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MARC 21

Introduction to Rare Event Simulation
Tag	Description
020	$a9781475740783$9978-1-4757-4078-3
082	$a519.5$223
099	$aOnline resource: Springer
100	$aBucklew, James Antonio.
245	$aIntroduction to Rare Event Simulation$h[EBook] /$cby James Antonio Bucklew.
260	$aNew York, NY :$bSpringer New York :$bImprint: Springer,$c2004.
300	$aXII, 268 p.$bonline resource.
336	$atext$btxt$2rdacontent
337	$acomputer$bc$2rdamedia
338	$aonline resource$bcr$2rdacarrier
440	$aSpringer Series in Statistics,$x0172-7397
505	$a1. Random Number Generation -- 2. Stochastic Models -- 3. Large Deviation Theory -- 4. Importance Sampling -- 5. The Large Deviation Theory of Importance Sampling Estimators -- 6. Variance Rate Theory of Conditional Importance Sampling Estimators -- 7. The Large Deviations of Bias Point Selection -- 8. Chernoff’s Bound and Asymptotic Expansions -- 9. Gaussian Systems -- 10. Universal Simulation Distributions -- 11. Rare Event Simulation for Level Crossing and Queueing Models -- 12. Blind Simulation -- 13. The (Over-Under) Biasing Problem in Importance Sampling -- 14. Tools and Techniques for Importance Sampling -- A. Convex Functions and Analysis -- B. A Covering Lemma -- C. Pseudo-Random Number Generator Programs -- References.
520	$aThis book 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. This perspective allows us to view a vast assortment of simulation problems from a unified single perspective. It gives a great deal of insight into the fundamental nature of rare event simulation. Until now, this area has a reputation among simulation practitioners of requiring a great deal of technical and probabilistic expertise. This text keeps the mathematical preliminaries to a minimum with the only prerequisite being a single large deviation theory result that is given and proved 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, the book concentrates on demonstrating the methodology and the principal ideas in a fairly simple setting. The book contains over 50 figures and detailed simulation case studies covering a wide variety of application areas including statistics, telecommunications, and queueing systems. James A. Bucklew holds the rank of Professor with appointments in the Department of Electrical and Computer Engineering and in the Department of Mathematics at the University of Wisconsin-Madison. He is a Fellow of the Institute of Electrical and Electronics Engineers and the author of Large Deviation Techniques in Decision, Simulation, and Estimation.
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
710	$aSpringerLink (Online service)
830	$aSpringer Series in Statistics,$x0172-7397
856	$uhttp://dx.doi.org/10.1007/978-1-4757-4078-3