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Functional law of the iterated logarithm for fields and its applications

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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.

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Authors
  1. B. V. Bondarev
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  2. G. G. Zhirnyi
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Additional information

Donetsk University, Donetsk. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 7, pp. 883–894, July, 1997.

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Bondarev, B.V., Zhirnyi, G.G. Functional law of the iterated logarithm for fields and its applications. Ukr Math J 49, 989–1002 (1997). https://doi.org/10.1007/BF02528744

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  • DOI: https://doi.org/10.1007/BF02528744

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