摘要
给出了Ｂ值鞅差阵列加权和在Ｃｅｓａｒｏ一致可积性假设条件下成立的一些极限定理，本文的讨论说明Ｃｅａｒｏ一致可积性在研究加权和的极限定理时是一个很有效的工具，结论推广与改进了若干熟知的重要结果．
in this paper we discuss Lr convergence of weiShted sums of martingale difference arrays with values in Banach space and the weak law of large numbers under the condition of uniform integrability in the Cesaro sence. Some general results are obtained in this aspect. Our discussion shows that the Cesaro uniform integrability is an effective and useful tool in the study of limit theorems ofweighted sums of martingale difference arrays.
出处
《武汉大学学报（自然科学版）》
CSCD
1994年第1期1-8,共8页
Journal of Wuhan University(Natural Science Edition)
基金
国家自然科学基金
国家教委博士学科点专项基金
关键词
B值鞅差阵列
加权和
极限定理
martingale difference array with values in Banach space, p-smoothable space, uniform integrability in the Cesaro since, l_p-Toeplitz mains, L￣r convergence, weak law of large numbers
