吉林大学学报（理学版）Issue(5)：927-932,6.DOI:10.13413/j.cnki.jdxblxb.2014.05.12
ρ-混合随机变量序列加权和的完全收敛性质
Strong Convergence Results for Weighted Sums ofρ--Mixing Random Variables Sequence
摘要
Abstract
The authors studied the complete convergence for weighted sums ofρ--mixing random variables sequence without assumption of identical distribution via truncation method forρ--mixing random variables sequence,Hölder inequality,Markov inequality,Jensen inequality,Cr inequality, moment inequality and Rosenthal inequality.As an example of application,we further extended the Marcinkiewicz-Zygmund type strong law of large numbers for weighted sums ofρ--mixing random variables sequence with the aid of Borel-Cantelli lemma.关键词
ρ-混合随机变量序列/完全收敛性质/Marcinkiewicz-Zygmund型强大数定律Key words
ρ--mixing random variables sequence/complete convergence/Marcinkiewicz-Zygmund type strong law of large numbers分类
数理科学引用本文复制引用
谭希丽,王淼..ρ-混合随机变量序列加权和的完全收敛性质[J].吉林大学学报（理学版）,2014,(5):927-932,6.基金项目
国家自然科学基金(批准号:11171003) （批准号:11171003）
