Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1154181 | Statistics & Probability Letters | 2016 | 7 Pages |
Abstract
For a sequence of nonnegative random variables {Xn,n≥1}{Xn,n≥1} with finite means and partial sums Sn=∑i=1nXi,n≥1, and a sequence of positive numbers {bn,n≥1}{bn,n≥1} with bn↑∞bn↑∞, sufficient conditions are given under which (Sn−ESn)/bn→0(Sn−ESn)/bn→0 almost surely. Our result generalizes the strong law of large numbers obtained by Korchevsky (2015). Some applications for dependent random variables are also provided.
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Pingyan Chen, Soo Hak Sung,