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Titlebook: Stochastic Processes; Andrei N Borodin Book 2017 Springer International Publishing AG 2017 stochastic calculus.diffusion processes.Brownia

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书目名称Stochastic Processes
编辑Andrei N Borodin
视频video
概述Gives a rigorous yet understandable presentation of the theory of stochastic processes.Presents the theory of distributions of functionals of diffusions including local times, rarely found in literatu
丛书名称Probability and Its Applications
图书封面Titlebook: Stochastic Processes;  Andrei N Borodin Book 2017 Springer International Publishing AG 2017 stochastic calculus.diffusion processes.Brownia
描述.This book provides a rigorous yet accessible introduction to the theory of stochastic processes. A significant part of the book is devoted to the classic theory of stochastic processes. In turn, it also presents proofs of well-known results, sometimes together with new approaches. Moreover, the book explores topics not previously covered elsewhere, such as distributions of functionals of diffusions stopped at different random times, the Brownian local time, diffusions with jumps, and an invariance principle for random walks and local times..Supported by carefully selected material, the book showcases a wealth of examples that demonstrate how to solve concrete problems by applying theoretical results. It addresses a broad range of applications, focusing on concrete computational techniques rather than on abstract theory. The content presented here is largely self-contained, making it suitable for researchers and graduate students alike.. . .
出版日期Book 2017
关键词stochastic calculus; diffusion processes; Brownian motion; differential equations; conditional probabili
版次1
doihttps://doi.org/10.1007/978-3-319-62310-8
isbn_softcover978-3-319-87287-2
isbn_ebook978-3-319-62310-8Series ISSN 2297-0371 Series E-ISSN 2297-0398
issn_series 2297-0371
copyrightSpringer International Publishing AG 2017
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Probability and Its Applicationshttp://image.papertrans.cn/s/image/878100.jpg
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Basic Facts,We recall here the classical definition of a probability space.
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Stochastic Calculus,In this section we present the basic facts of the theory of stochastic integration in the case when the integrator is a Brownian motion ..
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Distributions of Functionals of Brownian Motion,We consider general methods for computing the joint distributions of integral functionals of Brownian motion and functionals of its infimum and supremum. We begin our study by considering an integral functional of a Brownian motion ., since it serves as a starting point for the development of computation methods for others functionals.
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Andrei N BorodinGives a rigorous yet understandable presentation of the theory of stochastic processes.Presents the theory of distributions of functionals of diffusions including local times, rarely found in literatu
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