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# Heads or Tails: An Introduction to Limit Theorems in Probability

### About this Title

**Emmanuel Lesigne**, *Université François Rabelais, Tours, France*. Translated by **Anna Pierrehumbert**

Publication: The Student Mathematical Library

Publication Year
2005: Volume 28

ISBNs: 978-0-8218-3714-6 (print); 978-1-4704-2139-7 (online)

DOI: http://dx.doi.org/10.1090/stml/028

MathSciNet review: MR2139534

MSC: Primary 60-01; Secondary 60Fxx

### Table of Contents

**Front/Back Matter**

**Chapters**

- Prerequisites and overview
- Chapter 1. Modeling a probabilistic experiment
- Chapter 2. Random variables
- Chapter 3. Independence
- Chapter 4. The binomial distribution
- Chapter 5. The weak law of large numbers
- Chapter 6. The large deviations estimate
- Chapter 7. The central limit theorem
- Chapter 8. The moderate deviations estimate
- Chapter 9. The local limit theorem
- Chapter 10. The arcsine law
- Chapter 11. The strong law of large numbers
- Chapter 12. The law of the iterated logarithm
- Chapter 13. Recurrence of random walks
- Chapter 14. Epilogue