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1)  two steps covariance improvement estimate
两步协方差改进估计
1.
We put forward a generalized two steps biased estimate and prove that the mean square error of the generalized two steps biased estimate is less than the mean square error of the two steps covariance improvement estimate when the designed matrix is ill-condition.
本文提出了一类相依回归系统参数的广义两步有偏估计,证明了当设计矩阵呈病态时,广义两步有偏估计的均方误差小于两步协方差改进估计的均方误差。
2.
We put forward a two steps biased estimate and prove that the MSE of above estimate is less than the MSE of the two steps covariance improvement estimate when the multi-collinearity is exis
本文提出了一种两步有偏估计,证明了当设计矩阵呈病态时,这种有偏估计的均方误差小于两步协方差改进估计的均方误差。
2)  two-stage covariance-improved estimator sequence
两步协方差改进估计序列
3)  covariance improvement estimator
协方差改进估计
1.
We give a sufficient and necessary condition for the covariance improve- ment estimator of the unknown regression coefficient and their estimable functions under the reduced model remains covariance improvement estimator in the partitioned seemingly unrelated regression model.
给出简约模型下未知回归系数及其可估函数的协方差改进估计仍是分块SUR模型下相应参数的协方差改进估计的一个充要条件。
2.
For a chass of seemingly unrelated regression system(1),when the design matrix X_1 is ill-conditioned,Wang song-gui has proposed improvement estimators _1(k)、_1(T,k) of covariance improvement estimators _1、_1(T) for covariance matrix V is known or unknown in[1].
讨论这两种有偏估计与它们的协方差改进估计β1~,β~1(T)及最小二乘估计β1∧之间的相对效率问题,并给出了相对效率的上界或下界。
4)  covariance-improved estimator
协方差改进估计
1.
In this paper we try to obtain the covariance-improved estimator sequence and the convergence of two-stage covariance-improved estimator sequence.
对于由两个误差项相关的线性回归方程组成的SUR系统,通常地根据以往的知识经验可以获得有关未知参数β的一些信息,该文就是在线性约束r=Rβ下,讨论SUR系统的协方差改进估计序列及两步协方差改进估计序列的收敛性问题。
2.
The exact finite sample result of MSEM of the two-stage covariance-improved estimator introduced by Liu and Wang (1999) is obtained in SUR model with the multivariate t-distribution.
本文把文献中关于正态分布下相依回归模型参数Zellner估计的有限样本均方误差 结果和效率结果以及两步协方差改进估计的一般均方误差结果推广到多元t分布情况, 在该分布下两种估计的统计优效性质均不变。
5)  generalized covariance improvement estimate(GCIE)
广义协方差改进估计
6)  improved covariance spectrum estimation
改进协方差谱估计法
补充资料:协方差
分子式:
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性质:度量随机变量y与x相随变动的一个指标。协方差Cxy由下式计算: 式中,xi、yi分别是随机变量x和y的第i次值,、分别是随机变量y和x的,n次值的平均值。Cxy受x与历度量单位的影响,当除以x与y的标准差后,得到相关系数:后者可以消除x与y度量单位的影响,更能真实地反映x与y之间相随变动的线性相关的程度。

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