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Measures of Information and Their Applications

Measures of Information and Their Applications
Author: J. N. Kapur
Publisher: Wiley-Interscience
Total Pages: 572
Release: 1994-12-06
Genre: Mathematics
ISBN: 9780470220641

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Delves into entropy optimization principles, offering new insights into their applications. Novel concepts are illustrated with figures and numerical examples. Also presents applications to ecological sciences. The standards and information discussed fill numerous gaps in existing literature.


Entropy Measures, Maximum Entropy Principle and Emerging Applications

Entropy Measures, Maximum Entropy Principle and Emerging Applications
Author: Karmeshu
Publisher: Springer
Total Pages: 300
Release: 2012-10-01
Genre: Technology & Engineering
ISBN: 3540362126

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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.


Random Measures, Theory and Applications

Random Measures, Theory and Applications
Author: Olav Kallenberg
Publisher: Springer
Total Pages: 680
Release: 2017-04-12
Genre: Mathematics
ISBN: 3319415980

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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.


Quantum Measurement Theory and its Applications

Quantum Measurement Theory and its Applications
Author: Kurt Jacobs
Publisher: Cambridge University Press
Total Pages: 729
Release: 2014-08-14
Genre: Science
ISBN: 1139992198

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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.


Measure Theory and its Applications

Measure Theory and its Applications
Author: J.M. Belley
Publisher: Springer
Total Pages: 335
Release: 2006-12-08
Genre: Mathematics
ISBN: 3540386904

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

Cosine Measures of Linguistic Neutrosophic Numbers and Their Application in Multiple Attribute Group Decision-Making
Author: Lilian Shi
Publisher: Infinite Study
Total Pages:
Release:
Genre:
ISBN:

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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.


Applications of Measure Theory to Statistics

Applications of Measure Theory to Statistics
Author: Gogi Pantsulaia
Publisher: Springer
Total Pages: 134
Release: 2016-12-22
Genre: Mathematics
ISBN: 3319455788

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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.


Measurement Theory and Applications for the Social Sciences

Measurement Theory and Applications for the Social Sciences
Author: Deborah L. Bandalos
Publisher: Guilford Publications
Total Pages: 686
Release: 2018-01-31
Genre: Social Science
ISBN: 1462532136

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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


Entropy Measures for Plithogenic Sets and Applications in Multi-Attribute Decision Making

Entropy Measures for Plithogenic Sets and Applications in Multi-Attribute Decision Making
Author: Shio Gai Quek
Publisher: Infinite Study
Total Pages: 17
Release:
Genre: Mathematics
ISBN:

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Plithogenic set is an extension of the crisp set, fuzzy set, intuitionistic fuzzy set, and neutrosophic sets, whose elements are characterized by one or more attributes, and each attribute can assume many values. Each attribute has a corresponding degree of appurtenance of the element to the set with respect to the given criteria. In order to obtain a better accuracy and for a more exact exclusion (partial order), a contradiction or dissimilarity degree is defined between each attribute value and the dominant attribute value. In this paper, entropy measures for plithogenic sets have been introduced.