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Teoriya Veroyatnostei i ee Primeneniya, 1995, Volume 40, Issue 3, Pages 495–507
(Mi tvp3445)
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This article is cited in 2 scientific papers (total in 2 papers)
On the weak convergence of probability measures in Orlicz spaces
A. N. Baushev Petersburg State Transport University
Abstract:
The necessary and sufficient conditions for the weak convergence of probability measures in separable Orlicz spaces are obtained. These conditions have the form of simultaneous convergence of characteristic functionals and generalized moments of the norm of the measures under consideration.
Keywords:
probability measure, characteristic functional, Banach space, weak relative compactness of a family of measures, weak convergence of measures.
Received: 24.01.1992 Revised: 09.02.1993
Citation:
A. N. Baushev, “On the weak convergence of probability measures in Orlicz spaces”, Teor. Veroyatnost. i Primenen., 40:3 (1995), 495–507; Theory Probab. Appl., 40:3 (1995), 420–429
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