Non-Gaussian Selfsimilar Stochastic Processes (SpringerBriefs in Probability and Mathematical Statistics)
Tudor, Ciprian
ISBN 10: 3031337719 ISBN 13: 9783031337710
Editore: Springer, 2023
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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.Informazioni sull?autore:
Ciprian Tudor is Full Professor at the University of Lille, France. He graduated from the University of Bucharest and earned his PhD degree in probability from Université de La Rochelle in 2002. Following his doctorate, he held positions at the Université Pierre et Marie Curie (Paris 6) and at the Université de Panthéon-Sorbonne (Paris 1), where he obtained his Habilitation in 2006. With a research focus on stochastic processes, particularly Malliavin calculus, self-similar processes, and their applications to statistics, he has authored three monographs and more than 150 scientific publications in well-regarded journals.
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Titolo: Non-Gaussian Selfsimilar Stochastic ...
Casa editrice: Springer
Data di pubblicazione: 2023
Legatura: paperback
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Non-Gaussian Selfsimilar Stochastic Processes (eng)
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Non-Gaussian Selfsimilar Stochastic Processes
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Springer, Berlin|Springer Nature Switzerland|Springer, 2023
ISBN 10: 3031337719
ISBN 13: 9783031337710
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 t. Codice articolo 859348113
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Taschenbuch. Condizione: 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. Codice articolo 126864887
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Taschenbuch. Condizione: 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. Codice articolo 9783031337710
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Springer Nature Switzerland Jul 2023, 2023
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ISBN 13: 9783031337710
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 116 pp. Englisch. Codice articolo 9783031337710
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Springer, Palgrave Macmillan Jul 2023, 2023
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ISBN 13: 9783031337710
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 116 pp. Englisch. Codice articolo 9783031337710
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