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SOME CONVERGENCE PROPERTIES OF THE SUM OF GAUSSIAN FUNCTIONALS

Abstract

In the paper, some aspects of the convergence of series of dependent Gaussian sequences problem are solved. The necessary and sufficient conditions for the convergence of series of centered dependent indicators are obtained. Some strong convergence results for weighted sums of Gaussian functionals are discussed.

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Details

Category:
Articles
Type:
artykuły w czasopismach recenzowanych i innych wydawnictwach ciągłych
Published in:
Demonstratio Mathematica no. 49, pages 453 - 462,
ISSN: 0420-1213
Language:
English
Publication year:
2016
Bibliographic description:
Wałachowska A.: SOME CONVERGENCE PROPERTIES OF THE SUM OF GAUSSIAN FUNCTIONALS// Demonstratio Mathematica. -Vol. 49., nr. 4 (2016), s.453-462
DOI:
Digital Object Identifier (open in new tab) 10.1515/dema-2016-0039
Verified by:
Gdańsk University of Technology

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