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J. Korean Math. Soc. 2008; 45(4): 1101-1111
Printed July 1, 2008
Copyright © The Korean Mathematical Society.
On the complete convergence for weighted sums of dependent random variables under condition of weighted integrability
Jong-Il Baek, Mi-Hwa Ko, and Tae-Sung Kim
WonKwang University, WonKwang University, WonKwang University
Under the condition of $h$-integrability and appropriate conditions on the array of weights, we establish complete convergence and strong law of large numbers for weighted sums of an array of dependent random variables.
Keywords: complete convergence, strong law of large numbers, $h$-integrability, asymptotically almost negative associated, negatively quadrant dependent, $\varphi$-mixing
MSC numbers: 60F15
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