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Large Deviations [Hardcover]

F. Den Hollander


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Book Description

2000 0821819895 978-0821819890 1
This volume offers an introduction to large deviations. It is divided into two parts: theory and applications. Basic large deviation theorems are presented for i.i.d. sequences, Markov sequences, and sequences with moderate dependence. The rate function is computed explicitly. The theory is explained without too much emphasis on technicalities. Also included is an outline of general definitions and theorems. The goal is to expose the unified theme that gives large deviation theory
its overall structure, which can be made to work in many concrete cases.

Product Details

  • Hardcover: 143 pages
  • Publisher: American Mathematical Society; 1 edition (2000)
  • Language: English
  • ISBN-10: 0821819895
  • ISBN-13: 978-0821819890
  • Product Dimensions: 26 x 18 x 1.2 cm
  • Shipping Weight: 499 g
  • Amazon Bestsellers Rank: #2,439,205 in Books (See Top 100 in Books)

Product Description

From the Publisher

A useful supplement to an undergraduate text in coding theory to give students a basic introduction to algebraic geometry codes. --Mathematical Reviews

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Most Helpful Customer Reviews on Amazon.com (beta)
Amazon.com: 5.0 out of 5 stars  1 review
1 of 1 people found the following review helpful
5.0 out of 5 stars If you are new to LD, this is the one you should start with Mar 10 2012
By Yan Zhu - Published on Amazon.com
Format:Paperback
If you have relatively solid background on Probability theory but new to large deviation. I would like to recommend this book rather than "Large Deviations Techniques and Applications". Reasons are follow:

1. This book is short. If you don't care about the application very much, the core content is less than 70 pages. In other words, I recommend to read this book carefully and slowly even over and over, in order to absorb it well. In any case, it is easier to go through "Large Deviations Techniques and Applications"
2. Comparing "Large Deviations Techniques and Applications", I like the presentation, which is very intuitive. The book didn't prove the very general and very deep results. However, with weaker assumption and much nicer and conciser proof, it will not be difficult to understanding the deeper and harder one.

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