Measures Of Information And Their Applications

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Quantum Measurement Theory and its Applications

Author : Kurt Jacobs
Publisher : Cambridge University Press
ISBN 13 : 1139992198
Total Pages : 729 pages
Book Rating : 4.1/5 (399 download)

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Book Synopsis Quantum Measurement Theory and its Applications by : Kurt Jacobs

Download or read book Quantum Measurement Theory and its Applications written by Kurt Jacobs and published by Cambridge University Press. This book was released on 2014-08-14 with total page 729 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent experimental advances in the control of quantum superconducting circuits, nano-mechanical resonators and photonic crystals has meant that quantum measurement theory is now an indispensable part of the modelling and design of experimental technologies. This book, aimed at graduate students and researchers in physics, gives a thorough introduction to the basic theory of quantum measurement and many of its important modern applications. Measurement and control is explicitly treated in superconducting circuits and optical and opto-mechanical systems, and methods for deriving the Hamiltonians of superconducting circuits are introduced in detail. Further applications covered include feedback control, metrology, open systems and thermal environments, Maxwell's demon, and the quantum-to-classical transition.

Entropy Measures, Maximum Entropy Principle and Emerging Applications

Author : Karmeshu
Publisher : Springer
ISBN 13 : 3540362126
Total Pages : 300 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Entropy Measures, Maximum Entropy Principle and Emerging Applications by : Karmeshu

Download or read book Entropy Measures, Maximum Entropy Principle and Emerging Applications written by Karmeshu and published by Springer. This book was released on 2012-10-01 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last two decades have witnessed an enormous growth with regard to ap plications of information theoretic framework in areas of physical, biological, engineering and even social sciences. In particular, growth has been spectac ular in the field of information technology,soft computing,nonlinear systems and molecular biology. Claude Shannon in 1948 laid the foundation of the field of information theory in the context of communication theory. It is in deed remarkable that his framework is as relevant today as was when he 1 proposed it. Shannon died on Feb 24, 2001. Arun Netravali observes "As if assuming that inexpensive, high-speed processing would come to pass, Shan non figured out the upper limits on communication rates. First in telephone channels, then in optical communications, and now in wireless, Shannon has had the utmost value in defining the engineering limits we face". Shannon introduced the concept of entropy. The notable feature of the entropy frame work is that it enables quantification of uncertainty present in a system. In many realistic situations one is confronted only with partial or incomplete information in the form of moment, or bounds on these values etc. ; and it is then required to construct a probabilistic model from this partial information. In such situations, the principle of maximum entropy provides a rational ba sis for constructing a probabilistic model. It is thus necessary and important to keep track of advances in the applications of maximum entropy principle to ever expanding areas of knowledge.

Measures of Information and Their Applications

Author : Jagat Narain Kapur
Publisher : New Age International
ISBN 13 :
Total Pages : 592 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Measures of Information and Their Applications by : Jagat Narain Kapur

Download or read book Measures of Information and Their Applications written by Jagat Narain Kapur and published by New Age International. This book was released on 1994 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book may be regarded as a successor of author's Maximum Entropy Models in Science and Engineering (Wiley), Generalized Maximum Entropy Principle (Sandford), Entropy Optimization Principles and Their Applications (Academic) and Insight into Entropy Optimizations Principles (MSTS). It contains sixty research investigations of the author on measures of entropy, directed divergence, weighted directed divergence, information, principles of maximum entropy, minimum entropy, minimum cross-entropy, minimum entropy, minimum information, minimum weighted information and maximum weighted entropy, most likely and most feasible distributions, duals of optimization problems, entropy optimization under inequality constraints, characterising moments, parameter estimation, maximum entropy approximation for a probability distribution, proving inequalities, laws of information, entropic mean, mean-entropy frontier, logistic-type growth models, birth-death processes, distributions of statistical mechanics, estimation of missing values, theorems of information theory and many others.

Applications of Measure Theory to Statistics

Author : Gogi Pantsulaia
Publisher : Springer
ISBN 13 : 3319455788
Total Pages : 147 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Applications of Measure Theory to Statistics by : Gogi Pantsulaia

Download or read book Applications of Measure Theory to Statistics written by Gogi Pantsulaia and published by Springer. This book was released on 2016-12-22 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to put strong reasonable mathematical senses in notions of objectivity and subjectivity for consistent estimations in a Polish group by using the concept of Haar null sets in the corresponding group. This new approach – naturally dividing the class of all consistent estimates of an unknown parameter in a Polish group into disjoint classes of subjective and objective estimates – helps the reader to clarify some conjectures arising in the criticism of null hypothesis significance testing. The book also acquaints readers with the theory of infinite-dimensional Monte Carlo integration recently developed for estimation of the value of infinite-dimensional Riemann integrals over infinite-dimensional rectangles. The book is addressed both to graduate students and to researchers active in the fields of analysis, measure theory, and mathematical statistics.

