Random Sets

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Random Sets

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Author : John Goutsias
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Random Sets written by John Goutsias and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

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.

Random Sets And Random Fuzzy Sets As Ill Perceived Random Variables

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Author : Inés Couso
language : en
Publisher: Springer
Release Date : 2014-07-22

Random Sets And Random Fuzzy Sets As Ill Perceived Random Variables written by Inés Couso and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-22 with Technology & Engineering categories.

This short book provides a unified view of the history and theory of random sets and fuzzy random variables, with special emphasis on its use for representing higher-order non-statistical uncertainty about statistical experiments. The authors lay bare the existence of two streams of works using the same mathematical ground, but differing form their use of sets, according to whether they represent objects of interest naturally taking the form of sets, or imprecise knowledge about such objects. Random (fuzzy) sets can be used in many fields ranging from mathematical morphology, economics, artificial intelligence, information processing and statistics per se, especially in areas where the outcomes of random experiments cannot be observed with full precision. This book also emphasizes the link between random sets and fuzzy sets with some techniques related to the theory of imprecise probabilities. This small book is intended for graduate and doctoral students in mathematics or engineering, but also provides an introduction for other researchers interested in this area. It is written from a theoretical perspective. However, rather than offering a comprehensive formal view of random (fuzzy) sets in this context, it aims to provide a discussion of the meaning of the proposed formal constructions based on many concrete examples and exercises. This book should enable the reader to understand the usefulness of representing and reasoning with incomplete information in statistical tasks. Each chapter ends with a list of exercises.

Theory Of Random Sets

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Author : Ilya Molchanov
language : en
Publisher: Springer
Release Date : 2017-12-14

Theory Of Random Sets written by Ilya Molchanov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-14 with Mathematics categories.

This monograph, now in a thoroughly revised second edition, offers the latest research on random sets. It has been extended to include substantial developments achieved since 2005, some of them motivated by applications of random sets to econometrics and finance. The present volume builds on the foundations laid by Matheron and others, including the vast advances in stochastic geometry, probability theory, set-valued analysis, and statistical inference. It shows the various interdisciplinary relationships of random set theory within other parts of mathematics, and at the same time fixes terminology and notation that often vary in the literature, establishing it as a natural part of modern probability theory and providing a platform for future development. It is completely self-contained, systematic and exhaustive, with the full proofs that are necessary to gain insight. Aimed at research level, Theory of Random Sets will be an invaluable reference for probabilists; mathematicians working in convex and integral geometry, set-valued analysis, capacity and potential theory; mathematical statisticians in spatial statistics and uncertainty quantification; specialists in mathematical economics, econometrics, decision theory, and mathematical finance; and electronic and electrical engineers interested in image analysis.

Random Sets In Econometrics

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Author : Ilya Molchanov
language : en
Publisher: Cambridge University Press
Release Date : 2018-04-12

Random Sets In Econometrics written by Ilya Molchanov and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-12 with Business & Economics categories.

This is the first full-length study of how the theory of random sets can be applied in econometrics.

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

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Author : Dominique Jeulin
language : en
Publisher: World Scientific
Release Date : 1997-01-16

Advances In Theory And Applications Of Random Sets Proceedings Of The Symposium written by Dominique Jeulin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-16 with categories.

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.

Theory Of Random Sets

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Author : Ilya Molchanov
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-05-11

Theory Of Random Sets written by Ilya Molchanov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-05-11 with Mathematics categories.

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

Inferential Models

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Author : Ryan Martin
language : en
Publisher: CRC Press
Release Date : 2015-09-25

Inferential Models written by Ryan Martin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-25 with Mathematics categories.

A New Approach to Sound Statistical ReasoningInferential Models: Reasoning with Uncertainty introduces the authors' recently developed approach to inference: the inferential model (IM) framework. This logical framework for exact probabilistic inference does not require the user to input prior information. The authors show how an IM produces meaning

Random Graphs

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Author : Svante Janson
language : en
Publisher: John Wiley & Sons
Release Date : 2011-09-30

Random Graphs written by Svante Janson and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-30 with Mathematics categories.

A unified, modern treatment of the theory of random graphs-including recent results and techniques Since its inception in the 1960s, the theory of random graphs has evolved into a dynamic branch of discrete mathematics. Yet despite the lively activity and important applications, the last comprehensive volume on the subject is Bollobas's well-known 1985 book. Poised to stimulate research for years to come, this new work covers developments of the last decade, providing a much-needed, modern overview of this fast-growing area of combinatorics. Written by three highly respected members of the discrete mathematics community, the book incorporates many disparate results from across the literature, including results obtained by the authors and some completely new results. Current tools and techniques are also thoroughly emphasized. Clear, easily accessible presentations make Random Graphs an ideal introduction for newcomers to the field and an excellent reference for scientists interested in discrete mathematics and theoretical computer science. Special features include: * A focus on the fundamental theory as well as basic models of random graphs * A detailed description of the phase transition phenomenon * Easy-to-apply exponential inequalities for large deviation bounds * An extensive study of the problem of containing small subgraphs * Results by Bollobas and others on the chromatic number of random graphs * The result by Robinson and Wormald on the existence of Hamilton cycles in random regular graphs * A gentle introduction to the zero-one laws * Ample exercises, figures, and bibliographic references

Multiple Criteria Decision Making

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Author : G.H. Tzeng
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Multiple Criteria Decision Making written by G.H. Tzeng and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.

It was a great honor and privilege to organize the Tenth International Conference on Multiple Criteria Decision Making at Taipei, Taiwan, July 19-24, 1992. Accompanying this unique honor and privilege there was a series of complex, challenging problems. Each of them involved multiple criteria, fuzziness, uncertainty, unknown yet dynamic changes. The problem sometimes cost us sleep because we wanted to do the very best job, but in reality it seemed to be impossible. The following are the main goals of the organization committee: (i) inviting all prominent and distinguished MCDM scholars around the world to participate in the conference and to present their up-to-date research results, (ii) providing financial aid and hospitality so that each invited speaker can have free room and board at a five star hotel, (iii) creating an environment so that all participants can freely exchange their ideas, and build friendships around the world. Due to the enthusiastic participation of the prominent scholars, the generous support of the Taiwan government, universities, the Industrial leaders and nonprofit foundations, and the active problem solving attitude and doing of the organizational committee and the Habitual Domain (HD) club, the conference was a great success.

An Introduction To Random Sets

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Author : Hung T. Nguyen
language : en
Publisher: CRC Press
Release Date : 2006-03-27

An Introduction To Random Sets written by Hung T. Nguyen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-27 with Mathematics categories.

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