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《Journal of Guilin University of Technology》 2009-03
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Complete Convergence and Strong Laws for ρ~--Mixing Random Sequences

YAN Han,WU Qun-ying,MENG Fan-yu(School of Science,Guilin University of Technology,Guilin 541004,China)  
The complete convergence and Marcinkiewicz strong laws for ρ--mixing random sequences are discussed.As a result,Baum and Katz complete convergence theorem and Marcinkiewicz strong laws are extended to the case of ρ--mixing random sequences.
【Fund】: 国家自然科学基金资助项目(10661006);; 广西“新世纪十百千人才工程”专项资金(2005214);; 广西自然科学基金资助项目(桂科自0728212)
【CateGory Index】: O211.4
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【References】
Chinese Journal Full-text Database 3 Hits
1 GUO Jin,WU Qun-ying,XIA Bao-fei(College of Science,Guilin University of Technology,Guilin541004,China);Maximum Limiting Behavior of Partial Sum for -Mixing Random Variables[J];Journal of Guilin University of Technology;2011-04
2 WEI Jing,TANG Guo-qiang (College of Science,Guilin University of Technology,Guilin541004,China);Almost Sure Convergence of Maximum of Weighted Sums for -Mixing Sequence of Random Variables[J];Journal of Guilin University of Technology;2011-04
3 ZENG Xiang(College of Science,Guilin University of Technology,Guilin541004,China);Consistency Rate for Nearest Neighbor Density Estimation in Stationary φ-Mixing Sequences[J];Journal of Guilin University of Technology;2013-01
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 LI Xiao-qin,HU Shu-he*,WANG Xue-jun,REN Chun-guang(School of Mathematical Sciences,Anhui University,Hefei 230039,China);Maximal inequalities for M-Z-type sequence and large deviations[J];Journal of Anhui University(Natural Sciences Edition);2010-03
2 YE Da-xiang,WU Qun-ying(Coll.of Sci.,Gulin University of Technology,Guilin 541004,China);Almost sure central limit theory in the domain of attraction of a stable distribution[J];Journal of Anhui University of Technology and Science(Natural Science);2010-03
3 ZHOU Xiao-mei(Anhui National Defence Vocational College,Lu'an Anhui 237000,China);Complete convergence for sums of residually-integrable of random variables complete[J];Journal of Anhui Institute of Architecture & Industry(Natural Science);2010-06
4 ZHU Meng-hu,CAI Guang-hui(Department of Mathematics,Zhejiang Gongshang University,Hangzhou 310035,China);Complete convergence for weighted sums of ρ~*-mixing sequences[J];Pure and Applied Mathematics;2006-01
5 TAN Cheng-liang , WU Qun-ying (Department of Mathematics and Physics, Guilin University of Technology, Guilin 541004,China);Complete convergence rates in the strong laws for ρ~--mixing random fields[J];Pure and Applied Mathematics;2009-02
6 FENG Feng-xiang(school of science,Guilin University of Technology,Guilin 541004,China);Strong law of large numbers for  mixing random sequences[J];Pure and Applied Mathematics;2009-03
7 MENG Bing,WU Qun-ying (Department of Mathematics and Physics,Guilin University of Technology,Guilin 541004,China);Complete convergence for weighted sums of arrays of ND random variables[J];Pure and Applied Mathematics;2010-01
8 LI Xu,WANG Xue-jun,LIU Xiao-tao,HU Shu-he(School of Mathematical Science,Anhui University,Hefei 230039,China);The large deviations and strong convergence for partial sums of ND sequence[J];Pure and Applied Mathematics;2011-06
9 LI Yue1 ZHANG Zeng2(1.Department of Mathematics and Physics,Hefei University,Hefei 230601;2.School of Science,Hefei University of Technology,Hefei 230009);On the Convergent Kernel Estimation of Error Distribution in Linear Model Under -Mixing Samples[J];Journal of Changzhou Institute of Technology;2011-01
