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Teoriya Veroyatnostei i ee Primeneniya, 1994, Volume 39, Issue 4, Pages 851–856 (Mi tvp3862)  
Short Communications

On refinement of Banach-valued limit theorems for stable laws

A. N. Chuprunov

N. G. Chebotarev Research Institute of Mathematics and Mechanics, Kazan State University
Full-text PDF (378 kB)
Abstract: This paper gives the estimates of rate of convergence on classes of sets in Banach-valued limit theorems for stable laws. These estimates are effective in the case when the limit distribution is concentrated on a space of lower dimension and have unimprovable order.
Keywords: independent random elements, Banach space, stable type p, Rademacher type p, probabilistic metric, stable random element, absorbing class.
Received: 02.08.1991
English version:
Theory of Probability and its Applications, 1994, Volume 39, Issue 4, Pages 657–662
DOI: https://doi.org/10.1137/1139050
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. N. Chuprunov, “On refinement of Banach-valued limit theorems for stable laws”, Teor. Veroyatnost. i Primenen., 39:4 (1994), 851–856; Theory Probab. Appl., 39:4 (1994), 657–662
Citation in format AMSBIB
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\paper On refinement of Banach-valued limit theorems for stable laws
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\yr 1994
\vol 39
\issue 4
\pages 851--856
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\transl
\jour Theory Probab. Appl.
\yr 1994
\vol 39
\issue 4
\pages 657--662
\crossref{https://doi.org/10.1137/1139050}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995TR71500010}
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