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Titlebook: Numerical Probability; An Introduction with Gilles Pagès Textbook 2018 Springer Nature Switzerland AG 2018 Monte Carlo method.variance redu

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发表于 2025-3-21 18:18:22 | 显示全部楼层 |阅读模式
书目名称Numerical Probability
副标题An Introduction with
编辑Gilles Pagès
视频video
概述Written by an expert in the subject.Covers discretization schemes of stochastic differential equations.Includes over 150 exercises.Contains an extensive bibliography
丛书名称Universitext
图书封面Titlebook: Numerical Probability; An Introduction with Gilles Pagès Textbook 2018 Springer Nature Switzerland AG 2018 Monte Carlo method.variance redu
描述.This textbook provides a self-contained introduction to numerical methods in probability with a focus on applications to finance...Topics covered include the Monte Carlo simulation (including simulation of random variables, variance reduction, quasi-Monte Carlo simulation, and more recent developments such as the multilevel paradigm), stochastic optimization and approximation, discretization schemes of stochastic differential equations, as well as optimal quantization methods. The author further presents detailed applications to numerical aspects of pricing and hedging of financial derivatives, risk measures (such as value-at-risk and conditional value-at-risk), implicitation of parameters, and calibration...Aimed at graduate students and advanced undergraduate students, this book contains useful examples and over 150 exercises, making it suitable for self-study..
出版日期Textbook 2018
关键词Monte Carlo method; variance reduction; Quasi-Monte Carlo method; stochastic differential equation disc
版次1
doihttps://doi.org/10.1007/978-3-319-90276-0
isbn_softcover978-3-319-90274-6
isbn_ebook978-3-319-90276-0Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer Nature Switzerland AG 2018
The information of publication is updating

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发表于 2025-3-22 00:04:34 | 显示全部楼层
0172-5939 at graduate students and advanced undergraduate students, this book contains useful examples and over 150 exercises, making it suitable for self-study..978-3-319-90274-6978-3-319-90276-0Series ISSN 0172-5939 Series E-ISSN 2191-6675
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,Optimal Quantization Methods I: Cubatures,onte Carlo simulation at least up to 5 dimensions. A first approach to the computation of (quadratic) optimal quantizers of a given distribution is developed. Quantization is also investigated in Chap. . from an algorithmic view point and . as a numerical method to price Bermuda and American options.
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Stochastic Approximation with Applications to Finance, which allows to minimize the asymptotic variance of such procedures, is also analyzed. Various applications to finance are developed: computation of implicit parameters (volatility, correlation, etc), calibration and the computation of Value-at-Risk and conditional value-at-risk (expected shortfall).
发表于 2025-3-22 23:30:23 | 显示全部楼层
The Diffusion Bridge Method: Application to Path-Dependent Options (II),Several first order weak error are stated with precise references. Applications to several families of path-dependent European options (Asian, lookback, barrier) are given, including some variance reduction methods for barrier options.
发表于 2025-3-23 01:54:18 | 显示全部楼层
Textbook 2018s, risk measures (such as value-at-risk and conditional value-at-risk), implicitation of parameters, and calibration...Aimed at graduate students and advanced undergraduate students, this book contains useful examples and over 150 exercises, making it suitable for self-study..
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