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This fourth-edition textbook offers a rigorous, graduate-level introduction to measure-theoretic probability. It covers foundations such as measure theory and integration, and develops core topics including the laws of large numbers, central limit theorems, random walks, martingales, Markov chains, ergodic theorems, and Brownian motion. The book emphasizes learning through practice, with about 200 examples and 450 exercises to help readers internalize both theory and applications
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Publisher: Cambridge University Press
Publishing Year: 2010
ISBN: 9780521765398
Pages: 440