向量值T-鞅序列及其大数定律  

Vector-Valued T-Martingale and Its Law of Large Number

作　　者：朱永刚[1] 于林[1] 

机构地区：[1]三峡大学理学院,湖北宜昌443002

出　　处：《济南大学学报（自然科学版）》2010年第3期319-322,共4页Journal of University of Jinan(Science and Technology)

基　　金：国家自然科学基金(10671147)

摘　　要：阐述向量值T-鞅及其主要性质,证明了向量值T-鞅序列的Hàjek-Rènyi不等式,并利用该不等式证明了T-鞅序列的强大数定律,指出所得结果与Banach空间的一致光滑性质紧密相关。Vector-valued T-martingale and its propositions are introduced, and the Hajek-Renyi inequality for vector-valued T-martingale is proved. With this inequality, the strong law of large numbers of the vector-valued T-martingale is proved, and the obtained result is closely related to the p-uniform smoothness of Banach spaces.

关 键 词：T一鞅 Hiajek—Renyi不等式 大数定律 P-致光滑 

分 类 号：O211.4[理学—概率论与数理统计]