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The 2006 INFORMS Expository Writing Award-winning and best-selling
author Sheldon Ross (University of Southern California) teams up
with Erol Pekz (Boston University) to bring you this textbook for
undergraduate and graduate students in statistics, mathematics,
engineering, finance, and actuarial science. This is a guided tour
designed to give familiarity with advanced topics in probability
without having to wade through the exhaustive coverage of the
classic advanced probability theory books. Topics include measure
theory, limit theorems, bounding probabilities and expectations,
coupling and Stein's method, martingales, Markov chains, renewal
theory, and Brownian motion. No other text covers all these
advanced topics rigorously but at such an accessible level; all you
need is calculus and material from a first undergraduate course in
probability.
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