Exercises in probability : a guided tour from measure theory to random processes, via conditioning

Bibliographic Information

Exercises in probability : a guided tour from measure theory to random processes, via conditioning

L. Chaumont and M. Yor

(Cambridge series on statistical and probabilistic mathematics)

Cambridge University Press, 2003

Available at  / 26 libraries

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Note

Bibliography: p. 229-233

Includes index

Description and Table of Contents

Description

This book was first published in 2003. Derived from extensive teaching experience in Paris, this book presents around 100 exercises in probability. The exercises cover measure theory and probability, independence and conditioning, Gaussian variables, distributional computations, convergence of random variables, and random processes. For each exercise the authors have provided 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.

Table of Contents

  • 1. Measure theory and probability
  • 2. Independence and conditioning
  • 3. Gaussian variables
  • 4. Distributional computations
  • 5. Convergence of random variables
  • 6. Random processes.

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Details

  • NCID
    BA64749457
  • ISBN
    • 0521825857
  • Country Code
    uk
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Cambridge, U.K.
  • Pages/Volumes
    xv, 236 p.
  • Size
    26 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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