Armenian Journal of Mathematics, 7(2)
2015; 146–163
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Consistent Systemsof Finite Dimensional Distributions

Victor Arzumanian*, Boris Nahapetian

Received: 2024-12-18 · Published: 2015-12-10

© 2015 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Originally published in Armenian Journal of Mathematics, 7(2), 2015.

Original title
Consistent Systemsof Finite Dimensional Distributions
Authors
Victor Arzumanian, Boris Nahapetian
Source journal
Armenian Journal of Mathematics, 7(2)
Published
2015-12-10
Licence
Creative Commons Attribution 4.0 International
Original
https://armjmath.sci.am/index.php/ajm/article/view/117

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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