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Description
Finite Markov Processes and Their ApplicationsA self contained treatment of finite Markov chains and processes, this text covers both theory and applications. Author Marius Iosifescu, vice president of the Romanian Academy and director of its Center for Mathematical Statistics, begins with a review of relevant aspects of probability theory and linear algebra. Experienced readers may start with the second chapter, a treatment of fundamental concepts of homogeneous finite Markov chain theory that
A self-contained treatment of finite Markov chains and processes, this text covers both theory and applications. Author Marius Iosifescu, vice president of the Romanian Academy and director of its Center for Mathematical Statistics, begins with a review of relevant aspects of probability theory and linear algebra. Experienced readers may start with the second chapter, a treatment of fundamental concepts of homogeneous finite Markov chain theory that offers examples of applicable models.The text advances to studies of two basic types of homogeneous finite Markov chains: absorbing and ergodic chains. A complete study of the general properties of homogeneous chains follows. Succeeding chapters examine the fundamental role of homogeneous infinite Markov chains in mathematical modeling employed in the fields of psychology and genetics; the basics of nonhomogeneous finite Markov chain theory; and a study of Markovian dependence in continuous time, which constitutes an elementary introduction to the study of continuous parameter stochastic processes.
Binding Type: Paperback
Publisher: Dover Publications
Published: 06/05/2007
ISBN: 9780486458694
Pages: 295
Weight: 0.69lbs
Size: 8.53h x 5.83w x 0.61d
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4.5 ★★★★★
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Product Reviews
★★★★★ 5
Love the Stretch
I have two 15 ish pound dogs that love to pull and tug on this toy...all day long, every day. It's long enough for the humans in the house to also grab an end and not worry about getting nipped by playful pups. The fact that it stretches seems to be even more fun for the dogs. We have several other similar unstuffed long toys but they get very little attention. This toy is definitely unique and a cut above the other similar toys. The stretch seems to make all of the difference. If they had more animal choices, I would buy them all.
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Reviewed in the United States on September 3, 2023
★★★★★ 5
So cute!
Good size toy, but my 1yr old Jack Russell is NB match for it. It’s good quality and I’m sure it would last longer with a less aggressive chewer.
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Reviewed in the United States on February 9, 2025
★★★★★ 5
Dog loves it! Squeaky on both ends!
Bungee rope is not as resistant as I wished, but its fun nonetheless!
Squeaks in head and tail. Misssteped the tail and broke one squeaker, still fun though!
Toy can handle a beating. Really happy with it!
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Reviewed in the United States on May 25, 2022
★★★★★ 5
My dogs loves this toy
I got a few different toys for them today. I need to go through their toybox and get rid of some of the older ones. I can tell the youngster loves the toys. He has taken them into one of the crates and sat with them. Then he brought them back out. He fell asleep with his head against one of them. He has been playing tug of war with this one. And the older one has been running around with it too. Pup already pulled one eye off of this one. But the toy is intact.
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Reviewed in the United States on November 9, 2020
★★★★★ 3
SPOT Bungee Raccoon
Purchased 5/20. Decent dog toy. I have a Chiyorkie and he chews on his toys constantly. The squeakers went after a couple of days and then he pulled them out. I put them in the trash. After about two months he had chewed off the head and pulled the bungee out. The bungee went in the trash. I let him play with head and tail pieces for a while but the head had gotten into bad shape so in the trash it went. That left about a twelve inch piece left. He has been playing with that now about a month. He loved tearing the toy up and I do not really blame the toy. He rips up anything that is made of cloth. The only real issue I have with the toy is the two squeakers. IMO they could cause a choking or bowel blocking hazard. I just happened to catch him chewing on them after he had gotten them back. An old knotted on each end knee sock works just about as well but from then on don't leave your socks laying around. They will be fair game for you pet. lol
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Reviewed in the United States on August 26, 2020