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Titlebook: Ambit Stochastics; Ole E. Barndorff-Nielsen,Fred Espen Benth,Almut E. Book 2018 Springer Nature Switzerland AG 2018 60G60, 60F05, 60H05, 6

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发表于 2025-3-21 19:09:50 | 显示全部楼层 |阅读模式
期刊全称Ambit Stochastics
影响因子2023Ole E. Barndorff-Nielsen,Fred Espen Benth,Almut E.
视频video
发行地址Written by the leading experts in the field.Presents current state of the art.Provides theoretical foundations and presents applications in great detail
学科分类Probability Theory and Stochastic Modelling
图书封面Titlebook: Ambit Stochastics;  Ole E. Barndorff-Nielsen,Fred Espen Benth,Almut E. Book 2018 Springer Nature Switzerland AG 2018 60G60, 60F05, 60H05, 6
影响因子.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..
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Die Rohstoffe der Emailfabrikationiavin calculus. We present the key results in the semimartingale and the nonsemimartingale case. The latter, particularly in the context of LSS rather than BSS processes, is still a relatively open area.
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H. Hortling,K. Malmio,L. Hiisi-Brummerrice dynamics. The chapter ends with a detailed study of spread option pricing, where we show that in the Gaussian case we recover a general version of the classical Margrabe formula, while in the Lévy case we can provide a Fourier-based expression for the price.
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Integration with Respect to Volatility Modulated Volterra Processesm, the Malliavin derivative occurs. We derive a series of basic properties of the integral, before applying it to, among other things, volatility modulated Volterra process-driven Ornstein-Uhlenbeck processes, which again become of volatility modulated Volterra type.
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Die Rohstoffe der Emailfabrikation solve for the solution of this stochastic partial differential equation, where we can read off the simulated path of the volatility modulated Volterra process. Also for this scheme we can develop convergence results.
发表于 2025-3-23 06:58:55 | 显示全部楼层
Simulation solve for the solution of this stochastic partial differential equation, where we can read off the simulated path of the volatility modulated Volterra process. Also for this scheme we can develop convergence results.
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