吉林大学学报(理学版)
吉林大學學報(理學版)
길림대학학보(이학판)
JOURNAL OF JILIN UNIVERSITY(SCIENCE EDITION)
2014年
1期
51-55
,共5页
胡志才%贾秀利%王振华
鬍誌纔%賈秀利%王振華
호지재%가수리%왕진화
行ρ-混合阵列%完全收敛%加权和%Marcinkiewicz-Zygmund型强大数定律
行ρ-混閤陣列%完全收斂%加權和%Marcinkiewicz-Zygmund型彊大數定律
행ρ-혼합진렬%완전수렴%가권화%Marcinkiewicz-Zygmund형강대수정률
arrays of rowwiseρ- mixing random variables%complete convergence%weighted sums%Marcinkiewicz-Zygmund type strong law of large numbers
先利用ρ-混合序列Rosenthal型最大值不等式,得到一个关于行ρ-混合阵列加权和最大值的完全收敛性定理,再利用此定理证明ρ-混合序列加权和最大值的 Marcinkiewicz-Zygmund型强大数定律。
先利用ρ-混閤序列Rosenthal型最大值不等式,得到一箇關于行ρ-混閤陣列加權和最大值的完全收斂性定理,再利用此定理證明ρ-混閤序列加權和最大值的 Marcinkiewicz-Zygmund型彊大數定律。
선이용ρ-혼합서렬Rosenthal형최대치불등식,득도일개관우행ρ-혼합진렬가권화최대치적완전수렴성정리,재이용차정리증명ρ-혼합서렬가권화최대치적 Marcinkiewicz-Zygmund형강대수정률。
A complete convergence theorem for maximum of weighted sums of arrays of rowwiseρ-mixing random variables was established by the Rosenthal type maximal inequality forρ- mixing random variables,and then a Marcinkiewicz-Zygmund type strong law of large numbers for maximum of weighted sums ofρ- mixing random variables was obtained based on the above theorem.