Some Convergence Properties of the Sum of Gaussian Functionals

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 a...

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Bibliographic Details
Main Author: Wałachowska Agnieszka
Format: Article
Language:English
Published: De Gruyter 2016-12-01
Series:Demonstratio Mathematica
Subjects:
Online Access:http://www.degruyter.com/view/j/dema.2016.49.issue-4/dema-2016-0039/dema-2016-0039.xml?format=INT