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

Title & Authors
STRONG LAWS OF LARGE NUMBERS FOR WEIGHTED SUMS OF NEGATIVELY DEPENDENT RANDOM VARIABLES
Ko, Mi-Hwa; Han, Kwang-Hee; Kim, Tae-Sung;

Abstract
For double arrays of constants $\small{{a_{ni},\;1{\leq}i{\leq}k_n,\;n{\geq}1}}$ and sequences of negatively orthant dependent random variables $\small{{X_n,\;n{\geq}1}}$, the conditions for strong law of large number of $\small{{\sum}^{k_n}_{i=1}a_{ni}X_i}$ are given. Both cases $\small{k_n{\uparrow}{\infty}\;and\;k_n={\infty}}$ are treated.
Keywords
negatively quadrant dependent;negatively orthant dependent;strong law of large number;weighted sum;double array;stochastically dominated;
Language
English
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