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《Journal of Anhui Normal University(Natural Science)》 1998-01
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A NOTE ON THE STRONG LAW OF LARGE NUMBERS

Zhu Dongjin (Department of Mathematics, Anhui Normal University, 241000, Wuhu, Anhui, PRC)  
In this paper, the strong law of large numbers of a sequence of random variables was got on respective the condition of independence and non identical distribution and the condition of the φ mixing.
【Fund】: 国家自然科学基金
【CateGory Index】: O211.5
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【References】
Chinese Journal Full-text Database 4 Hits
1 ZHU Dong jin (Department of Mathematics, Anhui Normal University, 241000, Wuhu, Anhui, China);THE STRONG LAW OF LARGE NUMBERS OF A CLASS PAIRWISELY INDEPENDENT RANDOM VARIABLE'S SEQUENCE[J];JOURNAL OF ANHUI NORMAL UNIVERSITY(NATURAL SCIENCE);1999-04
2 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
3 LU Shi-qin,LIU Shou-min(College of Sciences,Taiyuan University of Technology,Taiyuan 030024,China);The Strong Law of Large Numbers for the Generalized Random Variable Sequences[J];Journal of Taiyuan University of Technology;2006-04
4 AN Jun(College of Science, Chongqing Technology and Business University, Chongqing 400067, China);Strong law of large numbers of type M-Z for differently distributed random sequences[J];Journal of Yuzhou University (Natural Sciences Edition);2005-03
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 ZHU Dong jin (Department of Mathematics, Anhui Normal University, 241000, Wuhu, Anhui, China);THE STRONG LAW OF LARGE NUMBERS OF A CLASS PAIRWISELY INDEPENDENT RANDOM VARIABLE'S SEQUENCE[J];JOURNAL OF ANHUI NORMAL UNIVERSITY(NATURAL SCIENCE);1999-04
2 Wang Rongming (Department of Mathematics);Calculating Extinction Probabilities and Mean Absorption Time for the Birth Death Chain in a Random Environment[J];Journal of Anhui Normal University(Natural Science);1994-01
3 Zhu Dongjin(Department of Mathematics);The Asymptotic Behavior of Birth and Death Process in Random Environment[J];Journal of Anhui Normal University(Natural Science);1995-01
4 LI Wei (Dept. of Math., Zhongkai Agriculture Technology College, Guangzhou 510225,China);Calculation Extinction Probabilities and Mean Absorption Time for Generalized Birth-death Chains in a Random Environment[J];JOURNAL OF CHANGSHA UNIVERSITY OF ELECTRIC POWER(NATURAL SCIENCE);2000-03
5 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
6 Wu Qunying (Dept. of Basic Sci.,Guilin Institute of Technology,12 Jianganlu,Guilin,Guangxi,541004);Strong Convergence Properties of the Partial Sum of Mixing Random Sequences[J];GUANGXI SCIENCES;1999-02
7 YANG Wen-quan(Hubei Institute for Nationalities, Enshi 445000,China);STRONG LAW OF LARGE NUMBERS FOR MIXING SEQUENCES[J];JOURNAL OF HUBEI INSTITUTE FOR NATIONALITIES;2000-02
8 Chen Neiping (Dept of Mathematics,Hunan College of Commerce,410013,Changsha,P R China);On the Central Limit Theorem for Markov Chains in Markovian Environments[J];JOURNAL OF HUNAN UNIVERSITY(NATURNAL SCIENCES);1997-02
9 HU Xing1,XU Shan2(1.Department of Mathematics,Zhejiang University,Hangzhou 310027,China;2.Department of Electronic Engineering,Liaocheng Vocation and Technology College,Liaocheng 252000,China);Almost sure central limit theorem of the product of φ-mixing sums[J];Journal of Zhejiang University(Science Edition);2007-05
10 Liu Gang (Department of Mathematics, Central China Normal University, Wuhan 430079);The strong law of large numbers of random variable sequences of dependence and unidentical distribution[J];JOURNAL OF CENTRAL CHINA NORMAL UNIVERSITY(NATURAL SCIENCES);1999-03
【Secondary References】
Chinese Journal Full-text Database 5 Hits
1 XU Song~(1,2), WANG Xiao-yun~1(1.College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China;2.Huainan Normal University,Huainan 232001,China);Recurrence of Random Walks With Resting State in Random Environment on Half-line[J];Journal of Anhui Normal University(Natural Science);2006-03
2 WU Xin-xing(College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China);An Extension of Random Limit Theorems of ExchangeableRandom Variable Sequences[J];Journal of Anhui Normal University(Natural Science);2006-04
3 ZHU Dong-jin (College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, China);The Stable Laws of a Kind Independent Random Variable's Sequence[J];Journal of Anhui Normal University(Natural Science);2007-03
4 LU Shi-qin,LIU Shou-min(College of Sciences,Taiyuan University of Technology,Taiyuan 030024,China);The Strong Law of Large Numbers for the Generalized Random Variable Sequences[J];Journal of Taiyuan University of Technology;2006-04
5 AN Jun(College of Science, Chongqing Technology and Business University, Chongqing 400067, China);Strong law of large numbers of type M-Z for differently distributed random sequences[J];Journal of Yuzhou University (Natural Sciences Edition);2005-03
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