国家自然科学基金(10471140)

作品数：7被引量：7H指数：1
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相关作者：周勇罗羡华杨振海更多>>
相关机构：中国科学院数学与系统科学研究院北京工业大学更多>>
相关期刊：《Acta Mathematicae Applicatae Sinica》《Acta Mathematica Scientia》《应用数学学报》《Journal of Systems Science and Information》更多>>
相关主题：ESTIMATORTRUNCATED变系数模型渐近正态性删失数据更多>>
相关领域：理学更多>>
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Truncated Estimator of Asymptotic Covariance Matrix in Partially Linear Models with Heteroscedastic Errors
《Acta Mathematicae Applicatae Sinica》2006年第4期565-574,共10页Yan-meng Zhao Jin-hong You Yong Zhou 
Zhou's research was partially supported by the National Natural Science Foundation of China(No.10471140,10571169)
A partially linear regression model with heteroscedastic and/or serially correlated errors is studied here. It is well known that in order to apply the semiparametric least squares estimation （SLSE） to make statisti...
关键词：Partially linear regression model heteroscedastic serially correlation semiparametric least squares estimation asymptotic covariance matrix 
Confidence Intervals of Variance Functions in Generalized Linear Model
《Acta Mathematicae Applicatae Sinica》2006年第3期353-368,共16页Yong Zhou Dao-ji Li 
Supported by the National Natural Science Foundation of China （No.10471140）.
In this paper we introduce an appealing nonparametric method for estimating variance and conditional variance functions in generalized linear models （GLMs）, when designs are fixed points and random variables respect...
关键词：Nonlinear time series model variance function conditional heteroscedastie variance generalized linear model local polynomial fitting Α-MIXING 
A KERNEL-TYPE ESTIMATOR OF A QUANTILE FUNCTION UNDER RANDOMLY TRUNCATED DATA被引量：1
《Acta Mathematica Scientia》2006年第4期585-594,共10页周勇 吴国富 李道纪 
Zhou's research was partially supported by the NNSF of China (10471140, 10571169);Wu's research was partially supported by NNSF of China (0571170)
A kernel-type estimator of the quantile function Q（p） = inf{t：F（t） ≥ p}, 0 ≤ p ≤ 1, is proposed based on the kernel smoother when the data are subjected to random truncation. The Bahadur-type representations o...
关键词：Truncated data Product-limits quantile function kernel estimator Bahadur representation 
删失数据下的变系数回归模型被引量：5
《应用数学学报》2006年第3期415-427,共13页罗羡华 杨振海 周勇 
广州市教育局重点项目;广州市科技局资助项目;国家自然科学基金(10471140)和(19571169)资助项目~~
研究了删失数据下的变系数回归模型．通过数据变换,利用局部多项式方法,给出了系数函数的局部加权最小二乘估计．证明了该估计的渐近偏差和渐近方差,同时获得了该估计的渐近正态性．
关键词：变系数模型 删失 渐近正态性 变换 局部多项式回归 
Weak Representation of the Survival Function Under Semiparametric Model for Truncated and Censored Data
《Journal of Systems Science and Information》2006年第2期359-369,共11页
This research is supported by National Natural Science Foundation of China（10471140 and 10571169）.
In this paper we study semiparametric estimators of the survival function and the cumulative hazard function based on left truncated and right censored data. Weak representations of the two estimators are derived, whi...
关键词：truncated and censored data maximum likelihood estimation Productlimit estimator semiparametric estimation weak representation 
Asymptotics on Semiparametric Analysis of Multivariate Failure Time Data Under the Additive Hazards Model
《Acta Mathematicae Applicatae Sinica》2005年第2期237-246,共10页Huan-binLiu Liu-quanSun Li-xingZhu 
Supported by the National Natural Science Foundation of China (No. 10471140);Science Foundation of HUBEI (98j081);Scientific Research Great Project of Education Department of HUBEI (2002Z04001).supported by grants from Research Grants Council of
Many survival studies record the times to two or more distinct failures oneach subject. The failures may be events of different natures or may be repetitions of the same kindof event. In this article, we consider the ...
关键词：Multivariate failure times additive hazards model CENSORING estimatingequation Wald test score test 
Sequential Confidence Bands for Quantile Densities Under Truncated and Censored Data被引量：1
《Acta Mathematicae Applicatae Sinica》2005年第2期311-322,共12页YongZhou Liu-quanSun 
Supported by the National Natural Science Foundation of China (No.10471140)
In this paper an asymptotic distribution is obtained for the maximaldeviation between the kernel quantile density estimator and the quantile density when the data aresubject to random left truncation and right censors...
关键词：Truncated and censored data quantile density estimation maximal deviation asymptotic distribution sequential confidence band 
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