Polya Urn Models
About this book
Incorporating a collection of recent results, Polya Urn Models deals with discrete probability through the modern and evolving urn theory and its numerous applications. It looks at how some classical problems of discrete probability have roots in urn models. The book covers the Polya-Eggenberger, Bernard Friedman's, the Bagchi-Pal, and the Ehrenfest urns. It also explains the processes of poissonization and depoissonization and presents applications to random trees, evolution, competitive exclusion, epidemiology, clinical trials, and random circuits. The text includes end-of-chapter exercises that range from easy to challenging, along with solutions in the back of the book.
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Information
Table of contents
- Front cover
- Dedication
- Contents
- Preface
- Acknowledgments
- Chapter 1. Urn Models and Rudiments of Discrete Probability
- Chapter 2. Some Classical Urn Problems
- Chapter 3. Polya Urn Models
- Chapter 4. Poissonization
- Chapter 5. The Depoissonization Heuristic
- Chapter 6. Urn Schemes with Random Replacement
- Chapter 7. Analytic Urns
- Chapter 8. Applications of Polya Urns in Informatics
- Chapter 9. Urn Schemes in Bioscience
- Chapter 10. Urns Evolving by Multiple Drawing
- Answers to Exercises
- Notation
- Bibliographic Notes
- Bibliography
- Name Index
- Subject Index
- Back cover
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