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http://dx.doi.org/10.4134/JKMS.2006.43.6.1325

STRONG LAWS OF LARGE NUMBERS FOR WEIGHTED SUMS OF NEGATIVELY DEPENDENT RANDOM VARIABLES  

Ko, Mi-Hwa (Statistical Research Center for Complex Systems Seoul National University)
Han, Kwang-Hee (Department of Computer Science Howon University)
Kim, Tae-Sung (Department of Mathematics WonKwang University)
Publication Information
Journal of the Korean Mathematical Society / v.43, no.6, 2006 , pp. 1325-1338 More about this Journal
Abstract
For double arrays of constants ${a_{ni},\;1{\leq}i{\leq}k_n,\;n{\geq}1}$ and sequences of negatively orthant dependent random variables ${X_n,\;n{\geq}1}$, the conditions for strong law of large number of ${\sum}^{k_n}_{i=1}a_{ni}X_i$ are given. Both cases $k_n{\uparrow}{\infty}\;and\;k_n={\infty}$ are treated.
Keywords
negatively quadrant dependent; negatively orthant dependent; strong law of large number; weighted sum; double array; stochastically dominated;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By Web Of Science : 3  (Related Records In Web of Science)
Times Cited By SCOPUS : 3
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