complexity not only offers an objective view of statistics, where no prejudiced assumptions of 'true' data generating distributions are needed, but it also in one stroke leads to calculable expressions in a range of situations of practical interest and links very closely with mainstream statistical theory. The search for the smallest stochastic complexity extends the classical maximum likelihood technique to a new global one, in which models can be compared regardless of their numbers of parameters. The result is a natural and far reaching extension of the traditional theory of estimation, where the Fisher information is replaced by the stochastic complexity and the Cramer-Rao inequality by an extension of the Shannon-Kullback inequality. Ideas are illustrated with applications from parametric and non-parametric regression, density and spectrum estimation, time series, hypothesis testing, contingency tables, and data compression.

An Efficient Algorithm to Compute Maximum Entropy Densities

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Publisher :
ISBN 13 :
Total Pages : 4 pages
Book Rating : 4.:/5 (761 download)

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Book Synopsis An Efficient Algorithm to Compute Maximum Entropy Densities by : Dirk Ormoneit

Download or read book An Efficient Algorithm to Compute Maximum Entropy Densities written by Dirk Ormoneit and published by . This book was released on 1997 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multivariate Maximum Entropy Densities Applied for Multivariate Analysis of Financial Time Series

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Publisher :
ISBN 13 : 9783868446258
Total Pages : 160 pages
Book Rating : 4.4/5 (462 download)

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Book Synopsis Multivariate Maximum Entropy Densities Applied for Multivariate Analysis of Financial Time Series by : Yang Gao

Download or read book Multivariate Maximum Entropy Densities Applied for Multivariate Analysis of Financial Time Series written by Yang Gao and published by . This book was released on 2014 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: