Exercises in Probability
eBook - PDF

Exercises in Probability

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

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Exercises in Probability

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

About this book

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.

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Yes, you can access Exercises in Probability by Loïc Chaumont,Marc Yor in PDF and/or ePUB format, as well as other popular books in Mathematics & Probability & Statistics. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Exercises in Probability
  3. Series
  4. Title
  5. Copyright
  6. Dedication
  7. Contents
  8. Preface to the second edition
  9. Preface to the first edition
  10. Some frequently used notations
  11. Chapter 1: Measure theory and probability
  12. Chapter 2: Independence and conditioning
  13. Chapter 3: Gaussian variables
  14. Chapter 4: Distributional computations
  15. Chapter 5: Convergence of random variables
  16. Chapter 6: Random processes
  17. Where is the notion N discussed ?
  18. Final suggestions: how to go further ?
  19. References
  20. Index