On One Sufficient Condition for the Validity of the Strong Law of Large Numbers for Martingales

  • V. A. Koval

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.
Published
25.10.2000
How to Cite
KovalV. 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.
Section
Research articles