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Titlebook: Introduction to Rare Event Simulation; James Antonio Bucklew Book 2004 Springer Science+Business Media New York 2004 Estimator.Probability

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发表于 2025-3-21 16:13:39 | 显示全部楼层 |阅读模式
书目名称Introduction to Rare Event Simulation
编辑James Antonio Bucklew
视频video
概述Presents a unified theory of rare event simulation and the variance reduction technique known as importance sampling from the point of view of the probabilistic theory of large deviations.Allows us to
丛书名称Springer Series in Statistics
图书封面Titlebook: Introduction to Rare Event Simulation;  James Antonio Bucklew Book 2004 Springer Science+Business Media New York 2004 Estimator.Probability
描述This book is an attempt to present a unified theory of rare event simulation and the variance reduction technique known as importance sampling from the point of view of the probabilistic theory of large deviations. This framework allows us to view a vast assortment of simulation problems from a single unified perspective. It gives a great deal of insight into the fundamental nature of rare event simulation. Unfortunately, this area has a reputation among simulation practitioners of requiring a great deal of technical and probabilistic expertise. In this text, I have tried to keep the mathematical preliminaries to a minimum; the only prerequisite is a single large deviation theorem dealing with sequences of Rd­ valued random variables. (This theorem and a proof are given in the text.) Large deviation theory is a burgeoning area of probability theory and many of the results in it can be applied to simulation problems. Rather than try to be as complete as possible in the exposition of all possible aspects of the available theory, I have tried to concentrate on demonstrating the methodology and the principal ideas in a fairly simple setting. Madison, Wisconsin 2003 James Antonio Buckle
出版日期Book 2004
关键词Estimator; Probability theory; Simulation; Variance; calculus; communication; statistics
版次1
doihttps://doi.org/10.1007/978-1-4757-4078-3
isbn_softcover978-1-4419-1893-2
isbn_ebook978-1-4757-4078-3Series ISSN 0172-7397 Series E-ISSN 2197-568X
issn_series 0172-7397
copyrightSpringer Science+Business Media New York 2004
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发表于 2025-3-21 22:40:29 | 显示全部楼层
Importance Sampling, parameters. Typical situations of interest could be a buffer overload in a queueing network or an error event in a digital communication system. In many system designs or analyses a low probability event is a key parameter of the system’s efficacy.
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The Large Deviation Theory of Importance Sampling Estimators,pear to be fairly abstract but we argue that the level of generality presented here will pay dividends later on. We encourage the reader to follow the problem setup given here with some care and then compare it with the first example given below to see how this framework is actually used.
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James Antonio BucklewPresents a unified theory of rare event simulation and the variance reduction technique known as importance sampling from the point of view of the probabilistic theory of large deviations.Allows us to
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Springer Series in Statisticshttp://image.papertrans.cn/i/image/474119.jpg
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