2017
Том 69
№ 5

All Issues

Functional law of the iterated logarithm for fields and its applications

Bondarev B. V., Zhirnyi G. G.

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Abstract

For a Wiener field with an arbitrary finite number of parameters, we construct the law of the iterated logarithm in the functional form. We consider the problem for random fields of a certain type to reside within curvilinear boundaries without assuming that the Cairoli—Walsh condition is satisfied.

English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 7, pp 989-1002.

Citation Example: Bondarev B. V., Zhirnyi G. G. Functional law of the iterated logarithm for fields and its applications // Ukr. Mat. Zh. - 1997. - 49, № 7. - pp. 883–894.

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