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Probability
Theory and Examples

4th Edition

Part of Cambridge Series in Statistical and Probabilistic Mathematics

  • Date Published: September 2010
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9780511910906

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About the Authors
  • This classic introduction to probability theory for beginning graduate students covers laws of large numbers, central limit theorems, random walks, martingales, Markov chains, ergodic theorems, and Brownian motion. It is a comprehensive treatment concentrating on the results that are the most useful for applications. Its philosophy is that the best way to learn probability is to see it in action, so there are 200 examples and 450 problems. The fourth edition begins with a short chapter on measure theory to orient readers new to the subject.

    • More than 250 good examples and 500 exercises
    • Comprehensive treatment in only 400 pages
    • Concentrates on results useful for application
    Read more

    Reviews & endorsements

    'The author has done an extraordinary job in showing not simply what the presented theorems can be used for, but also what they cannot be used for.' Miklós Bóna, SIGACT News

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    Product details

    • Edition: 4th Edition
    • Date Published: September 2010
    • format: Adobe eBook Reader
    • isbn: 9780511910906
    • contains: 23 b/w illus. 532 exercises
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • Table of Contents

    1. Measure theory
    2. Laws of large numbers
    3. Central limit theorems
    4. Random walks
    5. Martingales
    6. Markov chains
    7. Ergodic theorems
    8. Brownian motion
    Appendix A. Measure theory details.

  • Instructors have used or reviewed this title for the following courses

    • Graduate Probability
    • Probability Math
    • Quantitative analaysis
  • Author

    Rick Durrett, Duke University, North Carolina
    Rick Durrett received his PhD in Operations Research from Stanford University in 1976. After nine years at UCLA and twenty-five at Cornell University, he moved to Duke University in 2010, where he is a Professor of Mathematics. He is the author of eight books and more than 170 journal articles on a wide variety of topics, and he has supervised more than 40 PhD students. He is a member of the National Academy of Science and the American Academy of Arts and Sciences and a Fellow of the Institute of Mathematical Statistics.

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