Large deviation techniques and applications : second edition

By: Amir DemboContributor(s): Ofer ZeitouniMaterial type: TextTextSeries: Stochastic Modelling and Applied Probability ; Vol. 38Publication details: Heidelberg: Springer, [c1993]Edition: 2nd edDescription: 396 pISBN: 9783642033100Subject(s): MathematicsLOC classification: QA273.67Online resources: Click here to access online
Contents:
1. Introduction 2. LDP for Finite Dimensional Spaces 3. Applications-The Finite Dimensional Case 4. General Principles 5. Sample Path Large Deviations 6. The LDP for Abstract Empirical Measures 7. Applications of Empirical Measures LDP
Summary: Large deviation estimates have proved to be the crucial tool required to handle many questions in statistics, engineering, statistial mechanics, and applied probability. Amir Dembo and Ofer Zeitouni, two of the leading researchers in the field, provide an introduction to the theory of large deviations and applications at a level suitable for graduate students. The mathematics is rigorous and the applications come from a wide range of areas, including electrical engineering and DNA sequences. The second edition, printed in 1998, included new material on concentration inequalities and the metric and weak convergence approaches to large deviations. General statements and applications were sharpened, new exercises added, and the bibliography updated. The present soft cover edition is a corrected printing of the 1998 edition. --- summary provided by publisher
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1. Introduction
2. LDP for Finite Dimensional Spaces
3. Applications-The Finite Dimensional Case
4. General Principles
5. Sample Path Large Deviations
6. The LDP for Abstract Empirical Measures
7. Applications of Empirical Measures LDP

Large deviation estimates have proved to be the crucial tool required to handle many questions in statistics, engineering, statistial mechanics, and applied probability. Amir Dembo and Ofer Zeitouni, two of the leading researchers in the field, provide an introduction to the theory of large deviations and applications at a level suitable for graduate students. The mathematics is rigorous and the applications come from a wide range of areas, including electrical engineering and DNA sequences.

The second edition, printed in 1998, included new material on concentration inequalities and the metric and weak convergence approaches to large deviations. General statements and applications were sharpened, new exercises added, and the bibliography updated. The present soft cover edition is a corrected printing of the 1998 edition. --- summary provided by publisher

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