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线性模型中最小二乘估计的一种新的相对效率 总被引:65,自引:5,他引:60
对于线性模型未知参数最小二乘估计,本文提出了一种新的相对效率,并研究了它的性质,以及与Bloonfield-Watson等,讨论过的另一种相对效率的关系。 相似文献
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线性模型参数估计的一种新的相对效率 总被引:2,自引:0,他引:2
本文对线性模型的最小二乘估计(LSE)与最佳线性无偏估计(BLUE)提出了一种新的相对效率并给出了新的相对效率的上、下界,最后还讨论了新的相对效率与已有的几种相对效率的关系。 相似文献
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刘爱义,王松挂在文[1]中提出了线性模型未知参数的最小二采估计的一种新的相对效率,本文将在奇异线性模型下,研究量小二乘估计的相对效率的下界。 相似文献
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聚集数据线性模型参数估计的相对效率与广义相关系数 总被引:2,自引:0,他引:2
对于聚集数据的线性模型,本文给出了Peter—Karsten估计相对于最佳线性无偏估计的一个相对效率,得到了相对效率的下界,讨论了该相对效率与广义相关系数的关系. 相似文献
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回归系数的混合估计与最小二乘估计的两种相对效率 总被引:1,自引:0,他引:1
本文研究了线性回归模型中,回归系数的混合估计与最小二乘估计的相对效率,利用矩阵的相关性质和运算,导出了两者之间两种新的相对效率的上下界. 相似文献
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对于聚集数据的多元线性模型,提出了参数的多元聚集广义岭估计的概念,给出了多元聚集广义岭估计相对于最小二乘估计及最佳线性无偏估计的两种相对效率,并得到了这两种相对效率的上界. 相似文献
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Kunyang Wang Feng Dai 《分析论及其应用》2007,23(1):50-63
As early as in 1990, Professor Sun Yongsheng, suggested his students at Beijing Normal University to consider research problems on the unit sphere. Under his guidance and encouragement his students started the research on spherical harmonic analysis and approximation. In this paper, we incompletely introduce the main achievements in this area obtained by our group and relative researchers during recent 5 years (2001-2005). The main topics are: convergence of Cesaro summability, a.e. and strong summability of Fourier-Laplace series; smoothness and K-functionals; Kolmogorov and linear widths. 相似文献
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《数学学报(英文版)》2014,(10)
<正>Submission Authors must use LaTeX for typewriting,and visit our website www.actamath.com to submit your paper.Our address is Editorial Office of Acta Mathematica Sinica,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,P.R.China. 相似文献
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《运筹学学报》2014,(3)
正August 10-14,2015Beijin,China The International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists 相似文献
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Yuxian Zheng 《分析论及其应用》2006,22(2):136-140
In this paper, we study the commutators generalized by multipliers and a BMO function. Under some assumptions, we establish its boundedness properties from certain atomic Hardy space Hb^p(R^n) into the Lebesgue space L^p with p 〈 1. 相似文献
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H. H. Cuenya M.D. Lorenzo C. N. Rodriguez 《分析论及其应用》2007,23(2):162-170
In this paper we study best local quasi-rational approximation and best local approximation from finite dimensional subspaces of vectorial functions of several variables. Our approach extends and unifies several problems concerning best local multi-point approximation in different norms. 相似文献
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《中国科学 数学(英文版)》2014,(8)
<正>May 26,2014,Beijing Science is a human enterprise in the pursuit of knowledge.The scientific revolution that occurred in the 17th Century initiated the advances of modern science.The scientific knowledge system created by 相似文献
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《计算数学》2014,(2)
<正>August 10-14,2015Beijing,ChinaThe International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists 相似文献
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W.M.Shah A.Liman 《分析论及其应用》2004,20(1):16-27
Let P(z)=∑↓j=0↑n ajx^j be a polynomial of degree n. In this paper we prove a more general result which interalia improves upon the bounds of a class of polynomials. We also prove a result which includes some extensions and generalizations of Enestrǒm-Kakeya theorem. 相似文献