Stochastic fields with paths in arbitrary rearrangement invariant spaces

Published 7 Sep 2014 in math.PR | (1409.2085v1)

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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