Introduction to Rare Event Simulation 1st edition by James Bucklew – Ebook PDF Instant Download/Delivery: 0387200789 , 978-0387200781
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Product details:
ISBN 10: 0387200789
ISBN 13: 978-0387200781
Author: James Bucklew
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.
Introduction to Rare Event Simulation 1st Table of contents:
- Random Number Generation
- Variance Rate Theory of Conditional Importance Sampling
- The Large Deviations of Bias Point Selection
- Dhernoffs Bound and Asymptotic Expansions
- Gaussian Systems
- Universal Simulation Distributions
- Rare Event Simulation for Level Crossing and Queueing
- Blind Simulation
- The OverUnder Biasing Problem in Importance Sam
- A Convex Functions and Analysis
- PseudoRandom Number Generator Programs
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