A projective limit theorem for probability spaces and applications
Teoriâ veroâtnostej i ee primeneniâ, Tome 38 (1993) no. 2, pp. 345-355
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A new complex of assumptions giving the existence of the projective limit of a projective system of probability spaces is given. This complex consists of regularity and conditions of almost separability and sequential maximality. The result obtained supplements the corresponding results of Choksi and Mallory and Sion.
Keywords:
projective system of probability spaces, projective limit, regular conditional probability, almost separable system, sequential maximality.
@article{TVP_1993_38_2_a7,
author = {M. M. Rao and V. V. Sazonov},
title = {A projective limit theorem for probability spaces and applications},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {345--355},
year = {1993},
volume = {38},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1993_38_2_a7/}
}
M. M. Rao; V. V. Sazonov. A projective limit theorem for probability spaces and applications. Teoriâ veroâtnostej i ee primeneniâ, Tome 38 (1993) no. 2, pp. 345-355. http://geodesic.mathdoc.fr/item/TVP_1993_38_2_a7/