A Natural Introduction to Probability Theory

  • Ronald Meester

Table of contents

  1. Front Matter
    Pages i-x
  2. Pages 1-33
  3. Pages 71-79
  4. Pages 81-88
  5. Pages 89-92
  6. Pages 153-166
  7. Pages 167-182
  8. Back Matter
    Pages 187-197

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 ‘pro- bilistic thinking’. The combination of these two aspects makes probability theory one of the most exciting ?elds in mathematics. One can study probability as a purely mathematical enterprise, but even when you do that, all the concepts that arisedo haveameaningontheintuitivelevel.Forinstance,wehaveto de?newhat we mean exactly by independent events as a mathematical concept, but clearly, we all know that when we ?ip a coin twice, the event that the ?rst 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 ?fteen 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

Excel Limit theorems Probability theory Random variable Random walk coding mathematical statistics measure theory

Authors and affiliations

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

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-7643-8724-2
  • Copyright Information Birkhäuser Verlag AG 2008
  • Publisher Name Birkhäuser Basel
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-7643-8723-5
  • Online ISBN 978-3-7643-8724-2
  • About this book