Theory of Random Sets

Theory of Random Sets PDF

Author: Ilya Molchanov

Publisher: Springer Science & Business Media

Published: 2005-05-11

Total Pages: 508

ISBN-13: 9781852338923

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This is the first systematic exposition of random sets theory since Matheron (1975), with full proofs, exhaustive bibliographies and literature notes Interdisciplinary connections and applications of random sets are emphasized throughout the book An extensive bibliography in the book is available on the Web at http://liinwww.ira.uka.de/bibliography/math/random.closed.sets.html, and is accompanied by a search engine

Theory of Random Sets

Theory of Random Sets PDF

Author: Ilya Molchanov

Publisher: Springer Science & Business Media

Published: 2005-11-28

Total Pages: 501

ISBN-13: 1846281504

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This is the first systematic exposition of random sets theory since Matheron (1975), with full proofs, exhaustive bibliographies and literature notes Interdisciplinary connections and applications of random sets are emphasized throughout the book An extensive bibliography in the book is available on the Web at http://liinwww.ira.uka.de/bibliography/math/random.closed.sets.html, and is accompanied by a search engine

Random Sets

Random Sets PDF

Author: John Goutsias

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 417

ISBN-13: 1461219426

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This IMA Volume in Mathematics and its Applications RANDOM SETS: THEORY AND APPLICATIONS is based on the proceedings of a very successful 1996 three-day Summer Program on "Application and Theory of Random Sets." We would like to thank the scientific organizers: John Goutsias (Johns Hopkins University), Ronald P.S. Mahler (Lockheed Martin), and Hung T. Nguyen (New Mexico State University) for their excellent work as organizers of the meeting and for editing the proceedings. We also take this opportunity to thank the Army Research Office (ARO), the Office ofNaval Research (0NR), and the Eagan, MinnesotaEngineering Center ofLockheed Martin Tactical Defense Systems, whose financial support made the summer program possible. Avner Friedman Robert Gulliver v PREFACE "Later generations will regard set theory as a disease from which one has recovered. " - Henri Poincare Random set theory was independently conceived by D.G. Kendall and G. Matheron in connection with stochastic geometry. It was however G.

An Introduction to Random Sets

An Introduction to Random Sets PDF

Author: Hung T. Nguyen

Publisher: CRC Press

Published: 2006-03-27

Total Pages: 268

ISBN-13: 1420010611

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The study of random sets is a large and rapidly growing area with connections to many areas of mathematics and applications in widely varying disciplines, from economics and decision theory to biostatistics and image analysis. The drawback to such diversity is that the research reports are scattered throughout the literature, with the result that i

Advances In Theory And Applications Of Random Sets: Proceedings Of The Symposium

Advances In Theory And Applications Of Random Sets: Proceedings Of The Symposium PDF

Author: Dominique Jeulin

Publisher: World Scientific

Published: 1997-01-16

Total Pages: 338

ISBN-13: 9814546658

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This volume covers topics ranging from pure and applied mathematics to pedagogical issues in mathematics. There are papers in mathematical biology, differential equations, difference equations, dynamical systems, orthogonal polynomials, topology, calculus reform, algebra, and numerical analysis. Most of the papers include new, interesting results that are at the cutting edge of the respective subjects. However, there are some papers of an expository nature.

Random Sets in Econometrics

Random Sets in Econometrics PDF

Author: Ilya Molchanov

Publisher: Cambridge University Press

Published: 2018-04-05

Total Pages: 199

ISBN-13: 1108651356

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Random set theory is a fascinating branch of mathematics that amalgamates techniques from topology, convex geometry, and probability theory. Social scientists routinely conduct empirical work with data and modelling assumptions that reveal a set to which the parameter of interest belongs, but not its exact value. Random set theory provides a coherent mathematical framework to conduct identification analysis and statistical inference in this setting and has become a fundamental tool in econometrics and finance. This is the first book dedicated to the use of the theory in econometrics, written to be accessible for readers without a background in pure mathematics. Molchanov and Molinari define the basics of the theory and illustrate the mathematical concepts by their application in the analysis of econometric models. The book includes sets of exercises to accompany each chapter as well as examples to help readers apply the theory effectively.

Studies in the Theory of Random Processes

Studies in the Theory of Random Processes PDF

Author: A. V. Skorokhod

Publisher: Courier Corporation

Published: 2014-07-28

Total Pages: 208

ISBN-13: 0486781461

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Three-part treatment introduces basics plus theory of stochastic differential equations and various limit theorems connected with convergence of sequence of Markov chains to Markov process with continuous time. 1965 edition.

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