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
Pages :
16
From page :
1188
To page :
1203
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
Serial Year :
2008
Journal title :
Journal of Mathematical Analysis and Applications
Record number :
936569
Link To Document :
بازگشت