Consistent Systemsof Finite Dimensional Distributions Victor Arzumanian Victor Arzumanian
In the paper we discuss the problem of descriptionof random fields by means of systems of finite dimensional prob-ability distributions.We present from a unified point of view a survey of the varioussuch systems associated with random fields.Then general system of finite dimensional distributions with asuitable consistency condition is introduced. The properties, re-lations with other systems, as well as the problems of existenceand uniqueness of the corresponding random fields are discussed.
DOI: https://armjmath.sci.am/index.php/ajm/article/view/117 Armenian Journal of Mathematics, 7(2) 146-163
