Prokhorov-Skorokhod continuity of random fields. A natural approach

E. Ostrovsky; L. Sirota

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arXiv · 1710.05382

Prokhorov-Skorokhod continuity of random fields. A natural approach

E. Ostrovsky·L. Sirota

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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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E. Ostrovsky, L. Sirota. 2017-10-15. Prokhorov-Skorokhod continuity of random fields. A natural approach. https://arxiv.org/abs/1710.05382

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