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

New Developments in Statistical Information Theory Based on Entropy and Divergence Measures PDF Author: Leandro Pardo
Publisher: MDPI
ISBN: 3038979368
Category : Social Science
Languages : en
Pages : 344

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Book Description
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

New Developments in Statistical Information Theory Based on Entropy and Divergence Measures PDF Author: Leandro Pardo
Publisher: MDPI
ISBN: 3038979368
Category : Social Science
Languages : en
Pages : 344

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Book Description
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.

Information Theory and Statistics

Information Theory and Statistics PDF Author: Solomon Kullback
Publisher: Courier Corporation
ISBN: 0486142043
Category : Mathematics
Languages : en
Pages : 436

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Book Description
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

Statistical Inference Based on Divergence Measures PDF Author: Leandro Pardo
Publisher: CRC Press
ISBN: 1420034812
Category : Mathematics
Languages : en
Pages : 513

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Book Description
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

Advances in Imaging and Electron Physics

Advances in Imaging and Electron Physics PDF Author: Peter W. Hawkes
Publisher: Gulf Professional Publishing
ISBN: 9780120147809
Category : Computers
Languages : en
Pages : 400

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Book Description
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

Advances in Imaging and Electron Physics

Advances in Imaging and Electron Physics PDF Author:
Publisher: Academic Press
ISBN: 0080577571
Category : Technology & Engineering
Languages : en
Pages : 313

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Book Description
Advances in Imaging and Electron Physics

Information Theory and Statistics

Information Theory and Statistics PDF Author: Imre Csiszár
Publisher: Now Publishers Inc
ISBN: 9781933019055
Category : Computers
Languages : en
Pages : 128

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Book Description
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.

Quantitative Logic and Soft Computing

Quantitative Logic and Soft Computing PDF Author: Bing-Yuan Cao
Publisher: Springer Science & Business Media
ISBN: 3642156606
Category : Technology & Engineering
Languages : en
Pages : 810

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Book Description
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.

Fractional Order Systems and Applications in Engineering

Fractional Order Systems and Applications in Engineering PDF Author: Dumitru Baleanu
Publisher: Academic Press
ISBN: 032390954X
Category : Science
Languages : en
Pages : 392

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Book Description
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

Computational Intelligence in Sustainable Reliability Engineering

Computational Intelligence in Sustainable Reliability Engineering PDF Author: S. C. Malik
Publisher: John Wiley & Sons
ISBN: 1119865409
Category : Technology & Engineering
Languages : en
Pages : 356

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Book Description
COMPUTATIONAL INTELLIGENCE IN SUBSTAINABLE RELIABILITY ENGINEERING The book is a comprehensive guide on how to apply computational intelligence techniques for the optimization of sustainable materials and reliability engineering. This book focuses on developing and evolving advanced computational intelligence algorithms for the analysis of data involved in reliability engineering, material design, and manufacturing to ensure sustainability. Computational Intelligence in Sustainable Reliability Engineering unveils applications of different models of evolutionary algorithms in the field of optimization and solves the problems to help the manufacturing industries. Some special features of this book include a comprehensive guide for utilizing computational models for reliability engineering, state-of-the-art swarm intelligence methods for solving manufacturing processes and developing sustainable materials, high-quality and innovative research contributions, and a guide for applying computational optimization on reliability and maintainability theory. The book also includes dedicated case studies of real-life applications related to industrial optimizations. Audience Researchers, industry professionals, and post-graduate students in reliability engineering, manufacturing, materials, and design.

Inequality Theory and Applications.

Inequality Theory and Applications. PDF Author:
Publisher: Nova Publishers
ISBN: 9781594548758
Category : Inequalities (Mathematics)
Languages : en
Pages : 202

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Book Description