Conditional Measures and Applications

Author : M.M. Rao
Publisher : CRC Press
ISBN 13 : 1420027433
Total Pages : 506 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Conditional Measures and Applications by : M.M. Rao

Download or read book Conditional Measures and Applications written by M.M. Rao and published by CRC Press. This book was released on 2005-05-25 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: In response to unanswered difficulties in the generalized case of conditional expectation and to treat the topic in a well-deservedly thorough manner, M.M. Rao gave us the highly successful first edition of Conditional Measures and Applications. Until this groundbreaking work, conditional probability was relegated to scattered journal articles and

Measures of Information and Their Applications to Various Disciplines

Author : O.K. Belwal
Publisher : LAP Lambert Academic Publishing
ISBN 13 : 9783659479304
Total Pages : 164 pages
Book Rating : 4.4/5 (793 download)

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Book Synopsis Measures of Information and Their Applications to Various Disciplines by : O.K. Belwal

Download or read book Measures of Information and Their Applications to Various Disciplines written by O.K. Belwal and published by LAP Lambert Academic Publishing. This book was released on 2013 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book provides the applications of uncertain measures to the field of queueing theory for measuring variations in steady and non-steady birth-death process. Moreover, we have given the applications of probabilistic measures by studying the maximum entropy principle. Another field of interest is the theory of coding which deals with probability distributions only but we have extended the idea to fuzzy distributions by proving new fuzzy coding theorems corresponding to the well-known measures of weighted fuzzy entropy. The book also deals with the applications of measures of entropy for the study of contingency tables and thus provides applications to the field of statistics. I sincerely hope that the present volume of the book will be useful to all those interested in information measures and their applications in a variety of disciplines. Moreover, it will be a source of inspiration and encouragement to research scholars and teachers to discourse the subject for the discovery of new insights.

Random Measures, Theory and Applications

Author : Olav Kallenberg
Publisher : Springer
ISBN 13 : 3319415980
Total Pages : 706 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Random Measures, Theory and Applications by : Olav Kallenberg

Download or read book Random Measures, Theory and Applications written by Olav Kallenberg and published by Springer. This book was released on 2017-04-12 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offering the first comprehensive treatment of the theory of random measures, this book has a very broad scope, ranging from basic properties of Poisson and related processes to the modern theories of convergence, stationarity, Palm measures, conditioning, and compensation. The three large final chapters focus on applications within the areas of stochastic geometry, excursion theory, and branching processes. Although this theory plays a fundamental role in most areas of modern probability, much of it, including the most basic material, has previously been available only in scores of journal articles. The book is primarily directed towards researchers and advanced graduate students in stochastic processes and related areas.

Measure Theory and its Applications

Author : J.M. Belley
Publisher : Springer
ISBN 13 : 3540386904
Total Pages : 335 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Measure Theory and its Applications by : J.M. Belley

Download or read book Measure Theory and its Applications written by J.M. Belley and published by Springer. This book was released on 2006-12-08 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: a

Measurement Theory and Applications for the Social Sciences

Author : Deborah L. Bandalos
Publisher : Guilford Publications
ISBN 13 : 1462532136
Total Pages : 686 pages
Book Rating : 4.4/5 (625 download)

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Book Synopsis Measurement Theory and Applications for the Social Sciences by : Deborah L. Bandalos

Download or read book Measurement Theory and Applications for the Social Sciences written by Deborah L. Bandalos and published by Guilford Publications. This book was released on 2018-01-31 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: Which types of validity evidence should be considered when determining whether a scale is appropriate for a given measurement situation? What about reliability evidence? Using clear explanations illustrated by examples from across the social and behavioral sciences, this engaging text prepares students to make effective decisions about the selection, administration, scoring, interpretation, and development of measurement instruments. Coverage includes the essential measurement topics of scale development, item writing and analysis, and reliability and validity, as well as more advanced topics such as exploratory and confirmatory factor analysis, item response theory, diagnostic classification models, test bias and fairness, standard setting, and equating. End-of-chapter exercises (with answers) emphasize both computations and conceptual understanding to encourage readers to think critically about the material. ÿ

