Prokhorov-Skorokhod continuity of random fields. A natural approach

Published 15 Oct 2017 in math.PR | (1710.05382v1)

Abstract: We derive in this article sufficient conditions in the natural terms for belonging of almost all the trajectories of the certain separable continuous in probability random field to the multivariate Prokhorov-Skorokhod space. We consider also as a consequence the Central Limit Theorem in this spaces.

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