Far East Journal of Theoretical Statistics
Volume 8, Issue 1, Pages 39 - 50
(September 2002)
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ON THE WEAK LAW FOR WEIGHTED SUMS OF NA ARRAY OF RANDOM
VARIABLES
Jong-Il Baek (South Korea) and Jeong-Yeol Choi (South Korea)
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Abstract: Let
be a negatively associated (NA) array of random variables which satisfy
and let and
be sequences of constants with
In this paper, for negatively associated array of random variables, we establish
a general weak law of large numbers (WLLN) of the form
converges in probability to zero, as
where is a suitable array of random
variables. |
Keywords and phrases: negatively associated random variables, weak law of large numbers, weighted
sum. |
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