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A WEAK LAW FOR WEIGHTED SUMS OF ARRAY OF ROW NA RANDOM VARIABLES
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 Title & Authors
A WEAK LAW FOR WEIGHTED SUMS OF ARRAY OF ROW NA RANDOM VARIABLES
Baek, Jong-Il; Liang, Han-Ying; Choi, Jeong-Yeol;
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 Abstract
Let {$x_{nk}\;1\;\leq\;k\;\leq\;n,\;n\;\geq\;1$} be an array of random varianbles and $\{a_nn\;\geq\;1\}\;and\;\{b_nn\;\geq\;1} be a sequence of constants with $a_n\;>\;0,\;b_n\;>\;0,\;n\;\geq\;1. In this paper, for array of row negatively associated(NA) random variables, we establish a general weak law of large numbers (WLLA) of the form ( converges in probability to zero, as , where {$\nu_{n\kappa}1\;\leq\;\kappa\;\leq\;n,\;n\;\geq\;1$} is a suitable array of constants.
 Keywords
negatively associated random variables;weak law of large numbers;weighted sum;
 Language
English
 Cited by
 References
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