In this book we study Markov random functions of several variables. What is traditionally meant by the Markov property for a random process (a random function of one time variable) is connected to the concept of the phase state of the process and refers to the independence of the behavior of the process in the future from its behavior in the past, given knowledge of its state at the present moment. Extension to a generalized random process immediately raises nontrivial questions about the definition of a suitable" phase ...
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In this book we study Markov random functions of several variables. What is traditionally meant by the Markov property for a random process (a random function of one time variable) is connected to the concept of the phase state of the process and refers to the independence of the behavior of the process in the future from its behavior in the past, given knowledge of its state at the present moment. Extension to a generalized random process immediately raises nontrivial questions about the definition of a suitable" phase state," so that given the state, future behavior does not depend on past behavior. Attempts to translate the Markov property to random functions of multi-dimensional "time," where the role of "past" and "future" are taken by arbitrary complementary regions in an appro priate multi-dimensional time domain have, until comparatively recently, been carried out only in the framework of isolated examples. How the Markov property should be formulated for generalized random functions of several variables is the principal question in this book. We think that it has been substantially answered by recent results establishing the Markov property for a whole collection of different classes of random functions. These results are interesting for their applications as well as for the theory. In establishing them, we found it useful to introduce a general probability model which we have called a random field. In this book we investigate random fields on continuous time domains. Contents CHAPTER 1 General Facts About Probability Distributions 1."
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Add this copy of Markov Random Fields to cart. $28.83, good condition, Sold by Anybook rated 4.0 out of 5 stars, ships from Lincoln, UNITED KINGDOM, published 1982 by Springer-Verlag.
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This is an ex-library book and may have the usual library/used-book markings inside. This book has hardback covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 550grams, ISBN: 0387907084.
Add this copy of Markov Random Fields (Applications of Mathematics) to cart. $34.85, Sold by Zubal Books rated 5.0 out of 5 stars, ships from Cleveland, OH, UNITED STATES, published 1982 by Springer.
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201 pp., Hardcover, ex library, else text and binding clean and tight. -If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country.
Add this copy of Markov Random Fields (Applications of Mathematics) to cart. $82.87, very good condition, Sold by Solr Books rated 4.0 out of 5 stars, ships from Lincolnwood, IL, UNITED STATES, published 1982 by Springer.
Add this copy of Markov Random Fields (Applications of Mathematics) to cart. $83.46, good condition, Sold by Salish Sea Books rated 4.0 out of 5 stars, ships from Bellingham, WA, UNITED STATES, published 1982 by Springer-Verlag Publishing.
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Good; Hardcover; Withdrawn library copy with the standard library markings; Moderate wear to the covers; Library stamps to the endpapers; Text pages are clean & unmarked; Good binding with a straight spine; This book will be stored and delivered in a sturdy cardboard box with foam padding; Medium Format (8.5Äù Äì 9.75Äù tall); Yellow covers with title in red lettering; 1982, Springer-Verlag Publishing; 201 pages; "Markov Random Fields (Applications of Mathematics), " by Y.A. Rozanov.
Add this copy of Markov Random Fields (Applications of Mathematics) to cart. $130.10, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 1982 by Springer.
