Prokhorov-Skorokhod continuity of random fields. A natural approach
Probability
2017-10-17 v1
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.
Cite
@article{arxiv.1710.05382,
title = {Prokhorov-Skorokhod continuity of random fields. A natural approach},
author = {E. Ostrovsky and L. Sirota},
journal= {arXiv preprint arXiv:1710.05382},
year = {2017}
}