Title of article :
Convergence of series of dependent ϕ-subgaussian random variables
Author/Authors :
Rita Giuliano Antonini، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2008
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.
© 2007 Elsevier Inc. All rights reserved
Keywords :
m-Acceptability , m-dependence , Negative dependence , ?-Subgaussian random variables , almost sure convergence , Weighted sums , strong law of large numbers
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications