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Commun. Korean Math. Soc. 1998; 13(4): 855-863
Printed December 1, 1998
Copyright © The Korean Mathematical Society.
A Note of the Strong Law of Large Numbers for Weighted Sums of Negatively Dependent Random Variables
S. W. Lee, T. S. Kim, H. C. Kim
Wonkwang University, Wonkwang University, Deabul University
Some conditions on the strong law of large numbers for weighted sums of negative quadrant dependent random variables are studied. The almost sure convergence of weighted sums of negatively associated random variables is also established, and then it is utilized to obtain strong laws of large numbers for weighted averages of negatively associated random variables.
Keywords: strong law of large numbers, almost sure convergence, negative quadrant dependent random variables, negatively associated random variables, weighted averages
MSC numbers: 60F15
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