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Description
Stochastic ProcessesWell written and accessible, this classic introduction to stochastic processes and related mathematics is appropriate for advanced undergraduate students of mathematics with a knowledge of calculus and continuous probability theory. The treatment offers examples of the wide variety of empirical phenomena for which stochastic processes provide mathematical models, and it develops the methods of probability model building. Chapter 1 presents precise
Well-written and accessible, this classic introduction to stochastic processes and related mathematics is appropriate for advanced undergraduate students of mathematics with a knowledge of calculus and continuous probability theory. The treatment offers examples of the wide variety of empirical phenomena for which stochastic processes provide mathematical models, and it develops the methods of probability model-building.Chapter 1 presents precise definitions of the notions of a random variable and a stochastic process and introduces the Wiener and Poisson processes. Subsequent chapters examine conditional probability and conditional expectation, normal processes and covariance stationary processes, and counting processes and Poisson processes. The text concludes with explorations of renewal counting processes, Markov chains, random walks, and birth and death processes, including examples of the wide variety of phenomena to which these stochastic processes may be applied. Numerous examples and exercises complement every section.
Binding Type: Paperback
Publisher: Dover Publications
Published: 06/17/2015
ISBN: 9780486796888
Pages: 336
Weight: 0.95lbs
Size: 9.10h x 6.10w x 0.60d
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Product Reviews
★★★★★ 1
not worth the cost
I love these balls for night time ball playing but they dont last. The last 4 Ive bought havent worked well or lasted more than a month. They were once worth the money
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Reviewed in the United States on April 1, 2026
★★★★★ 3
Great Idea but they will let you down eventually
I have used these for years during the winter. The price has nearly tripled but the longevity is the same. I normally purchase three with one being a spare. Within a few weeks they start going. I switch batteries etc but normally that does not help. Its a great idea and my dogs love them but they dont hold up to 10 minutes of play each nite. We do not throw them either, I roll them or kick them as my dogs are older
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Reviewed in the United States on November 12, 2025
★★★★★ 5
Great product
Very good. Hours of fun with the dog.
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Reviewed in the United States on March 3, 2026
★★★★★ 2
Expensive ball- stops working in a week
Came without any protection inside for batteries. Stopped working after a week. Expensive ball to break in a week
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Reviewed in the United States on December 7, 2025
★★★★★ 5
Great ball for dogs
Murphy’s favorite ball!!!
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Reviewed in the United States on February 18, 2026