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Ambit Stochastics
Buch von Ole E. Barndorff-Nielsen (u. a.)
Sprache: Englisch

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Beschreibung
Drawing on advanced probability theory, Ambit Stochastics is used to model stochastic processes which depend on both time and space. This monograph, the first on the subject, provides a reference for this burgeoning field, complete with the applications that have driven its development.

Unique to Ambit Stochastics are ambit sets, which allow the delimitation of space-time to a zone of interest, and ambit fields, which are particularly well-adapted to modelling stochastic volatility or intermittency. These attributes lend themselves notably to applications in the statistical theory of turbulence and financial econometrics. In addition to the theory and applications of Ambit Stochastics, the book also contains new theory on the simulation of ambit fields and a comprehensive stochastic integration theory for Volterra processes in a non-semimartingale context.

Written by pioneers in the subject, this book will appeal to researchers and graduate students interested in empirical stochastic modelling.
Drawing on advanced probability theory, Ambit Stochastics is used to model stochastic processes which depend on both time and space. This monograph, the first on the subject, provides a reference for this burgeoning field, complete with the applications that have driven its development.

Unique to Ambit Stochastics are ambit sets, which allow the delimitation of space-time to a zone of interest, and ambit fields, which are particularly well-adapted to modelling stochastic volatility or intermittency. These attributes lend themselves notably to applications in the statistical theory of turbulence and financial econometrics. In addition to the theory and applications of Ambit Stochastics, the book also contains new theory on the simulation of ambit fields and a comprehensive stochastic integration theory for Volterra processes in a non-semimartingale context.

Written by pioneers in the subject, this book will appeal to researchers and graduate students interested in empirical stochastic modelling.
Über den Autor

Ole Barndorff-Nielsen is well known for his manifold contributions to the theory and applications of probability and mathematical statistics, as described in the introductions of The Fascination of Probability, Statistics and Their Applications, Springer 2016. He has contributed to various fields, including statistical inference, sedimentology, infinite divisibility and Levy theory, homogeneous turbulence, and financial econometrics. Together with Jürgen Schmiegel he has founded the field of ambit stochastics.

Fred Espen Benth's research focuses on stochastic analysis and its applications to energy and finance. He has contributed to risk management analysis of financial markets for weather and energy, as well as theoretical developments of stochastic calculus, including non-semimartingale stochastic integration. Recently he has developed stochastic volatility models and autoregressive processes in the infinite dimensional context.

Almut E. D. Veraart is a statistician and probabilist with an interest in developing stochastic models and statistical methods for finance, energy markets and weather and environmental variables. Her main methodological contributions are in statistical finance focusing on stochastic volatility modelling and estimation based on high-frequency data and in spatio-temporal statistics dealing with simulation and inference for ambit fields.

Zusammenfassung

Written by the leading experts in the field

Presents current state of the art

Provides theoretical foundations and presents applications in great detail

Inhaltsverzeichnis
Part I The purely temporal case.- 1 Volatility modulated Volterra processes.- 2 Simulation.- 3 Asymptotic theory for power variation of LSS processes.- 4 Integration with respect to volatility modulated Volterra processes.- Part II The spatio-temporal case.- 5 The ambit framework.- 6 Representation and simulation of ambit fields.- 7 Stochastic integration with ambit fields as integrators.- 8 Trawl processes.- Part III Applications.- 9 Turbulence modelling.- 10 Stochastic modelling of energy spot prices by LSS processes.- 11 Forward curve modelling by ambit fields.- Appendix A: Bessel functions.- Appendix B: Generalised hyperbolic distribution.- References.- Index.
Details
Erscheinungsjahr: 2018
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Probability Theory and Stochastic Modelling
Inhalt: xxv
402 S.
14 s/w Illustr.
25 farbige Illustr.
402 p. 39 illus.
25 illus. in color.
ISBN-13: 9783319941288
ISBN-10: 3319941283
Sprache: Englisch
Herstellernummer: 978-3-319-94128-8
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Barndorff-Nielsen, Ole E.
Veraart, Almut E. D.
Benth, Fred Espen
Auflage: 1st ed. 2018
Hersteller: Springer International Publishing
Springer International Publishing AG
Probability Theory and Stochastic Modelling
Maße: 241 x 160 x 29 mm
Von/Mit: Ole E. Barndorff-Nielsen (u. a.)
Erscheinungsdatum: 12.11.2018
Gewicht: 0,805 kg
Artikel-ID: 113754011
Über den Autor

Ole Barndorff-Nielsen is well known for his manifold contributions to the theory and applications of probability and mathematical statistics, as described in the introductions of The Fascination of Probability, Statistics and Their Applications, Springer 2016. He has contributed to various fields, including statistical inference, sedimentology, infinite divisibility and Levy theory, homogeneous turbulence, and financial econometrics. Together with Jürgen Schmiegel he has founded the field of ambit stochastics.

Fred Espen Benth's research focuses on stochastic analysis and its applications to energy and finance. He has contributed to risk management analysis of financial markets for weather and energy, as well as theoretical developments of stochastic calculus, including non-semimartingale stochastic integration. Recently he has developed stochastic volatility models and autoregressive processes in the infinite dimensional context.

Almut E. D. Veraart is a statistician and probabilist with an interest in developing stochastic models and statistical methods for finance, energy markets and weather and environmental variables. Her main methodological contributions are in statistical finance focusing on stochastic volatility modelling and estimation based on high-frequency data and in spatio-temporal statistics dealing with simulation and inference for ambit fields.

Zusammenfassung

Written by the leading experts in the field

Presents current state of the art

Provides theoretical foundations and presents applications in great detail

Inhaltsverzeichnis
Part I The purely temporal case.- 1 Volatility modulated Volterra processes.- 2 Simulation.- 3 Asymptotic theory for power variation of LSS processes.- 4 Integration with respect to volatility modulated Volterra processes.- Part II The spatio-temporal case.- 5 The ambit framework.- 6 Representation and simulation of ambit fields.- 7 Stochastic integration with ambit fields as integrators.- 8 Trawl processes.- Part III Applications.- 9 Turbulence modelling.- 10 Stochastic modelling of energy spot prices by LSS processes.- 11 Forward curve modelling by ambit fields.- Appendix A: Bessel functions.- Appendix B: Generalised hyperbolic distribution.- References.- Index.
Details
Erscheinungsjahr: 2018
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Probability Theory and Stochastic Modelling
Inhalt: xxv
402 S.
14 s/w Illustr.
25 farbige Illustr.
402 p. 39 illus.
25 illus. in color.
ISBN-13: 9783319941288
ISBN-10: 3319941283
Sprache: Englisch
Herstellernummer: 978-3-319-94128-8
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Barndorff-Nielsen, Ole E.
Veraart, Almut E. D.
Benth, Fred Espen
Auflage: 1st ed. 2018
Hersteller: Springer International Publishing
Springer International Publishing AG
Probability Theory and Stochastic Modelling
Maße: 241 x 160 x 29 mm
Von/Mit: Ole E. Barndorff-Nielsen (u. a.)
Erscheinungsdatum: 12.11.2018
Gewicht: 0,805 kg
Artikel-ID: 113754011
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