两两NQD随机序列的 Lr 收敛性

两两NQD随机序列的 L^r收敛性

Convergence for Pairwise NQD Random Variables

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数学物理学报

陈平炎;

暨南大学数学系广州 510630

收稿日期:2006-01-04 修回日期:2007-10-09 出版日期:2008-06-25 发布日期:2008-06-25
通讯作者: 陈平炎
基金资助:
国家自然科学基金(60574002)资助

chenpingyan

Department of Mathematics, Jinan University, Guanzhou 510630

Received:2006-01-04 Revised:2007-10-09 Online:2008-06-25 Published:2008-06-25
Contact: chenpingyan

摘要： 该文讨论了两两NQD随机变量列在满足 $r(1\leq r<2)$ 阶Ces\`aro一致可积条件下
的 L^r收敛性,获得了与独立情形一致的结果.

关键词: 两两NQD列, L^r收敛性；Ces\`aro一致可积

Abstract: In this paper, the author discusses the $L^r$ convergence for pairwise NQD
random variables under $r$ -th Ces\`aro uniform integrability, which is the same as that in the independent case.

Key words: L^rconvergence, Ces\`aro uniform integrability

中图分类号:

60F05

陈平炎;. 两两NQD随机序列的 L^r收敛性[J]. 数学物理学报, 2008, 28(3): 447-453.

chenpingyan. Convergence for Pairwise NQD Random Variables[J]. Acta mathematica scientia,Series A, 2008, 28(3): 447-453.

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