ITERATED

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ASYMPTOTICS FOR THE DISTRIBUTION FUNCTION ESTIMATORS OF THE ERRORS IN SEMI-PARAMETRIC REGRESSION MODELS
《Journal of Systems Science & Complexity》2014年第2期360-369,共10页QIU Yuyang FU Keang HUANG Wei 
supported by the National Science Foundation of China under Grant Nos.11201422,11301481,and 11371321;Zhejiang Provincial Natural Science Foundation of China under Grant Nos.Y6110639,Y6110110,LQ12A01018,and LQ12A01017;the National Statistical Science Research Project of China under Grant No.2012LY174;Foundation for Young Talents of ZJGSU under Grant No.1020XJ1314019;Zhejiang Provincial Key Research Base for Humanities and Social Science Research(Statistics)
This paper considers the convergence rates for nonparametric estimators of the error distribution in semi-parametric regression models. By establishing some general laws of the iterated logarithm, it shows that the ra...
关键词：Empirical distribution function kernel distribution function law of the iterated loga-rithm semi-parametric regression model residuals. 
ON THE COMPLEX OSCILLATION OF HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS WITH MEROMORPHIC COEFFICIENTS被引量：1
《Journal of Systems Science & Complexity》2007年第1期135-148,共14页Tingbin CAO Hongxun YI 
This research is supported by the Research Foundation of Doctor Points of China （No. 20060422049） and the National Natural Science Foundation of China （No. 10371065）.
In this paper, we investigate the complex oscillation of higher order homogenous and non- homogeneous linear differential equations with meromorphic coefficients of iterated order, and obtain some results which improv...
关键词：EXPONENT iterated convergence iterated order linear differential equation meromorphic function. 
LOCAL ASYMPTOTIC PROPERTIES OF HAZARD RATE ESTIMATORS FOR TRUNCATED AND CENSORED DATA
《Journal of Systems Science & Complexity》2001年第4期413-424,共12页SUN Liuquan, WU Guofu, WEI Xianhua (Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China) 
This research is supported by the National Natural Science Foundation of China.
Functional laws of the iterated logarithm are obtained for cumulative hazard processes in the neighborhood of a fixed point when the data are subject to left truncation and right censorship. On the basis of these resu...
关键词：TRUNCATED and censored data hazard rate kernel ESTIMATION nearest NEIGHBOR ESTIMATION law of the ITERATED logarithm. 
THE BERRY-ESSEEN BOUND AND LIL PP CM STATISTIC TESTING UNIFORM DISTRIBUTION ON SPHERE ABOUT DIMENSION AND SAMPLE SIZE
《Systems Science and Mathematical Sciences》2000年第2期136-145,共10页LIU Yixing CHENG Ping (Institute of Systems Science, Academia Sinica, Beijing 100080, China) 
Cheng[1] gave the limit distribution of weighted PP Cramer-Von Mises test statistic when dimension and sample size tend to infinity simultaneously under the underlying distribution being uniform distribution on SP-1 =...
关键词：PP CM statistic Berry-Esseen BOUND law of ITERATED LOGARITHM large sample size. 
ESTIMATION METHOD FOR SOLUTIONS TO GENERAL LINEAR SYSTEM OF VOLTERRA INTEGRAL INEQUALITIES INVOLVING ITERATED INTEGRAL FUNCTIONALS被引量：2
《Systems Science and Mathematical Sciences》2000年第2期201-207,共7页MA Qinghua (Department of Mathematics, Huizhou University, Huizhou 516015, China) YANG Enhao (Department of Mathematics, Jinan University, Guangzhou 510632, China) 
This project is supported in part by the Guangdong Provincial NSP; the SF of Key Discipline of theState Council; Office of O
An estimation method for solutions to the general linear system of Volterra- type integral inequalities containing several iterated integral functionals is obtained. This method is based on a result proved by the pres...
关键词：GENERAL linear system INTEGRAL inequality Volterra-type ITERATED INTEGRAL functional. 
BAHADUR'S REPRESENTATION FOR NEAREST NEIGHBOR MEDIAN ESTIMATES: THE FIXED DESIGN CASE
《Systems Science and Mathematical Sciences》1999年第2期133-144,共12页YANG Ying(Department of Probability and Statistics, Peking University, Beijing 100871, China)WANG Bingzhang(Department of Mathematics and Information Science, Yantai University, Yantai 264005, China) 
Consider the nonparametric regression model Yi=g(xi) +ei, i=1, 2,...,where g is an unknown function defined on the interval [0, 1], the fixed design points xi(i≥1) are known and ei’s are i.i.d. random variables with...
关键词：Nearest neighbor MEDIAN ESTIMATES Bahadur’s REPRESENTATION asymptotic NORMALITY law of ITERATED logarithm. 
LAWS OF THE ITERAFED LOGARITHM FOR TRIMMED SUM
《Systems Science and Mathematical Sciences》1998年第1期39-46,共8页PENG Liang(Deperttnent of Probebility and Statistics, Pebng University, Beijing 10087l, China) 
In this paPer we shall give a theorem to explain the conjecture of P. S. G.iffin[1].
关键词：LAW of the ITERATED LOGARITHM trixnmed sum. 
A LAW OF THE ITERATED LOGARITHM FOR RANDOM WINDOW-WIDTH KERNEL ESTIMATOR OF A NONPARAMETRIC REGRESSION FUNCTION
《Systems Science and Mathematical Sciences》1990年第4期356-363,共8页洪圣岩 
In this paper we study the estimation of the regression function.We establish a law ofthe iterated logarithm for the random window-width kernel estimator and,as an application,fora nearest neighbor estimator.These res...
关键词：Regression function RANDOM window-width kernel ESTIMATOR nearest neighbor ESTIMATOR law of the ITERATED LOGARITHM 
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