Geodesic
On weak convergence of finite-dimensional and infinite-dimensional distributions of random processes
Teoriâ slučajnyh processov, Tome 21 (2016) no. 1, pp. 1-11

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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.
Keywords: Convergence in measure, weak convergence, finite-dimensional distributions. 
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     author = {V. I. Bogachev and A. F. Miftakhov},
     title = {On weak convergence of finite-dimensional and infinite-dimensional distributions of random processes},
     journal = {Teori\^a slu\v{c}ajnyh processov},
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     publisher = {mathdoc},
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     number = {1},
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     url = {http://geodesic.mathdoc.fr/item/THSP_2016_21_1_a0/}
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V. I. Bogachev; A. F. Miftakhov. On weak convergence of finite-dimensional and infinite-dimensional distributions of random processes. Teoriâ slučajnyh processov, Tome 21 (2016) no. 1, pp. 1-11. http://geodesic.mathdoc.fr/item/THSP_2016_21_1_a0/