The almost sure convergence of weighted sums of φ-subgaussian m-acceptable random variables is investigated. As corollaries, the main results are applied to the case of negatively dependent and m-dependent subgaussian random variables. Finally, an application to random Fourier series is presented.

CONVERGENCE OF SERIES OF DEPENDENT PHI-SUBGAUSSIAN RANDOM VARIABLES

GIULIANO, RITA;
2008-01-01

Abstract

The almost sure convergence of weighted sums of φ-subgaussian m-acceptable random variables is investigated. As corollaries, the main results are applied to the case of negatively dependent and m-dependent subgaussian random variables. Finally, an application to random Fourier series is presented.
2008
Giuliano, Rita; Kozachenko, Y. U. V.; A., Volodin
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/124059
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