Kinetic 发表于 2025-3-28 16:58:49

Advanced Lectures in Mathematicshttp://image.papertrans.cn/s/image/877974.jpg

Facet-Joints 发表于 2025-3-28 20:22:54

https://doi.org/10.1007/978-3-663-13923-2Approximation; Brownian motion; Differentialgleichung; Gleichung; Martingal; Martingale; Semimartingal; Sem

流浪 发表于 2025-3-29 00:29:11

The Stochastic Integral,In this chapter, we define (stochastic) Itô-integrals .H dM for local .. — martingales M and a fairly large class of adapted processes H. The integral is a random variable. It will be constructed as a suitable limit of Riemann-Stieltjes type approximations like

Subdue 发表于 2025-3-29 06:17:37

Ito-Calculus,Itô’s formula is the most important tool in the theory of stochastic integration. It plays the counterpart of the fundamental theorem of classical calculus or rather its application to change of variables. It differs notably from the latter due to presence of quadratic variation.

发表于 2025-3-29 10:16:46

Change of Measures,The class of semimartingales proved to be convenient for the development of stochastic calculus because it is stable under natural operations:

内向者 发表于 2025-3-29 13:56:31

Stochastic Differential Equations,A stochastic (ordinary) differential equation (SDE) usually looks like this

入会 发表于 2025-3-29 16:43:39

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多样 发表于 2025-3-29 20:29:22

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查看完整版本: Titlebook: Stochastic Integrals; An Introduction Heinrich Weizsäcker,Gerhard Winkler Book 1990 Springer Fachmedien Wiesbaden 1990 Approximation.Browni