Title : ( The Almost Sure Convergence for Weighted Sums of Linear Negatively Dependent Random Variables )
Authors: H.R. Nili Sani , Mohammad Amini , Abolghasem Bozorgnia ,
دانلود فایل برای اعضای دانشگاهAccess to full-text not allowed by authors
Abstract
In this paper, we generalize some theorems of Chao [6] and Thrum [14]. It is shown by an elementary method that for linear negatively dependent identically random variables with finite -th absolute moment the weighted sums converge to zero a.s where and is an array of real numbers. Also, we prove the almost sure convergence for weighted sums , when is a sequence of pairwise negative quadrant dependence stochastically bounded random variables under some suitable conditions on .
Keywords
, Pairwise negatively dependent, Linear negatively dependent, Negative association, Complete convergence
@article{paperid:1009939,
author = {H.R. Nili Sani and Amini, Mohammad and Bozorgnia, Abolghasem},
title = {The Almost Sure Convergence for Weighted Sums of Linear Negatively Dependent Random Variables},
journal = {Journal of Sciences, Islamic Republic of Iran},
year = {2009},
volume = {20},
number = {1},
month = {March},
issn = {1016-1104},
pages = {67--72},
numpages = {5},
keywords = {Pairwise negatively dependent; Linear negatively dependent; Negative association; Complete convergence},
}
%0 Journal Article
%T The Almost Sure Convergence for Weighted Sums of Linear Negatively Dependent Random Variables
%A H.R. Nili Sani
%A Amini, Mohammad
%A Bozorgnia, Abolghasem
%J Journal of Sciences, Islamic Republic of Iran
%@ 1016-1104
%D 2009
