This article is cited in 5 papers

Short Communications

Criterions of P. Lévy's type for the weak convergence of probabilities in Fréchet spaces

D. H. Muštari

Kazan'

Abstract: We give some criterions for the weak convergence of probabilities in Banach spaces in terms of characteristic functionals. This criterions are valid for the special Banach spaces which was studied by the author in [2], [9]. For the case of Frechet spaces the theorem due to Prohorov and Sazonov is precised.

Received: 22.08.1977

 English version: Theory of Probability and its Applications, 1980, 24:3, 587–592

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