B值一致渐近鞅的强大数定律

B值一致渐近鞅的强大数定律 STRONG LAW OF LARGE NUMBERS FOR B-VALUED UNIFORM AMARTS 李兵 Li Bing first-author 本文首先得到了B值一致渐近鞅的Doob分解,然后利用它们以及B值一致渐近鞅的收敛定理得到一些关于B值一致渐近鞅的强大数定律,从而将Y.S.Chow关于实值鞅的强大数定律以及A.Edgar和L.Sucheston关于实值渐近鞅的强大数定律的一些结果推广到了B值一致渐近鞅的情形。 In this paper, we discussed the strong law of large numbers for B-valued uniform amarts, generalized some results of Y. S. Chow about the strong law of large nubers for real-valued martingales and some results of A. Edgar and L. Sucheston for real-valued amarts. B值一致渐近鞅 B值鞅 二阶一致光滑空间 强大数定律 B valued uniform amart B valued martingale uniformly 2-smooth space strong law of large numbers 1988-01-01 2021-04-01 1