| 书目名称 | Markov Random Fields | | 编辑 | Yu. A. Rozanov | | 视频video | | | 图书封面 |  | | 描述 | 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 diffe | | 出版日期 | Book 1982 | | 关键词 | Brownian motion; Conditional probability; Fields; Markov property; Probability distribution; Probability | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4613-8190-7 | | isbn_softcover | 978-1-4613-8192-1 | | isbn_ebook | 978-1-4613-8190-7 | | copyright | Springer-Verlag New York Inc. 1982 |
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发表于 2025-3-21 18:23:09
