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Commun. Korean Math. Soc. 2003; 18(3): 551-558
Printed September 1, 2003
Copyright © The Korean Mathematical Society.
On the Maximal Inequality for AANA Random Variables and a Strong Law of Large Numbers
Tae-Sung Kim, Mi-Hwa Ko
Wonkwang University, Seoul National University
In this paper we obtain the H$\acute{a}$jeck-R$\grave{e}$nyi type inequality for the asymptotically almost negatively associated(AANA) random variables and extend some results for negatively associated random variables to the AANA case by applying this inequality.
Keywords: H$\acute{a}$jeck-R$\grave{e}$nyi inequality, negatively associated random variables, asymptotically almost negatively associated, strong law of large numbers
MSC numbers: 60F15
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