吉林大学学报（理学版）2012，Vol.50Issue(1)：49-53,5.
混合随机阵列加权和的若干收敛性质
Some Convergence Properties for Weighted Sum of Mixing Random Arrays
摘要
Abstract
Using the moment inequality for p-mixing sequences, Φ-mixing sequences and truncated method,we investigated the weak convergence, the II convergence and the complete convergence for weighted summax 1≤j≤kn ( Σj k=1 ank Xnk-E Σj k=1 ank Xnk) of p-mixing arrays and Φ-mixing arrays under the condition of{ank,1≤k≤kn,n ≥1} -uniform integrability. The results presented in this paper have extended andimproved some results in related literature.关键词
(ρ)混合序列/(ψ)-混合序列/Lr收敛/完全收敛/{ank}一致可积Key words
p-mixing sequence/ Φ-mixing sequence/ L convergence/ complete convergence/ {ank} -uniform integrability分类
数理科学引用本文复制引用
胡学平,李会葆..混合随机阵列加权和的若干收敛性质[J].吉林大学学报（理学版）,2012,50(1):49-53,5.基金项目
安徽省教育厅自然科学基金重点项目(批准号:Kj2010A234). （批准号:Kj2010A234）
