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Description
Counterexamples in Probability: Third EditionMost mathematical examples illustrate the truth of a statement; conversely, counterexamples demonstrate a statement's falsity if changing the conditions. Mathematicians have always prized counterexamples as intrinsically enjoyable objects of study as well as valuable tools for teaching, learning, and research. This third edition of the definitive book on counterexamples in probability and stochastic processes presents the author's revisions and
Most mathematical examples illustrate the truth of a statement; conversely, counterexamples demonstrate a statement's falsity if changing the conditions. Mathematicians have always prized counterexamples as intrinsically enjoyable objects of study as well as valuable tools for teaching, learning, and research. This third edition of the definitive book on counterexamples in probability and stochastic processes presents the author's revisions and corrections in addition to a substantial new appendix.Suitable as a supplementary source for advanced undergraduates and graduate courses in the field of probability and stochastic processes, this volume features a wide variety of topics that are challenging in both content and detail. The text consists of four chapters and twenty-five sections. Each section begins with short introductory notes of basic definitions and main results. Counterexamples related to the main results follow, along with motivation for questions and counterstatements that range in difficulty. A familiarity with basic notions and results in probability and stochastic processes is assumed, and a chapter of supplementary remarks provides a wealth of information about original sources as well as references for further studies.
Binding Type: Paperback
Publisher: Dover Publications
Published: 01/15/2014
ISBN: 9780486499987
Pages: 400
Weight: 1.00lbs
Size: 8.40h x 5.50w x 1.00d
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★★★★★ 4
Chew toy
Color: Red
It’s a great chew toy for dogs and definitely keeps them entertained for hours however, it’s not durable enough for really strong chewers. I have two pitbull puppies and in five days he tore the end off of it. I do recommend for medium sized dogs.
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Reviewed in the United States on August 19, 2025
★★★★★ 5
Nice toy.
Color: Orange
As described.
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Reviewed in the United States on April 18, 2026
★★★★★ 1
Not indestructible
Color: Orange
says it’s indestructible, but within an hour and a half it was destructed. There was a hole in the teeth area and it wasn’t squeaking.
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Reviewed in the United States on October 12, 2025
★★★★★ 5
Good ball.
Color: Orange
It was well made, very sturdy.
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Reviewed in the United States on May 9, 2026
★★★★★ 4
Fun ball for my big Golden Retriever!'
Color: Orange, Color: Orange
It's big and has some weight to it in comparison with ither balls that hardly weigh anything. My 4 year old Golden Retriever can get his jaws around it only just! The squeaky is tough to get squeaking especially if you have a smaller dog. My dog is about 100 lbs and can just barely bite it hard enough to make it squeak. Very cute toy and I pretty sure this is going to last him a long time because it really seems very durable! He loves it!
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Reviewed in the United States on January 21, 2026
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