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Teoriya Veroyatnostei i ee Primeneniya, 1976, Volume 21, Issue 3, Pages 628–634
(Mi tvp3407)
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This article is cited in 2 scientific papers (total in 2 papers)
Short Communications
Families of Gaussian measures on Orlicz sequence spaces
Z. G. Gorgadze, Nguen Zuy Tien Tbilisi
Abstract:
Necessary and sufficient conditions of weak compactness of a family of Gaussian measures supported by a separable Orlicz sequence space are given. A criterion of convergence for a series of independent Gaussian random elements with values in such spaces is obtained. Analogues of classical limit theorems are proved.
Received: 02.12.1974
Citation:
Z. G. Gorgadze, Nguen Zuy Tien, “Families of Gaussian measures on Orlicz sequence spaces”, Teor. Veroyatnost. i Primenen., 21:3 (1976), 628–634; Theory Probab. Appl., 21:3 (1977), 614–620
Linking options:
https://www.mathnet.ru/eng/tvp3407 https://www.mathnet.ru/eng/tvp/v21/i3/p628
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