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Exercises in Probability
A Guided Tour from Measure Theory to Random Processes, via Conditioning

2nd Edition

$60.99 (P)

Part of Cambridge Series in Statistical and Probabilistic Mathematics

  • Date Published: September 2012
  • availability: Available
  • format: Paperback
  • isbn: 9781107606555

$ 60.99 (P)
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About the Authors
  • Derived from extensive teaching experience in Paris, this second edition now includes over 100 exercises in probability. New exercises have been added to reflect important areas of current research in probability theory, including infinite divisibility of stochastic processes, past-future martingales and fluctuation theory. For each exercise the authors provide detailed solutions as well as references for preliminary and further reading. There are also many insightful notes to motivate the student and set the exercises in context. Students will find these exercises extremely useful for easing the transition between simple and complex probabilistic frameworks. Indeed, many of the exercises here will lead the student on to frontier research topics in probability. Along the way, attention is drawn to a number of traps into which students of probability often fall. This book is ideal for independent study or as the companion to a course in advanced probability theory.

    • Class tested at the prestigious Paris school
    • Includes detailed solutions to all exercises as well as references to the literature and contextual notes
    • Second Edition includes new exercises, open problems and references to recent literature
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    Reviews & endorsements

    Of the first edition:
    "...a very appealing and valuable book for independent study or as a companion book in advanced probability theory courses. Highly recommended."
    Choice Magazine

    Of the first edition:
    "This is an excellent book, which should be in every library, and also on the bookshelf of anyone with interests in advanced probability and random processes."
    SIAM Review

    Of the first edition:
    "...a magnificent resource, not just in terms of shearing recent research results to their core but in encouraging putative researchers to think of an interplay between finite and infinite dimensional viewpoints for a given problem. In that sense, the authors take us into the mind of the researcher...For beginning researchers in stochastic mathematics, this book comes highly recommended and libraries should obtain a copy."
    Journal of the Royal Statistical Society

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    Product details

    • Edition: 2nd Edition
    • Date Published: September 2012
    • format: Paperback
    • isbn: 9781107606555
    • length: 300 pages
    • dimensions: 254 x 178 x 16 mm
    • weight: 0.53kg
    • contains: 120 exercises
    • availability: Available
  • Table of Contents

    Preface to the Second Edition
    Preface to the First Edition
    1. Measure theory and probability
    2. Independence and conditioning
    3. Gaussian variables
    4. Distributional computations
    5. Convergence of random variables
    6. Random processes
    Where is the notion N discussed?
    Final suggestions: how to go further?
    References
    Index.

  • Authors

    Loïc Chaumont, Université d'Angers, France
    Loïc Chaumont is a Professor in the Laboratoire Angevin de Recherche en Mathématiques (LAREMA) at Université d'Angers.

    Marc Yor, Université de Paris VI (Pierre et Marie Curie)
    Marc Yor is a Professor in the Laboratoire de Probabilités et Modèles Aléatoires at Université Pierre et Marie Curie (Paris VI).

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