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Some properties of multiparameter random fields

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Abstract

We study some properties of multiparameter random fields, namely, the problems of absolute continuity of measures and averaging in the multiparameter case. For a special stochastic system, we present inequalities of large deviations.

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Authors and Affiliations

  1. Donetsk University, Donetsk

    B. V. Bondarev & G. G. Zhirnyi

Authors
  1. B. V. Bondarev
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  2. G. G. Zhirnyi
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 12, pp. 1609–1621, December, 1995.

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Bondarev, B.V., Zhirnyi, G.G. Some properties of multiparameter random fields. Ukr Math J 47, 1837–1851 (1995). https://doi.org/10.1007/BF01060958

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  • DOI: https://doi.org/10.1007/BF01060958

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