Title : ( A Kolmogorov inequality for quadratic forms of )
Authors: Mohammad Amini , negar eghbal , Abolghasem Bozorgnia ,
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Abstract
In this paper, we present a Kolmogorov probability inequality for quadratic forms and weighted quadratic forms of negative superadditive dependent (NSD) uniformly bounded random variables. Using these inequalities, we evaluate complete convergence of randomized quadratic forms under some suitable conditions. Moreover, various examples presented for which satisfy given conditions in paper.
Keywords
Keywords:} Kolmogorov inequality; Negative superadditive dependence; Quadratic forms; Complete convergence
@inproceedings{paperid:1018889,
author = {Amini, Mohammad and Eghbal, Negar and Bozorgnia, Abolghasem},
title = {A Kolmogorov inequality for quadratic forms of},
booktitle = {دهمین کنفرانس بین المللی آمار ایران},
year = {2010},
location = {تبریز, IRAN},
keywords = {Keywords:} Kolmogorov inequality; Negative
superadditive dependence; Quadratic forms; Complete convergence},
}
%0 Conference Proceedings
%T A Kolmogorov inequality for quadratic forms of
%A Amini, Mohammad
%A Eghbal, Negar
%A Bozorgnia, Abolghasem
%J دهمین کنفرانس بین المللی آمار ایران
%D 2010
