Enthralling 发表于 2025-3-23 13:00:07
Fundamentals of Probabilityort to readers who may not be familiar with them. The sections on convergence of random variables and on infinitely divisible laws are, by themselves, crucial for understanding recent developments in stochastic analysis and its applications. The section on Gaussian vectors serves as an introductionMast-Cell 发表于 2025-3-23 14:56:46
Stochastic Processesc theorem by Kolmogorov–Bochner on the existence of stochastic processes as an extension of finite-dimensional distributions, it is shown that Gaussian processes, processes with independent increments, and Markov processes can be well defined. Continuous-time martingales are introduced in order to pItinerant 发表于 2025-3-23 20:57:55
The Itô Integralntroduced, and Itô’s formula is proven. Major results from the Itô calculus, including the fundamental martingale representation theorem, are presented. Finally, an introduction to the Itô-Lévy calculus with respect to Lévy processes is introduced up to a generalization of Itô’s formula.抛媚眼 发表于 2025-3-23 22:42:39
Stochastic Differential Equations are presented as a key mathematical tool for relating the subject of dynamical systems to Wiener noise. The well-posedness of an initial value problem for SDEs is proven, and primary analytical and probabilistic properties of the solutions are presented. SDEs are discussed as dynamical representatiFeckless 发表于 2025-3-24 02:50:04
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https://doi.org/10.1007/978-0-8176-8346-7Brownian motion; Ito integral; Levy process; Markov process; differential equations; martingale; point pro现晕光 发表于 2025-3-24 12:04:53
http://reply.papertrans.cn/16/1552/155192/155192_17.pngADAGE 发表于 2025-3-24 16:04:29
An Introduction to Continuous-Time Stochastic Processes978-0-8176-8346-7Series ISSN 2164-3679 Series E-ISSN 2164-3725Neutropenia 发表于 2025-3-24 20:18:48
Geschäftsmodelle in der Softwareindustrieort to readers who may not be familiar with them. The sections on convergence of random variables and on infinitely divisible laws are, by themselves, crucial for understanding recent developments in stochastic analysis and its applications. The section on Gaussian vectors serves as an introduction to Gaussian processes.晚间 发表于 2025-3-25 01:59:44
Peter Buxmann,Heiner Diefenbach,Thomas Hessntroduced, and Itô’s formula is proven. Major results from the Itô calculus, including the fundamental martingale representation theorem, are presented. Finally, an introduction to the Itô-Lévy calculus with respect to Lévy processes is introduced up to a generalization of Itô’s formula.