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arXiv · 1610.00191

Discovering of boundedness and continuity of random fields by means of partition entropic scheme

Eugene Ostrovsky·Leonid Sirota
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Abstract

We construct a new sufficient conditions for boundedness or continuity of arbitrary random fields relying on the so-called partition scheme, alike in the classical majorizing measure method. We deduce also the used in the practice (statistics, method Monte-Carlo etc.) exact exponential estimates for tail of distribution of maximum for random field satisfying formulated in this report conditions.

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Eugene Ostrovsky, Leonid Sirota. 2016-10-01. Discovering of boundedness and continuity of random fields by means of partition entropic scheme. https://arxiv.org/abs/1610.00191

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