Multiparameter Processes

Multiparameter Processes

Author: Davar Khoshnevisan

Publisher: Springer Science & Business Media

Published: 2006-04-10

Total Pages: 590

ISBN-13: 0387216316

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Self-contained presentation: from elementary material to state-of-the-art research; Much of the theory in book-form for the first time; Connections are made between probability and other areas of mathematics, engineering and mathematical physics


Stopping Times and Directed Processes

Stopping Times and Directed Processes

Author: Gerald A. Edgar

Publisher: Cambridge University Press

Published: 1992-08-28

Total Pages: 446

ISBN-13: 0521350239

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A unified treatment of the theory of 'stopping times' for probability theorists and statisticians.


Foundations and Applications of Sensor Management

Foundations and Applications of Sensor Management

Author: Alfred Olivier Hero

Publisher: Springer Science & Business Media

Published: 2007-10-23

Total Pages: 317

ISBN-13: 0387498192

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This book covers control theory signal processing and relevant applications in a unified manner. It introduces the area, takes stock of advances, and describes open problems and challenges in order to advance the field. The editors and contributors to this book are pioneers in the area of active sensing and sensor management, and represent the diverse communities that are targeted.


Analysis of Variations for Self-similar Processes

Analysis of Variations for Self-similar Processes

Author: Ciprian Tudor

Publisher: Springer Science & Business Media

Published: 2013-08-13

Total Pages: 272

ISBN-13: 3319009362

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Self-similar processes are stochastic processes that are invariant in distribution under suitable time scaling, and are a subject intensively studied in the last few decades. This book presents the basic properties of these processes and focuses on the study of their variation using stochastic analysis. While self-similar processes, and especially fractional Brownian motion, have been discussed in several books, some new classes have recently emerged in the scientific literature. Some of them are extensions of fractional Brownian motion (bifractional Brownian motion, subtractional Brownian motion, Hermite processes), while others are solutions to the partial differential equations driven by fractional noises. In this monograph the author discusses the basic properties of these new classes of self-similar processes and their interrelationship. At the same time a new approach (based on stochastic calculus, especially Malliavin calculus) to studying the behavior of the variations of self-similar processes has been developed over the last decade. This work surveys these recent techniques and findings on limit theorems and Malliavin calculus.


Probability in Banach Spaces, 9

Probability in Banach Spaces, 9

Author: Jorgen Hoffmann-Jorgensen

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 422

ISBN-13: 1461202531

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The papers contained in this volume are an indication of the topics th discussed and the interests of the participants of The 9 International Conference on Probability in Banach Spaces, held at Sandjberg, Denmark, August 16-21, 1993. A glance at the table of contents indicates the broad range of topics covered at this conference. What defines research in this field is not so much the topics considered but the generality of the ques tions that are asked. The goal is to examine the behavior of large classes of stochastic processes and to describe it in terms of a few simple prop erties that the processes share. The reward of research like this is that occasionally one can gain deep insight, even about familiar processes, by stripping away details, that in hindsight turn out to be extraneous. A good understanding about the disciplines involved in this field can be obtained from the recent book, Probability in Banach Spaces, Springer-Verlag, by M. Ledoux and M. Thlagrand. On page 5, of this book, there is a list of previous conferences in probability in Banach spaces, including the other eight international conferences. One can see that research in this field over the last twenty years has contributed significantly to knowledge in probability and has had important applications in many other branches of mathematics, most notably in statistics and functional analysis.


Abstract And Applied Analysis - Proceedings Of The International Conference

Abstract And Applied Analysis - Proceedings Of The International Conference

Author: Nguyen Minh Chuong

Publisher: World Scientific

Published: 2004-06-01

Total Pages: 579

ISBN-13: 9814482110

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This volume takes up various topics in Mathematical Analysis including boundary and initial value problems for Partial Differential Equations and Functional Analytic methods.Topics include linear elliptic systems for composite material — the coefficients may jump from domain to domain; Stochastic Analysis — many applied problems involve evolution equations with random terms, leading to the use of stochastic analysis.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)• CC Proceedings — Engineering & Physical Sciences


Abstract and Applied Analysis

Abstract and Applied Analysis

Author: N. M. Chuong

Publisher: World Scientific

Published: 2004

Total Pages: 579

ISBN-13: 981238944X

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This volume takes up various topics in Mathematical Analysis including boundary and initial value problems for Partial Differential Equations and Functional Analytic methods.Topics include linear elliptic systems for composite material ? the coefficients may jump from domain to domain; Stochastic Analysis ? many applied problems involve evolution equations with random terms, leading to the use of stochastic analysis.The proceedings have been selected for coverage in: ? Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)? CC Proceedings ? Engineering & Physical Sciences