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Published by John Wiley & Sons, Inc, 2014
ISBN 10: 0470647272 ISBN 13: 9780470647271
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hardcover. Condition: Sehr gut. 279 Seiten; 9783319009353.2 Gewicht in Gramm: 1.
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Published by Springer Nature Switzerland, 2023
ISBN 10: 3031337719 ISBN 13: 9783031337710
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book offers an introduction to the field of stochastic analysis of Hermite processes. These selfsimilar stochastic processes with stationary increments live in a Wiener chaos and include the fractional Brownian motion, the only Gaussian process in this class.Using the Wiener chaos theory and multiple stochastic integrals, the book covers the main properties of Hermite processes and their multiparameter counterparts, the Hermite sheets. It delves into the probability distribution of these stochastic processes and their sample paths, while also presenting the basics of stochastic integration theory with respect to Hermite processes and sheets.The book goes beyond theory and provides a thorough analysis of physical models driven by Hermite noise, including the Hermite Ornstein-Uhlenbeck process and the solution to the stochastic heat equation driven by such a random perturbation. Moreover, it explores up-to-date topics central to current research in statistical inference for Hermite-driven models.
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Published by World Scientific Pub Co Inc, 2022
ISBN 10: 9811264457 ISBN 13: 9789811264450
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Taschenbuch. Condition: Neu. Non-Gaussian Selfsimilar Stochastic Processes | Ciprian Tudor | Taschenbuch | SpringerBriefs in Probability and Mathematical Statistics | xii | Englisch | 2023 | Springer | EAN 9783031337710 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
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Condition: Sehr gut. Zustand: Sehr gut | Seiten: 280 | Sprache: Englisch | Produktart: Bücher | 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. .
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Published by Springer International Publishing, 2013
ISBN 10: 3319009354 ISBN 13: 9783319009353
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Published by Springer International Publishing, 2015
ISBN 10: 3319033689 ISBN 13: 9783319033686
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