Title : ( Negatively dependent bounded random variable probability inequalities and the strong law of large numbers )
Authors: Mohammad Amini , Abolghasem Bozorgnia ,
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Abstract
In this paper for a sequence of uniformly bounded negatively dependent random variables with distribution F(x), we obtain some useful exponential inequality and then use these inequalities to prove the complete convergence of the samples quantile. Moreover, we show that the samples quantile is a strongly consistent estimator of the quantile.
Keywords
, Probability Inequalities, Strong Law of Large Numbers, Complete Convergence.
@article{paperid:1019083,
author = {Amini, Mohammad and Bozorgnia, Abolghasem},
title = {Negatively dependent bounded random variable probability
inequalities and the strong law of large numbers},
journal = {Journal of Applied Mathematics and Stochastic Analysis},
year = {2000},
volume = {13},
number = {3},
month = {January},
issn = {1048-9533},
pages = {261--267},
numpages = {6},
keywords = {Probability Inequalities; Strong Law of Large Numbers; Complete Convergence.},
}
%0 Journal Article
%T Negatively dependent bounded random variable probability
inequalities and the strong law of large numbers
%A Amini, Mohammad
%A Bozorgnia, Abolghasem
%J Journal of Applied Mathematics and Stochastic Analysis
%@ 1048-9533
%D 2000
