Ρ-MIXING

作品数：8被引量：19H指数：2
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相关作者：何建军更多>>
相关机构：中国计量学院更多>>
相关期刊：《Acta Mathematicae Applicatae Sinica》《Open Journal of Statistics》《Chinese Quarterly Journal of Mathematics》《Acta Mathematica Sinica,English Series》更多>>
相关基金：国家自然科学基金安徽省自然科学基金更多>>
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Convergence Rate of Estimator forNonparametric Regression Model under ρ-mixing Errors
《Chinese Quarterly Journal of Mathematics》2017年第4期407-414,共8页ttU Qi HUANG Qian YANG Wen-zhi LI Xiao-qin 
Supported by National Natural Science Foundation of China(11426032,11501005);Natural Science Foundation of Anhui Province(1408085QA02,1508085QA01,1508085J06);Provincial Natural Science Research Project of Anhui Colleges(KJ2014A010,KJ2014A020,KJ2015A065);Higher Education Talent Revitalization Project of Anhui Province(2013SQRL005ZD);Quality Engineering Project of Anhui Province(2015jyxm054,2015jyxm057);Students Science Research Training Program of Anhui University(KYXL2014016,KYXL2014013);Applied Teaching Model Curriculum of Anhui University(XJYYKC1401,ZLTS2015052,ZLTS2015053);Doctoral Research Start-up Funds Projects of Anhui University
In this paper, we investigate the nonparametric regression model based on ρ-mixing errors, which are stochastically dominated by a nonnegative random variable. Weobtain the convergence rate for the weighted estimator...
关键词：convergence rate pth-mean Ρ-MIXING sequence NONPARAMETRIC regressionmodel 
Laws of the Iterated Logarithm for-mixing Random Variables with Normal Distribution被引量：1
《Acta Mathematicae Applicatae Sinica》2016年第2期385-394,共10页Qun-ying WU 
supported by the National Natural Science Foundation of China(11361019);the Support Program of the Guangxi China Science Foundation(2015GXNSFAA139008)
Consider a ρ-mixing sequence of identically distributed random variables with the underlying dis- tribution in the domain of attraction of the normal distribution. This paper proves that law of the iterated logarithm...
关键词：ρ-mixing sequence of random variables law of the iterated logarithm domain of attraction 
Complete Convergence and Weak Law of Large Numbers for <i><span style="text-decoration:overline;">ρ</span></i>-Mixing Sequences of Random Variables
《Open Journal of Statistics》2012年第5期484-490,共7页Qunying Wu 
In this paper, the complete convergence and weak law of large numbers are established for ρ-mixing sequences of random variables. Our results extend and improve the Baum and Katz complete convergence theorem and the ...
关键词：Ρ-MIXING Sequence of Random Variables Complete Convergence Weak Law of Large Number 
FURTHER STUDY STRONG CONSISTENCY OF M ESTIMATOR IN LINEAR MODEL FOR ρ-MIXING RANDOM SAMPLES被引量：2
《Journal of Systems Science & Complexity》2011年第5期969-980,共12页Qunying WU 
This research is supported by the National Natural Science Foundation of China under Grant No. 11061012, the Support Program of the New Century Guangxi China Ten-hundred-thousand Talents Project under Grant No. 2005214, and the Guangxi, China Science Foundation under Grant No. 0991081.
The strong consistency of M estimators of the regression parameters in linear models for ρ-mixing random errors under some mild conditions is established, which is an essential improvement over the relevant results i...
关键词：Linear model M estimator moment condition ρ-mixing random error strong consistency 
Precise Asymptotics in the Baum-Katz and Davis Laws of Large Numbers of ρ-mixing Sequences被引量：10
《Acta Mathematica Sinica,English Series》2005年第5期1057-1070,共14页Wei HUANG Ye JIANG Li Xin ZHANG 
Research supported by Natural Science Foundation of China(No.10071072)
Let {X,Xn;n ≥ 1} be a strictly stationary sequence of ρ-mixing random variables with mean zeros and finite variances. Set Sn =∑k=1^n Xk, Mn=maxk≤n｜Sk｜,n≥1.Suppose limn→∞ESn^2/n=：σ^2〉0 and ∑n^∞=1 ρ^2/d...
关键词：ρ-mixing random variable Tail probabilities Baum-Katz law Davis law 
PRECISE RATE IN THE LAW OF ITERATED LOGARITHM FOR ρ-MIXING SEQUENCE被引量：8
《Applied Mathematics(A Journal of Chinese Universities)》2003年第4期482-488,共7页Huang Wei Zhang Lixin Jiang YeDept.of Math.,Zhejiang Univ.,Hangzhou 310028,China. 
Research supported by the National Natural Science Foundation of China (1 0 0 71 0 72 )
Let {X,X n;n≥1} be a strictly stationary sequence of ρ-mixing random variables with mean zero and finite variance. Set S n=n k=1X k,M n=max k≤n｜S k｜,n≥1. Suppose lim n→∞ES2 n/n=∶σ2>0 and ∞n=1...
关键词：mixing random variable law of iterated logarithm tail probabilities 
Complete convergence of ρ-mixing sequence
《Chinese Science Bulletin》1995年第9期710-714,共5页孔繁超 张明俊 
Let {Xn, n≥1} be a sequence of random variables and let Sn=∑1≤i≤nXi,n-=σ（Xi1≤i≤n）,n+=σ（Xi,i≥n...
关键词：SEQUENCE of random VARIABLES Ρ-MIXING COMPLETE CONVERGENCE slowly VARYING function. 
混合序列强大数定律的收敛速度
《中国计量学院学报》1995年第1期1-5,共5页何建军 
本文在对混合速度没有任何限制的条件下讨论了ρ－ｍｉｘｉｎｇ序列大数定律的收敛速度问题．
关键词：ρ-mixing序列 大数定律 收敛速度 
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