Description of random fields by systems of conditional distributions

Armenian Journal of Mathematics

article

Linda Khachatryan¹ 

[1] Institute of Mathematics, National Academy of Science of RA

关键词: Random field;    conditional distribution;    specification;    Markov random field;   

DOI  :  10.52737/18291163-2022.14.8-1-40

学科分类：环境科学（综合）

来源: National Academy of Sciences of the Republic of Armenia

【 摘 要 】

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.

【 授权许可】

CC BY