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《JOURNAL OF BEIJING POLYTECHNIC UNIVERSITY》 2000-02
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The Weak Law of Large Numbers for Sequence of Complex Independent Random Variables

Hu Zhenshu; Lai Xiangrong (Department of Applied Mathematics, Beijing Polytechnic University, Beijing, 100022 )  
This paper derives several theorems concerning weak law of large numbers for sequence of complex independent random variables.
【CateGory Index】: O211.5
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【References】
Chinese Journal Full-text Database 5 Hits
1 Hu Zhenshu,Lai Xiangrong (College of Applied Sciences, Beijing Polytechnic University, Beijing 100022);The Strong Law of Large Numbers for Sequence of Complex Independent Random Variables[J];Journal of Beijing Polytechnic University;2000-04
2 HU Zhen-shu, LAI Xiang-rong (College of Applied Sciences, Beijing Polytechnic University, Beijing 100022, China );The Convergence Properties of Partial Sums of Sequence of Complex Independent Random Variables[J];Journal of Beijing Polytechnic University;2001-02
3 CHEN Dong\+1, LAI Xiang\|rong\+2 (1.Basic Courses Department of Beijing Union University, Beijing 100101; 2.College of Applied Sciences, Beijing Polytechnic University, Beijing 100022, China);Convergence Properties of Complex Independent Random Variables[J];Journal of Beijing Union University;2002-03
4 Lai Xiangrong Hu Zhenshu (Department of Applied Mathematics,Beijing Polytechnic University,Beijing 100022);Several of Theorems Concerning Strong Law of Large Numbers for Sequence of Complex Independent Random Variables[J];JOURNAL OF THE CENTRAL UNIVERSITY FOR NATIONALITIES(NATURAL SCIENCE EDITION);2000-01
5 CHEN Wei hou 1, ZHU Zheng yuan 2 (1.Mathematics Unit, Chinese Agriculture University(West),Beijing?100094,China; 2.Department of Mathematics, Central University for Nationalities, Beijing?100081,China);The Construction of Linear Programming with Integral Basic Solution[J];JOURNAL OF THE CENTRAL UNIVERSITY FOR NATIONALITIES(NATURAL SCIENCE EDITION);2000-02
【Citations】
Chinese Journal Full-text Database 1 Hits
1 Lai Xiangrong\ \ Zhang Furen;SUFFICIENT AND NECESSARY CONDITIONS FOR WEAK LAW AND STRONG LAW OF LARGE NUMBERS IN STOCHASTIC SENSE[J];MATHEMATICAL STATISTICS AND APPLIED PROBABILITY;1997-02
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 ZHANG Chun-yan (Department of Mathematics, Anhui University, Hefei230039,China);The law of the iterated logarithm for weight sum of random series[J];Journal of Anhui University(Natural Sciences);2004-02
2 Hu Zhenshu,Lai Xiangrong (College of Applied Sciences, Beijing Polytechnic University, Beijing 100022);The Strong Law of Large Numbers for Sequence of Complex Independent Random Variables[J];Journal of Beijing Polytechnic University;2000-04
3 HU Zhen-shu, LAI Xiang-rong (College of Applied Sciences, Beijing Polytechnic University, Beijing 100022, China );The Convergence Properties of Partial Sums of Sequence of Complex Independent Random Variables[J];Journal of Beijing Polytechnic University;2001-02
4 CHEN Dong\+1, LAI Xiang\|rong\+2 (1.Basic Courses Department of Beijing Union University, Beijing 100101; 2.College of Applied Sciences, Beijing Polytechnic University, Beijing 100022, China);Convergence Properties of Complex Independent Random Variables[J];Journal of Beijing Union University;2002-03
5 GUO Jin-li,DING Hong-yi(Business School University of Shanghai for Science and Technology,shanghai 200093,China);A character theorem of the continuous probabilistic metric and applications[J];Pure and Applied Mathematics;2006-01
6 WANG Hong chun (Dept.of Mathematics and Computer Science,Chongqing Normal University , Chongqing 400047,China);The Strong Invariance Principle of the Partial Sums of a Stochastic Process Sequence[J];Journal of Chongqing Teachers College(Natural Science Edition);2002-03
7 YU Shi-hang~(1,2),DU Xiu-feng~(1)(1.Department of Mathematics,Qiqihar University,Qiqihar 161006,China ;2.Department of Mathematics,Heilongjiang University,Harbin 150080, China);Weak law of large numbers for the random variable sequences of un-independent and un-identical distribution[J];Journal of Dalian University;2005-02
