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Let {$X_{nk}1\;{\leq}\;k\;{\leq}\;n,\;n\;{\geq}\;1$} be an array of row negatively associated (NA) random variables which satisfy $P(X_{nk}\;>\;x)\;{\leq}\;P(X\;>\;x)$. For weighed sums indexed by random variables {$T_nn\;{\geq}}, we establish a general weak law of large numbers (WLLN) of the form under some suitable conditions, where $\{a_nn\;\geq\;1\},\; \{b_nn\;\geq\;1\}$ are sequences of constants with $a_n\;>\;0,\;0\;n\;{\geq}\;1$} is an array of random variables, and the symbol [x] denotes the greatest integer in x.

ON THE WEAK LAW FOR WEIGHTED SUMS INDEXED BY RANDOM VARIABLES UNDER NEGATIVELY ASSOCIATED ARRAYS