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arXiv · 1409.2085

Stochastic fields with paths in arbitrary rearrangement invariant spaces

E. Ostrovsky·L. Sirota
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Abstract

We obtain sufficient conditions for belonging of almost all paths of a random process to some fixed rearrangement invariant (r.i.) Banach functional space, and to satisfying the Central Limit Theorem (CLT) in this space. We describe also some possible applications.

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E. Ostrovsky, L. Sirota. 2014-09-07. Stochastic fields with paths in arbitrary rearrangement invariant spaces. https://arxiv.org/abs/1409.2085

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