8 ZHAO Yuhuai, HUO Yongliang(Mathematics Department, Yulin College, Yulin, Shaanxi 719000, China);Fransfer value and limiting distribution of random particle[J];Basic Sciences Journal of Textile Universities;2005-01
9 Huang Keming (Department of Mathematics);A theorem of Weak Convergence for Composite Stochastic Field in the Skorohod Topology[J];Journal of Fuzhou University(Natural Sciences Edtion);1991-04
10 Huang Keming (Dcpartment of Mathcmatics);Some Theorems of Weak Convergence for Scquencc of Modified Riemann-Stietjes Integral[J];Journal of Fuzhou University(Natural Sciences Edtion);1992-03
【Co-references】
Chinese Journal Full-text Database 3 Hits
1 Hu Zhenshu,Lai Xiangrong (College of Applied Sciences, Beijing Polytechnic University, Beijing 100022);The Strong Law of Large Numbers for Sequence of Complex Independent Random Variables[J];Journal of Beijing Polytechnic University;2000-04
2 Lai Xiangrong\ \ Zhang Furen;SUFFICIENT AND NECESSARY CONDITIONS FOR WEAK LAW AND STRONG LAW OF LARGE NUMBERS IN STOCHASTIC SENSE[J];MATHEMATICAL STATISTICS AND APPLIED PROBABILITY;1997-02
3 YU HAO (Hangzhou Unevirsity);THE COMPLETE CONVERGENCE FOR PARTIAL SUMS OF INDEPENDENT RANDOM VARIABLES[J];Chinese Journal of Applied Probability and Statistics;1989-02
【Secondary References】
Chinese Journal Full-text Database 9 Hits
1 HU Zhen-shu, LAI Xiang-rong (College of Applied Sciences, Beijing Polytechnic University, Beijing 100022, China );The Convergence Properties of Partial Sums of Sequence of Complex Independent Random Variables[J];Journal of Beijing Polytechnic University;2001-02
2 CHEN Dong 1, LAI Xiang rong 2,CHENG Wei hu 2 (1 Department of Basic Courses, Beijing Union University, Beijing\ 100101; 2 College of Applied Sciences, Beijing Polytechnic University, Beijing\ 100022, China);Properties of Complex Martingale With Discrete Parameter[J];Journal of Beijing Union University;2001-02
3 LAI Xiang\|rong\+1, CHENG Wei\|hu\+1, CHEN Dong\+2 (1\^College of Applied Sciences, Beijing Polytechnic University, Beijing\ 100022; 2 Basic Course Department of Beijing Union University, Beijing 100101,China);Properties of Complex Martingale With Continuous Parameter[J];Journal of Beijing Union University;2001-03
4 CHEN Dong\+1, LAI Xiang\|rong\+2 (1.Basic Courses Department of Beijing Union University, Beijing 100101; 2.College of Applied Sciences, Beijing Polytechnic University, Beijing 100022, China);Convergence Properties of Complex Independent Random Variables[J];Journal of Beijing Union University;2002-03
5 CHENG Dong1,LAI Xiangrong2(1.Department of Basic Courses,Beijing Union University,Beijing 100101,China;2.College of Applied Sciences,Beijing Polytechnic University,Beijing 100022,China);Notes on Central Limit Theorems[J];Journal of Jishou University(Natural Science Edition);2003-02
6 GAO WEN-jun LIU Gang(Science College,Shenyang Institute of Aeronautical Engineering,Liaoning Shenyang 110136);Continuity of monotonic event sequence in probability space[J];Journal of Shenyang Institute of Aeronautical Engineering;2009-03
7 Lai Xiangrong Hu Zhenshu (Department of Applied Mathematics,Beijing Polytechnic University,Beijing 100022);Several of Theorems Concerning Strong Law of Large Numbers for Sequence of Complex Independent Random Variables[J];JOURNAL OF THE CENTRAL UNIVERSITY FOR NATIONALITIES(NATURAL SCIENCE EDITION);2000-01
8 CHEN Wei hou 1, ZHU Zheng yuan 2 (1.Mathematics Unit, Chinese Agriculture University(West),Beijing?100094,China; 2.Department of Mathematics, Central University for Nationalities, Beijing?100081,China);The Construction of Linear Programming with Integral Basic Solution[J];JOURNAL OF THE CENTRAL UNIVERSITY FOR NATIONALITIES(NATURAL SCIENCE EDITION);2000-02
9 LAI Xiang-rong 1, CHENG Wei-hu 1, CHEN Dong 2 (1 College of Applied Sciences,Beijing Polytechmic University,Beijing*"100022,China; 2 Basic Course Department of Beijing United University, Beijing\ 100101, China);Properties of Square Integrable Complex Martingal[J];Journal of The Central University For Nationalities(Natural Science Edition);2002-01
【Secondary Citations】
Chinese Journal Full-text Database 1 Hits
1 Feng Cihuang;A Correction On《The Sufficient and Necessary Condition of SLLN》[J];Journal of Mathematical Research and Exposition;1990-02
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