吉林大学学报(理学版)Issue(6):1151-1155,5.DOI:10.13413/j.cnki.jdxblxb.2015.06.13
ρ--混合序列部分和之和乘积的几乎处处中心极限定理
Almost Sure Central Limit Theorem for Products of Sums of Partial Sums forρ--Mixing Sequences
摘要
Abstract
Let {X ,Xn}n∈ℕ be a strictly stationary sequence of ρ--mixing random variables,on the basis of which almost sure central limit theorem with weight dk =k -1 exp {logαk }(0 ≤α< 1/2 )was obtained for the product of sums of partial sums by virtue of central limit theorem of weighted sums and the moment inequality.关键词
几乎处处中心极限定理/ρ--混合序列/部分和之和的乘积Key words
almost sure central limit theorem/ρ--mixing sequences/product of sums of partial sums分类
数理科学引用本文复制引用
曹阳,吴群英..ρ--混合序列部分和之和乘积的几乎处处中心极限定理[J].吉林大学学报(理学版),2015,(6):1151-1155,5.基金项目
国家自然科学基金(批准号:11361019) (批准号:11361019)