Title : ( On the Kolmogorov inequalities for quadratic forms of dependent uniformly bounded random variables )
Authors: negar eghbal , Mohammad Amini , Abolghasem Bozorgnia ,
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Abstract
Some Kolmogorov probability inequalities for quadratic forms and weighted quadratic forms of negative superadditive dependent (NSD) uniformly bounded random variables are provided. Using these inequalities, some complete convergence of randomized quadratic forms under some suitable conditions are evaluated. Moreover, various examples are presented in which the given conditions of our results are satisfied.
Keywords
Kolmogorov inequality Negative superadditive dependent Quadratic forms Complete convergence
@article{paperid:1021722,
author = {Eghbal, Negar and Amini, Mohammad and Bozorgnia, Abolghasem},
title = {On the Kolmogorov inequalities for quadratic forms of dependent uniformly bounded random variables},
journal = {Statistics and Probability Letters},
year = {2011},
volume = {81},
number = {8},
month = {June},
issn = {0167-7152},
pages = {1112--1120},
numpages = {8},
keywords = {Kolmogorov inequality
Negative superadditive dependent
Quadratic forms
Complete convergence},
}
%0 Journal Article
%T On the Kolmogorov inequalities for quadratic forms of dependent uniformly bounded random variables
%A Eghbal, Negar
%A Amini, Mohammad
%A Bozorgnia, Abolghasem
%J Statistics and Probability Letters
%@ 0167-7152
%D 2011
