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  • Textbook
  • © 2010

Large Deviations Techniques and Applications

  • Written by two of the leading researchers in the field
  • Applications come from a wide range of areas, including electrical engineering and DNA sequencing
  • This second edition includes three new sections which reflect current developments in the field, particularly with regard to applications
  • New exercises have been added and the bibliography has been updated
  • Includes supplementary material: sn.pub/extras

Part of the book series: Stochastic Modelling and Applied Probability (SMAP, volume 38)

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Table of contents (7 chapters)

  1. Front Matter

    Pages I-XVI
  2. Introduction

    • Amir Dembo, Ofer Zeitouni
    Pages 1-10
  3. LDP for Finite Dimensional Spaces

    • Amir Dembo, Ofer Zeitouni
    Pages 11-70
  4. Applications-The Finite Dimensional Case

    • Amir Dembo, Ofer Zeitouni
    Pages 71-114
  5. General Principles

    • Amir Dembo, Ofer Zeitouni
    Pages 115-174
  6. Sample Path Large Deviations

    • Amir Dembo, Ofer Zeitouni
    Pages 175-250
  7. The LDP for Abstract Empirical Measures

    • Amir Dembo, Ofer Zeitouni
    Pages 251-310
  8. Applications of Empirical Measures LDP

    • Amir Dembo, Ofer Zeitouni
    Pages 311-339
  9. Back Matter

    Pages 341-398

About this book

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.

Authors and Affiliations

  • Dept. of Statistics, Stanford University, Stanford, U.S.A.

    Amir Dembo

  • Dept. Mathematics, University of Minnesota, Minneapolis, U.S.A.

    Ofer Zeitouni

About the authors

Amir Dembo is a Professor of Mathematics and of Statistics at Stanford University.

Ofer Zeitouni is a Professor of Mathematics at the Weizmann Institute of Science and at the University of Minnesota.

Bibliographic Information

Buy it now

Buying options

eBook USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access