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

Jong-Il Baek, Dong-Myong Lee
2003 Communications of the Korean Mathematical Society  
Let {X nk |1 ≤ k ≤ n, n ≥ 1} be an array of row negatively associated (N A) random variables which satisfy P [αn] under some suitable conditions, where {an|n ≥ 1}, {bn|n ≥ 1} are sequences of constants with a n > 0, 0 < b n → ∞, n ≥ 1, and {να n |n ≥ 1} is an array of random variables, and the symbol [x] denotes the greatest integer in x.
doi:10.4134/ckms.2003.18.1.117 fatcat:yo6fkpxtwfdsvc6xtwdraof7z4