Title : ( Complete convergence for weighted sums of arrays of APND random variables )
Authors: H.R.Nili Sani , Mohammad Amini , Abolghasem Bozorgnia ,
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Abstract
In this note, we introduce a new class of dependent random variables (hencefort r.v.’s), together with some its basic properties. This class includes independent r.v.’s and pairwise negatively dependent r.v.’s. Some extensions of Rangbar et al.(2008) are discussed. The complete convergence for the new class of r.v.’s is also proved and some results of Beak and Park (2010) is extended to this class conveniently
Keywords
, Negatively dependent r.v.’s, Asymptotically pairwise negatively dependent r.v.’s, Weakly negative dependent r.v.’s, Complete convergence, Strong law of large numbers
@article{paperid:1058328,
author = {H.R.Nili Sani and Amini, Mohammad and Bozorgnia, Abolghasem},
title = {Complete convergence for weighted sums of arrays of APND random variables},
journal = {Communications in Statistics - Theory and Methods},
year = {2018},
volume = {47},
number = {10},
month = {March},
issn = {0361-0926},
pages = {2425--2431},
numpages = {6},
keywords = {Negatively dependent r.v.’s; Asymptotically pairwise negatively dependent r.v.’s;Weakly
negative dependent r.v.’s; Complete convergence; Strong law of large numbers},
}
%0 Journal Article
%T Complete convergence for weighted sums of arrays of APND random variables
%A H.R.Nili Sani
%A Amini, Mohammad
%A Bozorgnia, Abolghasem
%J Communications in Statistics - Theory and Methods
%@ 0361-0926
%D 2018
