A Nonclassical LIL for Geometrically Weighted Series in Banach Space

查看全文 作　　者：Ke Ang [1]FU;Xiao Rong [1]YANG;Wei [2]HUANG

机构地区：[1]School of Statistics and Mathematics, Zhejiang Gongshang University;[2]Department of Mathematics, Zhejiang University

出　　处：《Acta Mathematica Sinica,English Series》索引2013年第29卷第7期,共8页

基　　金：Supported by National Natural Science Foundation of China (Grant Nos. 11126316, 11071213, 11201421 and 10901138);Natural Science Foundation of Zhejiang Province (Grant Nos. LQ12A01018 and LY12A01020);Foundation of Department of Education of Zhejiang Province (Grant No. Y201119891) 摘　　要：Let {X, Xn ; n ≥ 0} be a sequence of independent and identically distributed random variables, taking values in a separable Banach space (B,||·||) with topological dual B* . Considering the geometrically weighted series ξ(β) =∑∞n=0βnXn for 0 < β < 1, and a sequence of positive constants {h(n), n ≥ 1}, which is monotonically approaching infinity and not asymptotically equivalent to log log n, a limit result for(1-β2)1/2||ξ(β)||/(2h(1/(1-β2)))1/2 is achieved. 关键词：BANACH 空间几何非经典加权系线性方程测量矩阵 IEEE 充分条件

相关文献

参考文献（15）
引证文献（1）
耦合文献（0）

参考文献(15)

引证文献(1)

互联网出版许可证新出网证(渝)字10号全国400电话 - 免长途话费

A Nonclassical LIL for Geometrically Weighted Series in Banach Space

参考文献(15)

引证文献(1)

用户提示