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EXPONENTIAL PROBABILITY INEQUALITY FOR LINEARLY NEGATIVE QUADRANT DEPENDENT RANDOM VARIABLES
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 Title & Authors
EXPONENTIAL PROBABILITY INEQUALITY FOR LINEARLY NEGATIVE QUADRANT DEPENDENT RANDOM VARIABLES
Ko, Mi-Hwa; Choi, Yong-Kab; Choi, Yue-Soon;
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 Abstract
In this paper, a Berstein-Hoeffding type inequality is established for linearly negative quadrant dependent random variables. A condition is given for almost sure convergence and the associated rate of convergence is specified.
 Keywords
exponential inequality;negatively associated;linearly negative quadrant dependent;almost sure convergence;
 Language
English
 Cited by
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 References
1.
L. Devroye, Exponential inequalities in nonparametric estimation. In: Roussas, G. (Ed.) Nonparametric Functional Estimation and Related Topics, Kluwer Academic Publishers, Dordrecht (1991), 31-44

2.
W. Hoeffing, Probability inequalities for sums of bounded random variables, J. Amer. Statist. Assoc. 58 (1963), 13-30 crossref(new window)

3.
K. Joag-Dev, Independence via un correlatedness under certain dependence structures, Ann. Probab. 7 (1983), 1037-1041 crossref(new window)

4.
K. Joag-Dev and F. Proschan, Negative association of random variables with applications, Ann. Statist. 11 (1983), 286-295 crossref(new window)

5.
T. S. Kim, D. H. Ryu, and M. H. Ko, A central limit theorem for general weighted sums of LNQD random variables and its applications, Rocky Mountain J. of Math., (accepted)

6.
E. L. Lehmann, Some concepts of dependence, Ann. Math. Statist. 37 (1966), 1137-1153 crossref(new window)

7.
P. Matula, A note on the almost sure convergence of sums of negatively dependent random variables, Statist. Prob. Lett. 15 (1992), 209-213 crossref(new window)

8.
C. M. Newman, Asymptotic independence and limit theorems for positively and negatively dependent random variables. In: Tong, Y.L. (Ed.), Inequalities in Statistics and Probability, IMS Lectures Notes-Monograph Series, Hayward CA 5 (1984), 127-140 crossref(new window)

9.
G. G. Roussas, Exponential probability inequalities with some applications. In: Ferguson, T. S., Shapely, L. S., MacQueen, J. B. (Ed.), Statistics, Probability and Game Theory, IMS Lecture Notes-Monograph Series, Hayward, CA 30 (1996), 303-309

10.
Q. M. Shao, A comparison theorem on moment inequalities between negatively associated and independent random variables, J. Theo. Prob. 13 (2000), 343-355 crossref(new window)