New Developments in Statistical Information Theory Based on Entropy and Divergence Measures

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Publisher : MDPI
ISBN 13 : 3038979368
Total Pages : 344 pages
Book Rating : 4.0/5 (389 download)

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Book Synopsis New Developments in Statistical Information Theory Based on Entropy and Divergence Measures by : Leandro Pardo

Download or read book New Developments in Statistical Information Theory Based on Entropy and Divergence Measures written by Leandro Pardo and published by MDPI. This book was released on 2019-05-20 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents new and original research in Statistical Information Theory, based on minimum divergence estimators and test statistics, from a theoretical and applied point of view, for different statistical problems with special emphasis on efficiency and robustness. Divergence statistics, based on maximum likelihood estimators, as well as Wald’s statistics, likelihood ratio statistics and Rao’s score statistics, share several optimum asymptotic properties, but are highly non-robust in cases of model misspecification under the presence of outlying observations. It is well-known that a small deviation from the underlying assumptions on the model can have drastic effect on the performance of these classical tests. Specifically, this book presents a robust version of the classical Wald statistical test, for testing simple and composite null hypotheses for general parametric models, based on minimum divergence estimators.

New Developments in Statistical Information Theory Based on Entropy and Divergence Measures

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Publisher :
ISBN 13 : 9783038979371
Total Pages : 344 pages
Book Rating : 4.9/5 (793 download)

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Book Synopsis New Developments in Statistical Information Theory Based on Entropy and Divergence Measures by : Leandro Pardo

Download or read book New Developments in Statistical Information Theory Based on Entropy and Divergence Measures written by Leandro Pardo and published by . This book was released on 2019 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents new and original research in Statistical Information Theory, based on minimum divergence estimators and test statistics, from a theoretical and applied point of view, for different statistical problems with special emphasis on efficiency and robustness. Divergence statistics, based on maximum likelihood estimators, as well as Wald's statistics, likelihood ratio statistics and Rao's score statistics, share several optimum asymptotic properties, but are highly non-robust in cases of model misspecification under the presence of outlying observations. It is well-known that a small deviation from the underlying assumptions on the model can have drastic effect on the performance of these classical tests. Specifically, this book presents a robust version of the classical Wald statistical test, for testing simple and composite null hypotheses for general parametric models, based on minimum divergence estimators.

Statistical Inference Based on Divergence Measures

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Author :
Publisher : CRC Press
ISBN 13 : 1420034812
Total Pages : 512 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Statistical Inference Based on Divergence Measures by : Leandro Pardo

Download or read book Statistical Inference Based on Divergence Measures written by Leandro Pardo and published by CRC Press. This book was released on 2018-11-12 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea of using functionals of Information Theory, such as entropies or divergences, in statistical inference is not new. However, in spite of the fact that divergence statistics have become a very good alternative to the classical likelihood ratio test and the Pearson-type statistic in discrete models, many statisticians remain unaware of this p

Concepts and Recent Advances in Generalized Information Measures and Statistics

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Publisher : Bentham Science Publishers
ISBN 13 : 1608057607
Total Pages : 432 pages
Book Rating : 4.6/5 (8 download)

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Book Synopsis Concepts and Recent Advances in Generalized Information Measures and Statistics by : Andres M. Kowalski, Raul D. Rossignoli and Evaldo M. F. Curado

Download or read book Concepts and Recent Advances in Generalized Information Measures and Statistics written by Andres M. Kowalski, Raul D. Rossignoli and Evaldo M. F. Curado and published by Bentham Science Publishers. This book was released on 2013-12-13 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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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.

Statistical Inference Based on Divergence Measures

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Publisher : Chapman and Hall/CRC
ISBN 13 : 9781584886006
Total Pages : 512 pages
Book Rating : 4.8/5 (86 download)

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Book Synopsis Statistical Inference Based on Divergence Measures by : Leandro Pardo

Download or read book Statistical Inference Based on Divergence Measures written by Leandro Pardo and published by Chapman and Hall/CRC. This book was released on 2005-10-10 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea of using functionals of Information Theory, such as entropies or divergences, in statistical inference is not new. However, in spite of the fact that divergence statistics have become a very good alternative to the classical likelihood ratio test and the Pearson-type statistic in discrete models, many statisticians remain unaware of this powerful approach. Statistical Inference Based on Divergence Measures explores classical problems of statistical inference, such as estimation and hypothesis testing, on the basis of measures of entropy and divergence. The first two chapters form an overview, from a statistical perspective, of the most important measures of entropy and divergence and study their properties. The author then examines the statistical analysis of discrete multivariate data with emphasis is on problems in contingency tables and loglinear models using phi-divergence test statistics as well as minimum phi-divergence estimators. The final chapter looks at testing in general populations, presenting the interesting possibility of introducing alternative test statistics to classical ones like Wald, Rao, and likelihood ratio. Each chapter concludes with exercises that clarify the theoretical results and present additional results that complement the main discussions. Clear, comprehensive, and logically developed, this book offers a unique opportunity to gain not only a new perspective on some standard statistics problems, but the tools to put it into practice.

