학술논문
Description of random fields by systems of conditional distributions.
Document Type
Article
Author
Source
Subject
*RANDOM fields
*MARKOV random fields
*INVERSE problems
*DISTRIBUTION (Probability theory)
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Language
ISSN
1829-1163
Abstract
In this paper, we consider the direct and inverse problems of the description of lattice positive random fields by various systems of finite-dimensional (as well as one-point) probability distributions parameterized by boundary conditions. In the majority of cases, we provide necessary and sufficient conditions for the system to be a conditional distribution of a (unique) random field. The exception is Dobrushin-type systems for which only sufficient conditions are known. Also, we discuss possible applications of the considered systems. [ABSTRACT FROM AUTHOR]