Displaying similar documents to “Strong laws of large numbers for arrays of rowwise ρ * -mixing random variables.”

Complete convergence of weighted sums for arrays of rowwise ϕ -mixing random variables

Xinghui Wang, Xiaoqin Li, Shuhe Hu (2014)

Applications of Mathematics

Similarity:

In this paper, we establish the complete convergence and complete moment convergence of weighted sums for arrays of rowwise ϕ -mixing random variables, and the Baum-Katz-type result for arrays of rowwise ϕ -mixing random variables. As an application, the Marcinkiewicz-Zygmund type strong law of large numbers for sequences of ϕ -mixing random variables is obtained. We extend and complement the corresponding results of X. J. Wang, S. H. Hu (2012).

On the Brunk-Chung type strong law of large numbers for sequences of blockwise -dependent random variables

Le Van Thanh (2006)

ESAIM: Probability and Statistics

Similarity:

For a sequence of blockwise -dependent random variables {≥ 1}, conditions are provided under which lim n → ∞ ( ∑ i = 1 n X i ) / b n = 0 almost surely where {≥ 1} is a sequence of positive constants. The results are new even when . As special case, the Brunk-Chung strong law of large numbers is obtained for sequences of independent random variables. The current work also extends results of Móricz [ (1987) 709–715], and Gaposhkin [. (1994) 804–812]. The sharpness of the results is illustrated by examples. ...