In this paper, we obtain the strong law of large numbers and the convergence rate for a sequence of random variables by using Hajek-Renyi type maximal inequality. As applications, we obtain new results of strong law of the large numbers for some dependent sums.
Shu He HU.
Some New Results for the Strong Law of Large Numbers. Acta Mathematica Sinica, Chinese Series, 2003, 46(6): 1123-113 https://doi.org/10.12386/A2003sxxb0150