10 WANG Min-hui~1,WU Zhen-ying~2,YUAN Dong-mei~1(1.Institute of Mathematics and Physics,Laiyang Agricultural College,Shandong Qindao Qindao 266109;2.Department of Mathematics and Physics,Nanjing University of Posts and telecommunications,Nanjing Nanjing 210003);Complete Convergence of Moving Average Processes Generated by LNQD Random Variables[J];Journal of Northeast Dianli University;2006-02
【Co-references】
Chinese Journal Full-text Database 9 Hits
1 WU Qun ying (Reseach Department of Southcentral University, Changsha 410075; Department of Basic Sciences, Guilin Institute of Technology, Guilin 541004);Convergence Properties of  Mixing Random Sequences[J];Chinese Journal of Engineering Mathematics;2001-03
2 LIU Xiao-ping(Department of Mathematics and Physics,Guilin University of Technology,Guilin 541004,China);Complete convergence properties for different distributed  mixing random sequences[J];Journal of Guilin University of Technology;2006-02
3 TAN Cheng-liang,WU Qun-ying,JIA Zhen,MENG Fan-yu (Department of Maths and Physics,Guilin University of Technology,Guilin 541004,China);On the Strong Law of Large Numbers for  Mixing Sequences[J];Journal of Guilin University of Technology;2008-02
4 CHEN XIRU University of Science and Technology of China;CONVERGENCE RATES OF NEAREST NEIGHBOUR DENSITY ESTIMATES[J];中国科学A辑(英文版);1982-05
5 WU Yue qin,CHAI Gen xiang (Department of Applied Mathematics,Tongji University,Shanghai 200092,China);Nearest Neighbour Density Estimation for α-mixing Sequence[J];Journal of Tongji University;2003-05
6 LIU Yanyan,ZHANG Yanli(School of Mathematics and Statistics,Wuhan University,Wuhan 430072,Hubei,China);Consistency of Nearest Neighbor Estimator of Density Function for Pairwises Negative Quadrant Dependent Sequences[J];Journal of Wuhan University(Natural Science Edition);2006-01
7 WU Qun-ying(Department of Basic Sciences, Guilin Institute of Technology, Guilin 541004,China);Convergence for Weighted Sums of Mixing Random Seq uences[J];Mathematica Applicata;2002-01
8 Tang Linjun~(1,2) Zheng Zhongtuan~1 Dept.of Mathematics,Shanghai University,Shanghai 200444,China Dept.of Statistics of Jiaxing College,Jiaxing 314001,China;The Rate of Strong Consistency Convergence of Nearest Neighbor Density Estimator forα-mixing Sequence[J];Communication on Applied Mathematics and Computation;2008-02
9 YANG SHANCHAO (Deportment of Mathematics, Guangxi Normal University, Guilin 541004);CONSISTENCY OF NEAREST NEIGHBOR ESTIMATOR OF DENSITY FUNCTION FOR NEGATIVE ASSOCIATED SAMPLES[J];Acta Mathematicae Applicatae Sinica;2003-03
【Secondary References】
Chinese Journal Full-text Database 3 Hits
1 WU Xin-ye;WU Qun-ying;YE Cai-yuan;College of Science,Guilin University of Technology;;Berry-Esseen type bound in kernel density estimation for φ-mixing random censored samples[J];Journal of Guilin University of Technology;2014-02
2 SHEN Jianwei;School of Sciences,Zhejiang University of Science and Technology;;A strong law of large numbers for -mixing sequence of random variables[J];Journal of Zhejiang University of Science and Technology;2013-05
3 SHEN Jianwei;School of Sciences,Zhejiang University of Science and Technology;;A strong law of large numbers for partial sums of ρ-mixing sequence[J];Journal of Zhejiang University of Science and Technology;2014-03
【Secondary Citations】
Chinese Journal Full-text Database 3 Hits
1 ZHANG Lixin (Department of Mathematics, Hangzhou University, Hangzhou 310028, China);Rosenthal type inequalities for B-valued strong mixing random fields and their applications[J];中国科学A辑(英文版);1998-07
2 Zhang Lixin (Department of Mathematics, Zhejiang University, Hangzhou 510028, China;CONVERGENCE RATES IN THE STRONG LAWS OF NONSTATIONARYρ~*-MIXING RANDOM FIELDS[J];数学物理学报(英文版);2000-03
3 ZHANG LIXIN (Department of Mathematics, Zhejiang University, Hangzhou 310026);FURTHER MOMENT INEQUALITIES FOR B-VALUED STRONG MIXING RANDOM FIELDS AND STRONG LAWS OF LARGE NUMBERS[J];Acta Mathematicae Applicatae Sinica;2000-04
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