Polya Urn Models

Incorporating a collection of recent results, Pólya 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 Pólya–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.