Title : ( On almost sure convergence for weighted sums of pairwise negatively quadrant dependent random variables )
Authors: Hadi Jabbari Nooghabi ,
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Abstract
Let {Xn, n ≥ 1} be a sequence of pairwise negatively quadrant dependent (NQD) random variables. In this study, we prove almost sure limit theorems for weighted sums of the random variables. From these results, we obtain a version of the Glivenko–Cantelli lemma for pairwise NQD random variables under some fragile conditions. Moreover, a simulation study is done to compare the convergence rates with those of Azarnoosh (Pak J Statist 19(1):15–23, 2003) and Li et al. (Bull Inst Math 1:281–305, 2006).
Keywords
Almost sure limit theorem · Glivenko–Cantelli lemma · Negatively quadrant dependent · Weighted sums
@article{paperid:1028803,
author = {Jabbari Nooghabi, Hadi},
title = {On almost sure convergence for weighted sums of pairwise negatively quadrant dependent random variables},
journal = {Statistical Papers},
year = {2013},
volume = {54},
number = {3},
month = {August},
issn = {0932-5026},
pages = {765--772},
numpages = {7},
keywords = {Almost sure limit theorem · Glivenko–Cantelli lemma ·
Negatively quadrant dependent · Weighted sums},
}
%0 Journal Article
%T On almost sure convergence for weighted sums of pairwise negatively quadrant dependent random variables
%A Jabbari Nooghabi, Hadi
%J Statistical Papers
%@ 0932-5026
%D 2013
