B值独立同分布随机变元序列的矩完全收敛性

被引:29
作者
王定成
苏淳
机构
[1] 成都电子科技大学管理学院和应用数学学院
[2] 中国科学技术大学统计与金融系 成都
[3] 合肥
关键词
B值; 独立同分布; 随机变元列; 矩完全收敛性; 完全收敛性; Banach空间的型;
D O I
暂无
中图分类号
O211 [概率论(几率论、或然率论)];
学科分类号
摘要
完全收敛性是概率论极限理论中一个重要的概念.本文考虑了矩完全收敛性,讨论了型-p Banach空间中独立同分布随机变元列部分和矩完全收敛性成立的充要条件,显示了矩完全收敛性和矩之间的关系,其结论与完全收敛性相比,还是有自身的特点.
引用
收藏
页码:440 / 448
页数:9
相关论文
共 7 条
  • [1] Inequlity of B-Valued Random Vectors with Applitications to the Strong Law of Large Number. Acosta A de. The Annals of Probability . 1981
  • [2] The probability in the Tail of a Distribulation. Katz M L. Annals of Mathematical Statistics . 1963
  • [3] p-type Space and Convergence Rates of Tail Probabilities for Sums of B-valued Random Elements. Liang H Y,Niu S L. Ada Mathematicae Applicatae Sinica . 1998
  • [4] Complete Convergence for Independent Sums in Banach Spaces. Wang D C. Journal of Sichun University . 1988
  • [5] Complete Convergence and the Law of Large Numbers. Hsu P L,Robbins H. Proceedings of the National Academy of Sciences of the United States of America . 1947
  • [6] On the Rate of Moment Convergence of Sample Sums and Extrems. Chow Y S. Bulletin Institute of Mathematics Academia Sinica . 1988
  • [7] On the Complete Convergence for Independent Sums. Bai Z D,Su C. Science in China . 1985