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    Author(s)

    Victor Arzumanian Victor Arzumanian, PhD. Boris Nahapetian — Academia (Universities, Colleges and other higher learning entities) (Institute of Mathematics, NAS of Armenia, 24/5 Baghramian Ave., Yerevan, 0019, Armenia)
    Category: Mathematics
    DOI: https://armjmath.sci.am/index.php/ajm/article/view/117
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      Consistent Systemsof Finite Dimensional Distributions

      Victor Arzumanian Victor Arzumanian, PhD. Boris Nahapetian — Academia (Universities, Colleges and other higher learning entities) (Institute of Mathematics, NAS of Armenia, 24/5 Baghramian Ave., Yerevan, 0019, Armenia)
      This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

      Submitted: 2024-12-18; Published: 2015-12-10
      © 2025 by author(s) and The Gufo Inc.
      CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

      Abstract

      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.

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