On One Sufficient Condition for the Validity of the Strong Law of Large Numbers for Martingales
Abstract
We prove a theorem on the strong law of large numbers for martingales. The existence of higher moments is not assumed. From the theorem proved, we deduce numerous well-known results on the strong law of large numbers both for martingales and for sequences of sums of independent random variables.Downloads
Published
25.10.2000
Issue
Section
Research articles
How to Cite
Koval, V. A. “On One Sufficient Condition for the Validity of the Strong Law of Large Numbers for Martingales”. Ukrains’kyi Matematychnyi Zhurnal, vol. 52, no. 10, Oct. 2000, pp. 1357-62, https://umj.imath.kiev.ua/index.php/umj/article/view/4542.