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http://dx.doi.org/10.14317/jami.2011.29.1_2.201

STRONG LAW OF LARGE NUMBERS FOR ASYMPTOTICALLY NEGATIVE DEPENDENT RANDOM VARIABLES WITH APPLICATIONS  

Kim, Hyun-Chull (Department of Mathematics Education, Daebul University)
Publication Information
Journal of applied mathematics & informatics / v.29, no.1_2, 2011 , pp. 201-210 More about this Journal
Abstract
In this paper, we obtain the H$\`{a}$jeck-R$\`{e}$nyi type inequality and the strong law of large numbers for asymptotically linear negative quadrant dependent random variables by using this inequality. We also give the strong law of large numbers for the linear process under asymptotically linear negative quadrant dependence assumption.
Keywords
H$\`{a}$jeck-R$\`{e}$nyi inequality; asymptotically linear negative quadrant dependent; strong law of large numbers; linear negative quadrant dependent; ${\rho}^*$-mixing; linear process;
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