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  • This book is no longer available to purchase from Cambridge Core
  • Cited by 1081
Publisher:
Cambridge University Press
Online publication date:
June 2012
Print publication year:
2010
Online ISBN:
9780511779398

Book description

This classic introduction to probability theory for beginning graduate students covers laws of large numbers, central limit theorems, random walks, martingales, Markov chains, ergodic theorems, and Brownian motion. It is a comprehensive treatment concentrating on the results that are the most useful for applications. Its philosophy is that the best way to learn probability is to see it in action, so there are 200 examples and 450 problems. The fourth edition begins with a short chapter on measure theory to orient readers new to the subject.

Reviews

'The author has done an extraordinary job in showing not simply what the presented theorems can be used for, but also what they cannot be used for.'

Miklós Bóna Source: SIGACT News

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