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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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★★★★★ 4
Lightweight Balls
Color: A.Orange+Blue+Green
lightweight but solid. Unfortunately, I can't bring to dog park for my dog to play with as the larger dogs will destroy them. Not for dogs that chew through everything.
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Reviewed in the United States on January 31, 2026
★★★★★ 5
Fun ball
It doesn’t last a whole long time, but she loves it! It’s crazy and it drives her playfulness crazy!
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Reviewed in the United States on February 8, 2026
★★★★★ 2
No squeak balls
Color: A.Green+Orange
They don’t squeak. They bounce much either.
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Reviewed in the United States on March 25, 2026
★★★★★ 3
Too big for puppies
Color: A.Green+Orange
The balls were a bit too big for my 6 month chihuahuas:/ they are as big as a tennis ball so puppies didn’t like nor play with them
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Reviewed in the United States on April 26, 2026
★★★★★ 5
Frenchie approved
Color: A.Orange+Blue+Green
Frenchie approved
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Reviewed in the United States on May 6, 2026