1) general biased estimate
广义有偏估计
1.
We put forward a general biased estimate and prove that the mean square error of the general biased estimate is less, than the mean square error of the covariance improvement estimate when the multi-collinearity is exist.
本文提出了一种广义有偏估计,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协方差改进估计的均方误差。
2) generalized two steps biased estimate
广义两步有偏估计
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。
3) almost unbiased generalized ridge estimator
几乎无偏广义岭估计
4) Almost Unbiased Generalized Liu Estimator
几乎无偏广义Liu估计
5) biased estimation
有偏估计
1.
Study on the Restricted Biased Estimation in the Linear Model;
线性模型中的约束型有偏估计的研究
2.
iscusses the problem of linear biased estimation of the parent mean.
本文讨论母体均值的线性有偏估计问题，给出了在均方误差意义下线性有偏估计优于样本均值的充要条件。
3.
To linear regression models Y=Xβ+ε,E(ε)=0,Cov(ε)=σ2V,V>0,the necessary and sufficient condition that biased estimation β*h=(XTV-1X+hI)-1(XTV-1Y+β*) is an admissible estimation is obtained and β*h condition that is superior to ridge estimation is also given.
对于线性回归模型Y=Xβ+,εE(ε)=0,Cov(ε)=σ2V,V>0,给出了回归系数的有偏估计βh*=(XTV-1X+hI)-1(XTV-1Y+β*)(h>0)优于岭估计的条件以及在二次损失下可容许的充要条件。
6) biased estimate
有偏估计
1.
A class of biased estimate of regression coefficients;
回归系数的一种有偏估计
2.
A new class of biased estimate in the multiple linear model;
多元线性模型参数的有偏估计
3.
In the linear regression model:Y=Xβ+ε,E(s)=0,cov(ε)=σ2v,v>0,reference [1] presented a biased estimate:β*s=(XTV-1X+sI)-1(XTV-1Y+β*),where s>0 was a parameter and β was the generalized least squares estimate.
对于线性回归模型:Y=Xβ+,εE(s)=0,cov(ε)=σ2v,v>0,文献[1]给出了有偏估计sβ*=(XTV-1X+sI)-1(XTV-1Y+β*),其中s>0为参数,β表示线性回归模型的广义最小二乘估计,文献[2]中已经证明了sβ*的可容许性并且有很多优良性质。
补充资料：有偏估计
分子式：
CAS号：
性质：由样本值求得的估计值与待估参数的真值之间有系统误差，其期望值不是待估参数的真值。这种估计称为有偏估计。
CAS号：
性质：由样本值求得的估计值与待估参数的真值之间有系统误差，其期望值不是待估参数的真值。这种估计称为有偏估计。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条