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

2nd Edition

$49.00 USD

Part of Cambridge Series in Statistical and Probabilistic Mathematics

  • Date Published: July 2012
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9781139534802

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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

    'In conclusion, 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.' Society for Industrial and Applied Mathematics

    '… extremely useful for graduate and postgraduate students and those who want to better understand advanced probability theory.' European Mathematical Society Newsletter

    '… although the book could profitably be used as a companion to a graduate course in probability theory, it is probably best designed for the doctoral student who can read it alongside the source material. Used in that way, the book is a magnificent resource … consistency and clarity of mathematical style … For beginning researchers in stochastic mathematics, this book comes highly recommended and libraries should obtain a copy.' Journal of the Royal Statistical Society: Series A

    'This book, written in an inspiring style, can be used together with almost any advanced course and strongly recommend to doctoral and master students in the area of probability and stochastic processes. Young researchers and university teachers as well as professionals can benefit a lot from this book.' Jordan M. Stoyanov, Zentralblatt MATH

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    Product details

    • Edition: 2nd Edition
    • Date Published: July 2012
    • format: Adobe eBook Reader
    • isbn: 9781139534802
    • contains: 120 exercises
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • 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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