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Description
A Graduate Course in ProbabilitySuitable for a graduate course in analytic probability theory, this text requires no previous knowledge of probability and only a limited background in real analysis. In addition to providing instruction for graduate students in mathematics and mathematical statistics, the book features detailed proofs that offer direct access to the basic theorems of probability theory for mathematicians of all interests. The treatment strikes a balance between
Suitable for a graduate course in analytic probability theory, this text requires no previous knowledge of probability and only a limited background in real analysis. In addition to providing instruction for graduate students in mathematics and mathematical statistics, the book features detailed proofs that offer direct access to the basic theorems of probability theory for mathematicians of all interests.The treatment strikes a balance between measure-theoretic aspects of probability and distribution aspects, presenting some of the basic theorems of analytic probability theory in a cohesive manner. Statements are rendered as simply as possible in order to make them easy to remember and to demonstrate the essential idea behind each proof. Topics include probability spaces and distributions, stochastic independence, basic limiting operations, strong limit theorems for independent random variables, the central limit theorem, conditional expectation and Martingale theory, and an introduction to stochastic processes, particularly Brownian motion. Each section concludes with problems that reinforce the preceding material.
Binding Type: Paperback
Publisher: Dover Publications
Published: 02/20/2014
ISBN: 9780486493039
Pages: 273
Weight: 0.85lbs
Size: 8.90h x 6.00w x 0.60d
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★★★★★ 5
Best socks!
Size: Medium, Color: Blue
I love these socks! They last for years and they fit so nicely on my feet. I love that I can wear the in tennis shoes or wool boots and they never move!
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Reviewed in the United States on October 21, 2025
★★★★★ 1
TOO SMALL
Size: Medium, Color: Blue
Nice socks, but they are way too small. Says they fit size 6 - 10. I kept 3 ( I wear size 8) and gave 3 to my daughter (size 8.5). We both agreed that they were just too small.
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Reviewed in the United States on May 12, 2026
★★★★★ 5
Style and comfort
Size: Medium, Color: Black
Exactly what I was looking for. Style and sock thickness and comfort.
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Reviewed in the United States on December 14, 2025
★★★★★ 5
Comfortable
Size: Medium, Color: Blue
So comfortable! They stay up perfectly love love love
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Reviewed in the United States on December 7, 2025
★★★★★ 5
Great socks
My fav socks. I am a size 9 women’s and they fit perfect. They are soft and comfortable
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Reviewed in the United States on April 16, 2026