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《Journal of Jilin University (Science Edition)》 1992-01
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On the Rate of Moment Convergence of Partial Sums of B-Valued Random Variables

Yang Xiaoyun (Department of Mathematics,Jilin University,Changchun)  
Let {X_n} be a sequence of B-valued random variables, {(?)_n} be a sequence of a sequence of increasing σ-algebras, {T_m} be finite (?)_n-stopping times, We are in interested in the rate of moment convergence of S_n~* and S_T_(?)~*, our theorems extend a result of Chow to B-valued random variables, where B is a 2-uniformly smooth Banach space and a Banach space of Rademacher-type 2.
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Sun Xianfang(Harbin Higher Institute of Engineering);Extension of Kronecker Lemma and the Convergence of B-Valued L'Limit Maetingale[J];JOURNAL OF ANSHAN INSTITUTE OF IRON AND STEEL TECHNOLOGY;1996-02
2 Gao Shize ( Department of Mathematics );A LIMIT THEOREM FOR THE LINEAR CONTROLLED BRANCHING PROCESS STOPPED AT ZERO[J];Journal of Chongqing Teachers College(Natural Science Edition);1991-04
3 LIANG Bizhi;CHEN Anle Dept. of Computer and Control Engineering Dept. of Natural Science and Applications;A NOTE ON THE BOUNDING FUNCTIONS OF MARKOV PROCESSES[J];Journal of Daqing Petroleum Institute;1992-03
4 Wan Chenggao Wu Gang (Hubei University);B-Valued Eventual Quasi-Martingales and Smoothness and UMD Properties of Banach Spaces[J];Chinese Journal of Engineering Mathematics;1993-02
5 Wan Chenggao (Hubei University);Convergence Theorem of Quasi-eventual-martingale-like Sequence[J];CHINESE JOURNAL OF ENGINEERING MATHEMATICS;1995-02
6 Liu Peide (Wuhan University);CONVERGENCE OF P-UNIFORMLY AMART AND SMOOTHNESS OF BANACH SPACES[J];Applied Mathematics A Journal of Chinese Universities;1989-02
7 Jing Guangzhu Li Chengyi(JiaMusi Institute of Technology,JiaMusi 154000);A Result about Strong Markov Prolperty[J];JOURNAL OF HEBEI UNIVERSITY(NATURAL SCIENCE);1995-01
8 Zhao Xingqniu (Department of Mathematics);THE EXPECTED VALUE OF AN EVERYWHERE STOPPED B-VALUE MARTINGALE[J];Journal of Hubei University(Natural Science Edition);1988-02
9 Zhao Xingqiu (Library);CONVERGENCE RATES OF RANDOM SEQUENCESS[J];Journal of Hubei University(Natural Science Edition);1990-03
10 Wan Chenggao Wu Gang (Department of Mathematics);TRANSFORMS FOR B-VALUED EVENTUAL QUASIMARTINGALES AND SMOOTHNESS AS WELL AS CONVEXITY OF BANACH SPACES[J];Journal of Hubei University(Natural Science Edition);1991-04
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