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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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★★★★★ 1
Size is wayyyyy off
Size: X-Large, Color: Black
Super small ain’t no way this is an X-Large
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Reviewed in the United States on May 7, 2026
★★★★★ 5
Runs small
Size: 3T, Color: Black
Runs just a little small. Maybe upsize, but great otherwise!
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Reviewed in the United States on February 28, 2026
★★★★★ 5
I was delighted with the quality and color
Size: X-Small, Color: Lilac
This is a super cute, and frankly, fairly high fashion little hoodie. The price was great for what it is. Really nice soft (terry?) inside. Double fabric hood. Really soft. It has an oversized cut which makes it easy to get on and off, but is just the right length to make the sizing look great and intentional - it doesn't look too big. I love the color. It's high quality, and I didn't notice any shrinkage. Even the hood is cut in a chic way. Not your average kids' hoodie.
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Reviewed in the United States on October 26, 2025
★★★★★ 4
will shrink when dried.
good quality buy runs a little small.
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Reviewed in the United States on April 24, 2026
★★★★★ 5
Cutest hoody for toddlers
Size: 3T, Color: Lilac
Amazing!! The cutest colour. Got it for my niece who is 2- got a size 3T and it’s fits perfect so I would definitely size up
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Reviewed in the United States on March 2, 2026