Abstract
Let { X n k , 1 ≤ k ≤ n , n ≥ 1 } be an array of rowwise negatively orthant dependent random variables and let { a n , n ≥ 1 } be a sequence of positive real numbers with a n ↑ ∞ . The convergence properties of partial sums 1 a n ∑ k = 1 n X n k are investigated and some new results are obtained. The results extend and improve the corresponding theorems of rowwise independent random variable arrays by Hu and Taylor [Hu, T. C., Taylor R. L. (1997). On the strong law for arrays and for the bootstrap mean and variance. International Journal of Mathematics and Mathematical Sciences, 20(2), 375–382].
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