Measurement and Probability

Author : Giovanni Battista Rossi
Publisher : Springer
ISBN 13 : 9401788251
Total Pages : 288 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Measurement and Probability by : Giovanni Battista Rossi

Download or read book Measurement and Probability written by Giovanni Battista Rossi and published by Springer. This book was released on 2014-05-19 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Measurement plays a fundamental role both in physical and behavioral sciences, as well as in engineering and technology: it is the link between abstract models and empirical reality and is a privileged method of gathering information from the real world. Is it possible to develop a single theory of measurement for the various domains of science and technology in which measurement is involved? This book takes the challenge by addressing the following main issues: What is the meaning of measurement? How do we measure? What can be measured? A theoretical framework that could truly be shared by scientists in different fields, ranging from physics and engineering to psychology is developed. The future in fact will require greater collaboration between science and technology and between different sciences. Measurement, which played a key role in the birth of modern science, can act as an essential interdisciplinary tool and language for this new scenario. A sound theoretical basis for addressing key problems in measurement is provided. These include perceptual measurement, the evaluation of uncertainty, the evaluation of inter-comparisons, the analysis of risks in decision-making and the characterization of dynamical measurement. Currently, increasing attention is paid to these issues due to their scientific, technical, economic and social impact. The book proposes a unified probabilistic approach to them which may allow more rational and effective solutions to be reached. Great care was taken to make the text as accessible as possible in several ways. Firstly, by giving preference to as interdisciplinary a terminology as possible; secondly, by carefully defining and discussing all key terms. This ensures that a wide readership, including people from different mathematical backgrounds and different understandings of measurement can all benefit from this work. Concerning mathematics, all the main results are preceded by intuitive discussions and illustrated by simple examples. Moreover, precise proofs are always included in order to enable the more demanding readers to make conscious and creative use of these ideas, and also to develop new ones. The book demonstrates that measurement, which is commonly understood to be a merely experimental matter, poses theoretical questions which are no less challenging than those arising in other, apparently more theoretical, disciplines.

Weighted Sub-Additive Information Measures and Their Applications

Author : Satish Kumar
Publisher : LAP Lambert Academic Publishing
ISBN 13 : 9783659198205
Total Pages : 120 pages
Book Rating : 4.1/5 (982 download)

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Book Synopsis Weighted Sub-Additive Information Measures and Their Applications by : Satish Kumar

Download or read book Weighted Sub-Additive Information Measures and Their Applications written by Satish Kumar and published by LAP Lambert Academic Publishing. This book was released on 2012-08 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Information theory is a branch of applied Mathematics-statistics and operations Research. In the era of internet, every walk of life has been traped by the word 'Information' removal of uncertainty or entropy, Information theory includes information processing, information storage, information retrieved and decision making. In a narrow sense, information theory studies all theoritical problems concerned with the transmission of information over communication channels. This includes the studies of uncertainty (information) measure and various practical and economical methods of coding information for transmission. In this book a study of parametric R-norm Information measures, Unified (r, s) weighted information measures and their inequalities, W-majorization and some propositions connected with weighted information measures, Shannon-Gibbs type inequalities and convexities some well known inequalities like Jenson, Holder's, Minkowski's have been connected with different measures and Sub-additive measures of information has been presented.

Capturing the Digital Economy—A Proposed Measurement Framework and Its Applications

Author : Asian Development Bank
Publisher : Asian Development Bank
ISBN 13 : 9292690078
Total Pages : 215 pages
Book Rating : 4.2/5 (926 download)

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Book Synopsis Capturing the Digital Economy—A Proposed Measurement Framework and Its Applications by : Asian Development Bank

Download or read book Capturing the Digital Economy—A Proposed Measurement Framework and Its Applications written by Asian Development Bank and published by Asian Development Bank. This book was released on 2021-08-01 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: This publication sets out a framework for measuring the importance of the digital economy in national and global production processes. Amid the growing interest in the digitalization of socioeconomic activities, there is a lack of consensus on an established framework to estimate the digital economy. This report proposes a definition of the core digital economy and an input-output analytical framework to measure it. Applying this framework to selected economies and years, it finds that the digital economy and digitally dependent industries contribute a significant portion of gross domestic product. It examines key digital economy phenomena and trends in relation to sectoral links, temporal price changes, jobs, global value chains, the COVID-19 pandemic, and Industry 4.0.

