Title : ( Complete Convergence and Some Maximal Inequalities for Weighted Sums of Random Variables )
Authors: Mohammad Amini , H.Nili Sani , Abolghasem Bozorgnia ,
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Abstract
Let be a sequence of arbitrary random variables with and , for every and be an array of real numbers. We will obtain two maximal inequalities for partial sums and weighted sums of random variables and also, we will prove complete convergence for weighted sums , under some conditions on and sequence .
Keywords
, Complete convergence, Weighted sums, Maximal inequalities, Pair-wise negative dependence
@article{paperid:1006828,
author = {Amini, Mohammad and حمید رضا نیلی ثانی and Bozorgnia, Abolghasem},
title = {Complete Convergence and Some Maximal Inequalities for Weighted Sums of Random Variables},
journal = {Journal of Sciences, Islamic Republic of Iran},
year = {2007},
volume = {18},
number = {4},
month = {December},
issn = {1016-1104},
pages = {311--316},
numpages = {5},
keywords = {Complete convergence; Weighted sums; Maximal inequalities; Pair-wise negative dependence},
}
%0 Journal Article
%T Complete Convergence and Some Maximal Inequalities for Weighted Sums of Random Variables
%A Amini, Mohammad
%A حمید رضا نیلی ثانی
%A Bozorgnia, Abolghasem
%J Journal of Sciences, Islamic Republic of Iran
%@ 1016-1104
%D 2007
