Publication Details:
«ՀՀ ԳԱԱ Տեղեկագիր: Մաթեմատիկա»-ն լույս է տեսնում 1966 թվականից՝ տարին 6 անգամ։
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Title:
Description of random fields by means of one-point finite-conditional distributions
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Creator:
A. S. Dalalyan ; B. S. Nahapetian
Contributor(s):
Գլխավոր խմբ․՝ Մ․ Մ․ Ջրբաշյան (1966-1994) ; Ռ․ Վ․ Համբարձումյան (1994-2009) ; Ա․ Ա․ Սահակյան (2010-)
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Uncontrolled Keywords:
Random field; one-point conditional distribution; mixing properties.
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Abstract:
The aim of this note is to investigate the relationship between strictly positive random fields on a lattice Zv and the conditional probability measures at one point given the values on a finite subset of the lattice Zv . We exhibit necessary and sufficient conditions for a one-point finite-conditional system to correspond to a unique strictly positive probability measure. It is noteworthy that the construction of the aforementioned probability measure is done explicitly by some simple procedure. Finally, we introduce a condition on the one-point finite conditional system that is sufficient for ensuring the mixing of the underlying random field.
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Երևան
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ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան