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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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★★★★★ 1
Weak battery base on saw module.
Style: 4.0ah Battery Included
Probably would work for light duty. I used this thing less than 8 hours (less than a single day of work) and the saw broke at the base that it connects to the extension pole.
The motor on the saw itself seemed powerful enough. It got hung up in a branch and then broke on one side of the battery slide in (which was connected to the pole extension, as per the saw's design)
Probably buy a more durable one if you're really planning on doing some work with it. Bet it was made for city people.
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Reviewed in the United States on February 18, 2026
★★★★★ 5
You won’t be disappointed
Style: 4.0ah Battery Included
Great product .Well worth every penny. Simple to assemble and operate. Easily cut down a 12 inch diameter 30 foot silver maple. Great tool.
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Reviewed in the United States on May 29, 2026
★★★★★ 4
Quality product but chain comes off often
Style: 4.0ah Battery Included
Good quality, good weight, only con is chain gets loose often and consumes lots of oil.
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Reviewed in the United States on February 23, 2026
★★★★★ 5
Convenient and powerful
Style: 4.0ah Battery Included
This 2-in-1 electric pole saw works great for trimming tall branches without needing a ladder.
The 14.5 ft extension reach makes it easy to cut high branches safely from the ground.
It has strong cutting power, and the 10-inch chainsaw blade handles thicker branches well.
The compatible Dewalt 20V battery and included 4.0Ah battery provide good runtime.
Overall, it’s a convenient and powerful tool for yard pruning and tree maintenance. 🌳
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Reviewed in the United States on March 3, 2026
★★★★★ 5
Amazing Pole Saw! Look no further!
Style: 4.0ah Battery Included
My DeWalt pole saw broke (after 2 years of occasional use) so I bought this one. I wasn't expecting much. To my surprise, this new off-brand pole saw is awesome!
It's well built. You can use the saw without the pole (which you can't do with DeWalt). It has a battery indicator LED screen on the top of the saw. DeWalt doesn't.
It comes with a battery that can charge two different ways. You can use a DeWalt charger or you can plug the charger that comes with it into the top of the unit.
The saw comes fully assembled except for the handle. The bar and chain are all ready setup and dialed in (an industry first)!
It came with everything needed to operate except for the chain oil. Even came with a screw driver to put the handle on.
The chain that comes with it isnt great but it cuts. It actually cut extremely well but dulled after about an hour of nonstop use.
Most importantly, it cuts just as good as my DeWalt pole saw. Dead serious.
This is an awesome saw. Comparable to DeWalt. Buy one before they sell out and you can't find em anymore. I had a hard time finding this saw on Amazon. I saw a review for it on YouTube and had to use the affiliate link to find it. There were a ton of other pole saws that looked almost identical. I can't speak to them - but this one is a no-brainer. An absolute steal at the price!
I don't work in tree service any more and wouldn't use it if I did, but I am a contractor and from time to time I need a pole saw and this one fits the bill.
This isn't a sponsored review. I used my own money to buy it and I'm not affiliated with the company in any way.
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Reviewed in the United States on November 22, 2025