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Статья

On weak convergence of finite-dimensional and infinite-dimensional distributions of random processes

Theory of Stochastic Processes. 2016. Vol. 21(37). No. 1. P. 1-11.
Bogachev V., Miftakhov A.

We study conditions on metrics on spaces of measurable functions under which weak convergence of Borel probability measures on these spaces follows from weak convergence of finite-dimensional projections of the considered measures.