国家自然科学基金(10571093)

作品数:13被引量:12H指数:2
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相关作者:张润楚伍长春赵胜利刘民千刘艳丽更多>>
相关机构:南开大学嘉兴学院曲阜师范大学更多>>
相关期刊:《Science China Mathematics》《Acta Mathematicae Applicatae Sinica》《应用概率统计》《Acta Mathematica Scientia》更多>>
相关主题:英文CLEARM2经验似然K2更多>>
相关领域:理学自然科学总论自动化与计算机技术更多>>
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Compromise 4~m2~n Plans with Clear Two-factor Interactions被引量:2
《Acta Mathematicae Applicatae Sinica》2010年第1期99-106,共8页Sheng-li Zhao Run-chu Zhang 
Supported by the National Natural Science Foundation of China(No.10571093,No.10771123,No.10826059, No.10871104);the Natural Science Foundation of Shandong Province of China(No.Q2007A05);the SRFDP of China(No.20050055038);the Scientific Research Start-up Foundation of QFNU(NO.bsqd07028)
This paper gets some necessary conditions for the existence of some kinds of clear 4^m2^n compromise plans which allow estimation of all main effects and some specified two-factor interactions without assuming the rem...
关键词:Compromise plan CLEAR RESOLUTION 
复杂调查下的模型校正推断方法(英文)
《数学进展》2009年第2期233-240,共8页伍长春 
Supported by NSFC(No.10571093).
本文考虑了在无放回不等概率抽样下,当有完全辅助信息时,利用模型校正的伪经验对数似然方法去构造关于Y和F(t)的置信区间.同时考虑了非分层抽样和分层抽样的情形,定义了由模型校正估计量的设计效应调整的伪对数经验似然比函数,并导出了...
关键词:伪经验对数似然比 完全辅助信息 渐近分布 不等概率抽样 
BOUND ON THE MAXIMUM NUMBER OF CLEAR TWO-FACTOR INTERACTIONS FOR 2^(n-(n-k)) DESIGNS被引量:1
《Acta Mathematica Scientia》2008年第4期949-954,共6页赵胜利 张润楚 
NNSF of China(10571093,10671099 and 10771123);SRFDP of China(20050055038);NSF of Shandong Province of China(Q2007A05);the Visiting Scholar Program at Chern Institute of Mathematics
Clear effects criterion is an important criterion for selecting fractional factorial designs[1].Tang et al.[2]derived upper and lower bounds on the maximum number of clear two-factor interactions(2fi's)in 2^n-(n-k...
关键词:Random fractional design CLEAR resolution 
3水平因析设计的某些结果(英文)
《曲阜师范大学学报(自然科学版)》2008年第1期1-5,共5页赵胜利 刘艳丽 
This work was supported by the National Natural Science Foundation of China(10571093,10671099,10771123);the Research Foundation for Doctor Programma(20050055038);the Natural Science Foundation of Shandong Province(Q2007A05);the Scien-tific Research Start-up Foundation of QFNU(bsqd07028)
推广了J特征的定义,并证明了一个3水平部分因析设计由它的J特征唯一决定.主要结果是一个显式,它把设计点构成的集合与设计的J特征联系起来.通过这个公式,给出了G2最小低阶混杂的投影证明.
关键词:部分因析设计 G2最小低阶混杂 J特征 
THE ASYMPTOTIC DISTRIBUTIONS OF EMPIRICAL LIKELIHOOD RATIO STATISTICS IN THE PRESENCE OF MEASUREMENT ERROR
《Acta Mathematica Scientia》2007年第2期232-242,共11页伍长春 张润楚 
This work is supported by NNSF of China (10571093)
Suppose that several different imperfect instruments and one perfect instrument are independently used to measure some characteristics of a population. Thus, measurements of two or more sets of samples with varying ac...
关键词:Empirical likelihood ratio statistics asymptotic distribution measurement error 
Unbiased Quasi-regression被引量:1
《Chinese Annals of Mathematics,Series B》2007年第2期177-186,共10页Guijun YANG Lu LIN Runchu ZHANG 
Project supported by the National Natural Science Foundation of China (No. 10571093, No. 10371059);Specialized Research Fund for the Doctoral Program of Higher Education of China (No. 20050055038);the Natural Science Foundation of Shandong Province of China (No. 2006A13);the China Postdoctoral Science Foundation (No. 20060390169);the Tianjin Planning Programs of Philosophy and Social Science of China (No. TJ05-TJ002).
Quasi-regression, motivated by the problems arising in the computer experiments, focuses mainly on speeding up evaluation. However, its theoretical properties are unexplored systemically. This paper shows that quasi-r...
关键词:Computer experiment Quasi-regression UNBIASEDNESS Fitting of curve Asymptotic normality 
利用完全辅助信息的模型校正信息论方法
《Journal of Mathematical Research and Exposition》2007年第1期87-97,共11页伍长春 张润楚 
the National Natural Science Foundation of China(10571093);the Scientific Research Fund of Zhejiang Provincial Eduction Department(20061599).
本文我们提出了使用调查数据中完全辅助信息的模型校正K-L相对熵最小化方法.在估计有限总体均值时我们的估计渐近等价于MC估计(Wu and Sitter(2001)).我们方法一个有吸引力的优点是,导出的权具有特征:pi>0和■pi=0 .这使得可把此方...
关键词:模型校正 完全辅助信息 K-L相对熵 广义回归估计 经验似然 
含有纯净两因子交互作用成分的4^m2^n设计的某些结果被引量:3
《中国科学(A辑)》2007年第3期323-340,共18页赵胜利 张润楚 刘民千 
国家自然科学基金(批准号:10571093;10671099);教育部高校博士点基金(批准号:20050055038);陈省身数学研究所访问学者计划资助项目
纯净效应准则是选取最优部分因析设计的重要准则之一,近年来已经成为一个活跃的研究课题.对给定的k,通过构造2n-(n-k)设计,Tang等(2002)得到了分辨度III和IV的2n-(n-k)部分因析设计的纯净两因子交互作用最大数的上下界,但是这种方法只...
关键词:纯净 混水平 分辨度 两因子交互作用成分 
利用调查数据中完全辅助信息的广义模型校正方法(英文)
《南开大学学报(自然科学版)》2006年第6期68-74,共7页伍长春 张润楚 
Supported by NNSF of China(10571093);Scientific Research Fund of Zhejiang Provincial Education Department(20061599)
推广了模型校正方法去估计总体和均值以外的总体参数.建议的模型校正估计可以处理任何线性或非线性的工作模型,且在线性模型的情形下变为广义回归估计.通过Kronecker积,可把模型校正方法用于估计双线性参数,特别地,去估计方差和协方差.
关键词:广义模型校正 完全辅助信息 线性与双线性参数 广义回归估计 KRONECKER积 
Bounds on the maximum numbers of clear two-factor interactions for 2^((n1+n2)-(k1+k2)) fractional factorial split-plot designs被引量:7
《Science China Mathematics》2006年第12期1816-1829,共14页ZI Xuemin ZHANG Runchu LIU Minqian 
This work was partially supported by the National Natural Science Foundation of China(Grant Nos.10301015 and 10571093);the Specialized Research Fund for the Doctoral Program of Higher Education of China(Grant No.20050055038).
Fractional factorial split-plot (FFSP) designs have an important value of investigation for their special structures.There are two types of factors in an FFSP design: the whole-plot (WP) factors and sub-plot (SP) fact...
关键词:fractional FACTORIAL design split-plot clear effects criterion resolution. 
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