Title : ( Some maximal inequalities for quadratic forms of negative superadditive dependence random variables )
Authors: negar eghbal , Mohammad Amini , Abolghasem Bozorgnia ,
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Abstract
In this paper, we derive two maximal inequalities for quadratic forms of negative superadditive dependence random variables. Then, we obtain the strong law of large numbers and the rate of convergence under some suitable conditions on existence of rth moment. Noting that, the dependence structure that has been studied is an extension of negative association and sometimes more useful than it and can be used to get many important probability inequalities.
Keywords
Negative Superadditive dependence random variables
@article{paperid:1014346,
author = {Eghbal, Negar and Amini, Mohammad and Bozorgnia, Abolghasem},
title = {Some maximal inequalities for quadratic forms of negative superadditive dependence random variables},
journal = {Statistics and Probability Letters},
year = {2010},
volume = {80},
number = {8},
month = {April},
issn = {0167-7152},
pages = {587--591},
numpages = {4},
keywords = {Negative Superadditive dependence random variables},
}
%0 Journal Article
%T Some maximal inequalities for quadratic forms of negative superadditive dependence random variables
%A Eghbal, Negar
%A Amini, Mohammad
%A Bozorgnia, Abolghasem
%J Statistics and Probability Letters
%@ 0167-7152
%D 2010
