Theory of Probability and Random Processes

Theory of Probability and Random Processes
ISBN-10
3540254846
ISBN-13
9783540254843
Category
Mathematics
Pages
353
Language
English
Published
2007-09-25
Publisher
Springer Science & Business Media
Authors
Yakov G. Sinai, Leonid Koralov

Description

A one-year course in probability theory and the theory of random processes, taught at Princeton University to undergraduate and graduate students, forms the core of this book. It provides a comprehensive and self-contained exposition of classical probability theory and the theory of random processes. The book includes detailed discussion of Lebesgue integration, Markov chains, random walks, laws of large numbers, limit theorems, and their relation to Renormalization Group theory. It also includes the theory of stationary random processes, martingales, generalized random processes, and Brownian motion.

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