Information Theory and Statistics

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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.

Handbook of Pattern Recognition and Computer Vision (5th Edition)

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Publisher : World Scientific
ISBN 13 : 9814656534
Total Pages : 582 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Handbook of Pattern Recognition and Computer Vision (5th Edition) by : Chi-hau Chen

Download or read book Handbook of Pattern Recognition and Computer Vision (5th Edition) written by Chi-hau Chen and published by World Scientific. This book was released on 2015-12-15 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides an up-to-date and authoritative treatment of pattern recognition and computer vision, with chapters written by leaders in the field. On the basic methods in pattern recognition and computer vision, topics range from statistical pattern recognition to array grammars to projective geometry to skeletonization, and shape and texture measures. Recognition applications include character recognition and document analysis, detection of digital mammograms, remote sensing image fusion, and analysis of functional magnetic resonance imaging data, etc.

Statistical Topics and Stochastic Models for Dependent Data with Applications

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Publisher : John Wiley & Sons
ISBN 13 : 1786306034
Total Pages : 288 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Statistical Topics and Stochastic Models for Dependent Data with Applications by : Vlad Stefan Barbu

Download or read book Statistical Topics and Stochastic Models for Dependent Data with Applications written by Vlad Stefan Barbu and published by John Wiley & Sons. This book was released on 2020-12-03 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collective volume authored by leading scientists in the field of stochastic modelling, associated statistical topics and corresponding applications. The main classes of stochastic processes for dependent data investigated throughout this book are Markov, semi-Markov, autoregressive and piecewise deterministic Markov models. The material is divided into three parts corresponding to: (i) Markov and semi-Markov processes, (ii) autoregressive processes and (iii) techniques based on divergence measures and entropies. A special attention is payed to applications in reliability, survival analysis and related fields.

Advances in Data Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 0817647996
Total Pages : 368 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Advances in Data Analysis by : Christos H. Skiadas

Download or read book Advances in Data Analysis written by Christos H. Skiadas and published by Springer Science & Business Media. This book was released on 2009-11-25 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unified volume is a collection of invited chapters presenting recent developments in the field of data analysis, with applications to reliability and inference, data mining, bioinformatics, lifetime data, and neural networks. The book is a useful reference for graduate students, researchers, and practitioners in statistics, mathematics, engineering, economics, social science, bioengineering, and bioscience.

Advances in Inequalities from Probability Theory and Statistics

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Publisher : Nova Publishers
ISBN 13 : 9781600219436
Total Pages : 244 pages
Book Rating : 4.2/5 (194 download)

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Book Synopsis Advances in Inequalities from Probability Theory and Statistics by : Neil S. Barnett

Download or read book Advances in Inequalities from Probability Theory and Statistics written by Neil S. Barnett and published by Nova Publishers. This book was released on 2008 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first in a series of research monographs that focus on the research, development and use of inequalities in probability and statistics. All of the papers have been peer refereed and this first edition covers a range of topics that include both survey material of published work as well as new results appearing in print for the first time.

Entropy and Information Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1441979700
Total Pages : 409 pages
Book Rating : 4.4/5 (419 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 2011-01-27 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an updated version of the information theory classic, first published in 1990. About one-third of the book is devoted to Shannon source and channel coding theorems; the remainder addresses sources, channels, and codes and on information and distortion measures and their properties. New in this edition: Expanded treatment of stationary or sliding-block codes and their relations to traditional block codes Expanded discussion of results from ergodic theory relevant to information theory Expanded treatment of B-processes -- processes formed by stationary coding memoryless sources New material on trading off information and distortion, including the Marton inequality New material on the properties of optimal and asymptotically optimal source codes New material on the relationships of source coding and rate-constrained simulation or modeling of random processes Significant material not covered in other information theory texts includes stationary/sliding-block codes, a geometric view of information theory provided by process distance measures, and general Shannon coding theorems for asymptotic mean stationary sources, which may be neither ergodic nor stationary, and d-bar continuous channels.

