James Bucklew: Introduction to Rare Event Simulation

Detailinformationen

  • Springer-Verlag GmbH, 01/2004
  • Einband: Gebunden
  • Sprache: Englisch
  • ISBN-13: 9780387200781
  • Bestell-Nr.: 5381339
  • Umfang: 262 Seiten
  • Sonstiges: w. 50 figs.
  • Gewicht: 505 g
  • Maße: 236 x 155 mm
  • Stärke: 15 mm
  • Erscheinungstermin: 15.1.2004

  • Achtung: Artikel ist nicht in deutscher Sprache!

Beschreibung

This 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 usto 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 isa 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.

Inhaltsangabe

Random Number Generation.
- Stochastic Models.
- Large Deviation Theory.
- Importance Sampling.
- The Large Deviation Theory of Importance Sampling Estimators.
- The Large Deviation Theory of Conditional Importance Sampling Estimators.
- The Large Deviations of Bias Point Selection.
- Chernoff's Bound and Asymptotic Expansions.
- Gaussian Systems.
- Universal Simulation Distributions.
- Rare Event Simulation for Level Crossing and Queueing Models.
- Blind Simulation.
- The (Over- Under) Biasing Problem in Importance Sampling.
- Tools and Techniques for Importance Sampling.

Klappentext

This 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. It allows us to view a vast assortment of simulation problems from a unified single perspective.

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