A Natural Introduction to Probability Theory

  • Ronald Meester

Table of contents

  1. Front Matter
    Pages i-xi
  2. Ronald Meester
    Pages 1-31
  3. Ronald Meester
    Pages 33-66
  4. Ronald Meester
    Pages 67-74
  5. Ronald Meester
    Pages 75-86
  6. Ronald Meester
    Pages 87-129
  7. Ronald Meester
    Pages 131-145
  8. Ronald Meester
    Pages 147-160
  9. Ronald Meester
    Pages 161-175
  10. Ronald Meester
    Pages 177-180
  11. Back Matter
    Pages 181-192

About this book

Introduction

According to Leo Breiman (1968), probability theory has a right and a left hand. The right hand refers to rigorous mathematics, and the left hand refers to 'proba­ bilistic thinking'. The combination of these two aspects makes probability theory one of the most exciting fields in mathematics. One can study probability as a purely mathematical enterprise, but even when you do that, all the concepts that arise do have a meaning on the intuitive level. For instance, we have to define what we mean exactly by independent events as a mathematical concept, but clearly, we all know that when we flip a coin twice, the event that the first gives heads is independent of the event that the second gives tails. Why have I written this book? I have been teaching probability for more than fifteen years now, and decided to do something with this experience. There are already many introductory texts about probability, and there had better be a good reason to write a new one. I will try to explain my reasons now.

Keywords

Branching process Limit theorems Poisson process Random Walk Random variable measure theory probability theory statistics

Authors and affiliations

  • Ronald Meester
    • 1
  1. 1.Faculteit der Exacte WetenschappenVrije UniversiteitAmsterdamThe Netherlands

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-0348-7786-2
  • Copyright Information Birkhäuser Basel 2003
  • Publisher Name Birkhäuser, Basel
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-7643-2188-8
  • Online ISBN 978-3-0348-7786-2
  • About this book