Cosine Measures of Linguistic Neutrosophic Numbers and Their Application in Multiple Attribute Group Decision-Making

Author : Lilian Shi
Publisher : Infinite Study
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4./5 ( download)

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Book Synopsis Cosine Measures of Linguistic Neutrosophic Numbers and Their Application in Multiple Attribute Group Decision-Making by : Lilian Shi

Download or read book Cosine Measures of Linguistic Neutrosophic Numbers and Their Application in Multiple Attribute Group Decision-Making written by Lilian Shi and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: The linguistic neutrosophic numbers (LNNs) can express the truth, indeterminacy, and falsity degrees independently by three linguistic variables. Hence, they are an effective tool for describing indeterminate linguistic information under linguistic decision-making environments. Similarity measures are usual tools in decision-making problems.

Divergence Measure of Neutrosophic Sets and Applications

Author : Nguyen Xuan Thao
Publisher : Infinite Study
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4./5 ( download)

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Book Synopsis Divergence Measure of Neutrosophic Sets and Applications by : Nguyen Xuan Thao

Download or read book Divergence Measure of Neutrosophic Sets and Applications written by Nguyen Xuan Thao and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we first propose the concept of divergence measure on neutrosophic sets. We also provide some formulas for the divergence measure for neutrosophic sets. After that, we investigate the properties of proposed neutrosophic divergence measure. Finally, we also apply these formulas in medical problem and the classification problem.

Measures of Probabilistic Neutrosophic Hesitant Fuzzy Sets and the Application in Reducing Unnecessary Evaluation Processes

Author : Songtao Shao
Publisher : Infinite Study
ISBN 13 :
Total Pages : 23 pages
Book Rating : 4./5 ( download)

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Book Synopsis Measures of Probabilistic Neutrosophic Hesitant Fuzzy Sets and the Application in Reducing Unnecessary Evaluation Processes by : Songtao Shao

Download or read book Measures of Probabilistic Neutrosophic Hesitant Fuzzy Sets and the Application in Reducing Unnecessary Evaluation Processes written by Songtao Shao and published by Infinite Study. This book was released on with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: Distance measure and similarity measure have been applied to various multi-criteria decision-making environments, like talent selections, fault diagnoses and so on. Some improved distance and similarity measures have been proposed by some researchers. However, hesitancy is reflected in all aspects of life, thus the hesitant information needs to be considered in measures. Then, it can effectively avoid the loss of fuzzy information.

Some Generalized Dice Measures for Double-Valued Neutrosophic Sets and Their Applications

Author : Qaisar Khan
Publisher : Infinite Study
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4./5 ( download)

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Book Synopsis Some Generalized Dice Measures for Double-Valued Neutrosophic Sets and Their Applications by : Qaisar Khan

Download or read book Some Generalized Dice Measures for Double-Valued Neutrosophic Sets and Their Applications written by Qaisar Khan and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic sets (NSs) are used to illustrate uncertain, inconsistent, and indeterminate information existing in real-world problems. Double-valued neutrosophic sets (DVNSs) are an alternate form of NSs, in which the indeterminacy has two distinct parts: indeterminacy leaning toward truth membership, and indeterminacy leaning toward falsity membership. The aim of this article is to propose novel Dice measures and generalized Dice measures for DVNSs, and to specify Dice measures and asymmetric measures (projection measures) as special cases of generalized Dice measures via specific parameter values. Finally, the proposed generalized Dice measures and generalized weighted Dice measures were applied to pattern recognition and medical diagnosis to show their effectiveness.

Testing and Measurement: Techniques and Applications

Author : Kennis Chan
Publisher : CRC Press
ISBN 13 : 1315684934
Total Pages : 478 pages
Book Rating : 4.3/5 (156 download)

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Book Synopsis Testing and Measurement: Techniques and Applications by : Kennis Chan

Download or read book Testing and Measurement: Techniques and Applications written by Kennis Chan and published by CRC Press. This book was released on 2015-06-11 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Testing and Measurement: Techniques and Applications is divided into 6 sections: Microwave, Ultrasonic and Acoustic Measurement and Application; Material Performance and Measuring and Testing Technique; Laser, Optics Fiber and Sensor; Industrial Autoimmunization and Measurement; Artificial Intelligence and Application; and Image, Signal and In