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Description
Introduction to Stochastic ModelsNewly revised by the author, this undergraduate level text introduces the mathematical theory of probability and stochastic processes. Using both computer simulations and mathematical models of random events, it comprises numerous applications to the physical and biological sciences, engineering, and computer science. Subjects include sample spaces, probabilities distributions and expectations of random variables, conditional expectations, Markov
Newly revised by the author, this undergraduate-level text introduces the mathematical theory of probability and stochastic processes. Using both computer simulations and mathematical models of random events, it comprises numerous applications to the physical and biological sciences, engineering, and computer science. Subjects include sample spaces, probabilities distributions and expectations of random variables, conditional expectations, Markov chains, and the Poisson process. Additional topics encompass continuous-time stochastic processes, birth and death processes, steady-state probabilities, general queuing systems, and renewal processes. Each section features worked examples, and exercises appear at the end of each chapter, with numerical solutions at the back of the book. Suggestions for further reading in stochastic processes, simulation, and various applications also appear at the end.Binding Type: Paperback
Publisher: Dover Publications
Published: 04/21/2006
ISBN: 9780486450377
Pages: 355
Weight: 1.02lbs
Size: 9.22h x 6.12w x 0.73d
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4.8 ★★★★★
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Product Reviews
★★★★★ 5
Perfect for HEAVY chewers
Color: Onyx Black - Most Durable
My dog is a heavy chewer. Destroys everything that’s not very hard rubber, hard plastic, or hard material. He LOVES this ball. I think it’s his favorite. Plus, it bounces great so you can play with your dog. Very well constructed- probably indestructible or will at least last a very long time. Easily worth the money.
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Reviewed in the United States on February 7, 2026
★★★★★ 5
The only toy my dogs can’t destroy and love
Color: Onyx Black - Most Durable
I am thrilled to have found one toy my dogs don’t destroy immediately. They have torn up Fenrir hammers, the black kongs of all sizes, the monster k9 stick, nylabones, and they don’t like the goughnut at all (it stinks like a bad tire). This is the first one they both love and haven’t been able to destroy immediately. It does allow little tooth marks, but that’s what makes it fun for them. They are very happy playing with it and I’d say this one was worth every dollar.
Update Months Later: We’ve gone through 2/3 now. I got two initially, and one has lasted long term. They still haven’t completely destroyed it. They did destroy a second one quickly so I suspect a flaw in it. They sent me a new one and they took a while, but they did destroy the third to the point we had to throw it away. Despite that, one still remains and our dogs still love it. It’s still the best for the money compared to others. We have two Bully XL’s that are each close to 100 pounds.
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Reviewed in the United States on April 11, 2024
★★★★★ 5
Indestructible
Color: Onyx Black - Most Durable
This is actually indestrutible! Be careful though, it's wicked hard/heavy. It isn't a ball you want banging into things. Use outside!!
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Reviewed in the United States on April 23, 2026
★★★★★ 4
Not indestructible, but the best I’ve found
Color: Onyx Black - Most Durable, Color: Onyx Black - Most Durable
This thing is unexpectedly heavy for its size. My 18 month old Giant Schnauzer is obsessed with fetch but destroys every ball she gets. The other brands marketed for extreme chewers tend to last about a day or two before they’re totally shredded. She’s had this one for about 2 weeks and it’s looking rough, but still holding together for the most part. I appreciate that as it comes apart it does so in little pieces rather than large chunks. While it’s far from indestructible, it’s the strongest I’ve found so far.
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Reviewed in the United States on April 21, 2026
★★★★★ 5
Great product!
Color: Onyx Black - Most Durable
Great product! Quickly became my Pit Princess's favorite toy! The size, weight, and material is perfect for a big dog. Now we have fetch ball that has proven itself to be worthy!
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Reviewed in the United States on May 8, 2026