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Now in its new third edition, Probability and Measure offers advanced students, scientists, and engineers an integrated introduction to measure theory and probability. Retaining the unique approach of the previous editions, this text interweaves material on probability and measure, so that probability problems generate an interest in measure theory and measure theory is then developed and applied to probability. Probability and Measure provides thorough coverage of probability, measure, integration, random variables and expected values, convergence of distributions, derivatives and conditional probability, and stochastic processes. The Third Edition features an improved treatment of Brownian motion and the replacement of queuing theory with ergodic theory.

Like the previous editions, this new edition will be well received by students of mathematics, statistics, economics, and a wide variety of disciplines that require a solid understanding of probability theory.
--back cover

608 pages, Hardcover

First published January 1, 1979

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Patrick Billingsley

19 books1 follower

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5 stars
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25 (41%)
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5 (8%)
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3 (5%)
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Displaying 1 - 9 of 9 reviews
Profile Image for Nour.
4 reviews5 followers
December 17, 2014
in the general probability is somthing hard to understand , other thing the book was hard to read it , but it is interesting
Profile Image for Tinwerume.
67 reviews10 followers
February 20, 2021
Overall I'm quite happy with it, although then again I am comparing against Kallenberg so maybe my baseline is just skewed.

I also only read chapters 5 and 6 (convergence and conditionals), although I'd be surprised if earlier chapters were worse given the relatively easier material.
Profile Image for Javier Burroni.
3 reviews3 followers
August 10, 2020
Almost any book on formal probability ends up referring to this book at some point.
Therefore, it’s better to just begin with this one.
It is worth to mention that it’s contained
82 reviews1 follower
December 8, 2021
Both concise and understandable (rare combination), really good examples, exercises were a bit challenging
Profile Image for Steven Knox.
Author 1 book3 followers
December 25, 2022
This book succeeds at its apparent goal: be a single, self-contained work on measure-theoretic probability. Having worked through Billingsley's book, if someone asked me how to learn measure-theoretic probability my answer would be to work through a book on measure theory (say, Royden's Real Analysis https://www.goodreads.com/book/show/2...) without probability, and then read Kolmogorov's seminal work Foundations of the Theory of Probability which applies measure theory to probability (https://www.goodreads.com/book/show/9...).
Profile Image for Jerzy.
516 reviews124 followers
Want to read
September 23, 2008
Browsing through, this seems fairly well-written -- but I should wait until I've picked up some more background in real analyis.
Displaying 1 - 9 of 9 reviews

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