Fractional Order Systems and Applications in Engineering

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Publisher : Academic Press
ISBN 13 : 032390954X
Total Pages : 392 pages
Book Rating : 4.3/5 (239 download)

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Book Synopsis Fractional Order Systems and Applications in Engineering by : Dumitru Baleanu

Download or read book Fractional Order Systems and Applications in Engineering written by Dumitru Baleanu and published by Academic Press. This book was released on 2022-11-17 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractional Order Systems and Applications in Engineering presents the use of fractional calculus (calculus of non-integer order) in the description and modelling of systems and in a range of control design and practical applications. The book covers the fundamentals of fractional calculus together with some analytical and numerical techniques, and provides MATLAB® codes for the simulation of fractional-order control (FOC) systems. The use of fractional calculus can improve and generalize well-established control methods and strategies. Many different FOC schemes are presented for control and dynamic systems problems. These extend to the challenging control engineering design problems of robust and nonlinear control. Practical material relating to a wide variety of applications including, among others, mechatronics, civil engineering, irrigation and water management, and biological systems is also provided. All the control schemes and applications are presented with either system simulation results or real experimental results, or both. Fractional Order Systems and Applications in Engineering introduces readers to the essentials of FOC and imbues them with a basic understanding of FOC concepts and methods. With this knowledge readers can extend their use of FOC in other industrial system applications, thereby expanding their range of disciplines by exploiting this versatile new set of control techniques. Provides the most recent and up-to-date developments on the Fractional-order Systems and their analyzing process Integrates recent advancements of modeling of real phenomena (on Fractional-order Systems) via different-different mathematical equations with demonstrated applications in numerous seemingly diverse and widespread fields of science and engineering Provides readers with illustrative examples of how to use the presented theories of Fractional-order Systems in specific cases with associated MATLAB code

Quantitative Logic and Soft Computing

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Publisher : Springer Science & Business Media
ISBN 13 : 3642156606
Total Pages : 800 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Quantitative Logic and Soft Computing by : Bing-Yuan Cao

Download or read book Quantitative Logic and Soft Computing written by Bing-Yuan Cao and published by Springer Science & Business Media. This book was released on 2010-10-14 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt: Admittedly, the notion “intelligence or intelligent computing” has been around us for several decades, implicitly indicating any non-conventional methods of solving complex system problems such as expert systems and intelligent control techniques that mimic human skill and replace human operators for automation. Various kinds of intelligent methods have been suggested, phenomenological or ontological, and we have been witnessing quite successful applications. On the other hand, “Soft Computing Techniques” is the concept coined by Lot? Zadeh, referring to “a set of approaches of computing which parallels the remarkable ability of the human mind to reason and learn in an environment of uncertainty, imprecision and partial truth. ” Such a notion is well contrasted with the conventionalbinary logic based hard c- puting and has been effectively utilized with the guiding principle of “exploiting the tolerance for uncertainty,imprecision and partial truth to achieve tractability, - bustness and low solution cost. ” The soft computing techniques are often employed as the technical entities in a tool box with tools being FL, ANN, Rough Set, GA etc. Based on one’s intuition and experience, an engineer can build and realize hum- like systems by smartly mixing proper technical tools effectivelyand ef?ciently in a wide range of ?elds. For some time, the soft computing techniques are also referred to as intelligent computing tools.

Divergence Measures

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Publisher : Mdpi AG
ISBN 13 : 9783036543321
Total Pages : 256 pages
Book Rating : 4.5/5 (433 download)

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Book Synopsis Divergence Measures by : Igal Sason

Download or read book Divergence Measures written by Igal Sason and published by Mdpi AG. This book was released on 2022-06 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Data science, information theory, probability theory, statistical learning and other related disciplines greatly benefit from non-negative measures of dissimilarity between pairs of probability measures. These are known as divergence measures, and exploring their mathematical foundations and diverse applications is of significant interest. The present Special Issue, entitled "Divergence Measures: Mathematical Foundations and Applications in Information-Theoretic and Statistical Problems", includes eight original contributions, and it is focused on the study of the mathematical properties and applications of classical and generalized divergence measures from an information-theoretic perspective. It mainly deals with two key generalizations of the relative entropy: namely, the Rényi divergence and the important class of f -divergences. It is our hope that the readers will find interest in this Special Issue, which will stimulate further research in the study of the mathematical foundations and applications of divergence measures.

Advances in Imaging and Electron Physics

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Publisher : Gulf Professional Publishing
ISBN 13 : 9780120147809
Total Pages : 400 pages
Book Rating : 4.1/5 (478 download)

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Book Synopsis Advances in Imaging and Electron Physics by : Peter W. Hawkes

Download or read book Advances in Imaging and Electron Physics written by Peter W. Hawkes and published by Gulf Professional Publishing. This book was released on 2005-10-18 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Imaging and Electron Physics merges two long-running serials-Advances in Electronics and Electron Physics and Advances in Optical and Electron Microscopy. This series features extended articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science and digital image processing, electromagnetic wave propagation, electron microscopy, and the computing methods used in all these domains. - Discusses Spectral Color Spaces - Covers Phase Contrast Enhancement with Phase Plates in Electron Microscopy - Studies the Optical Properties of Gas Phase Field Ionization Sources - Looks at Symmetric and Nonsymmetric Divergence Measures and Their Generalizations - Describes the features and future of the International System of Units (SI) - Illustrates Importance Sampling Hough Transform

Basic Concepts in Information Theory and Statistics

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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.