1) root root estimator
根方估计
1.
In this paper, a new biased estimator called partial root root estimator is proposed through analyzing the corresponding properties of root root estimator, Stein shrunken estimator, and Sclove partial shrunken estimator.
在分析根方估计、Stein均匀压缩估计、Sclove部分压缩估计各自特点的基础上,提出了一种新的有偏估计部分根方估计,并讨论了它的优良性质。
2.
When the designed matrix is ill-conditioned, Covariance Adjustment Estimatorβ~ 1 is not accurate, so we propose a class of new estimators—root root estimator, which is based on the mean square error criterion.
因此本文在均方误差意义下提出了一类新的估计―根方估计。
2) root power estimator
根方估计
1.
A new root power estimator ■(m_1,m_2) is proposed as to solving the problem that either or both of design matrixes A and B of growth curve model is/are likely to be ill-conditioned.
针对生长曲线模型中设计阵A与C至少有一个病态时的情况提出新根方估计■(m1,m2),并证明通过新根方参数mi(i=1,2)的适当选取,可使得该估计在均方误差意义下优于最小二乘估计及普通根方估计,证明其容许性及其对最小二乘估计抗干扰性的改进,并给出确定参数mi的两种方法。
3) local root square estimation
局部根方估计
1.
The superiorities of local root square estimationfor for mixed coefficient linear model parameter;
混合系数线性模型参数的局部根方估计的优良性
2.
On the basis of studying local root square estimation of parameter in a linear model with mixed coefficients,the properties of this estimation is proved,such as F-optimality and improvement on anti-jamming of least squares estimate under the principle of matrix condition number.
在研究混合系数线性模型参数的局部根方估计的基础上,进一步论证了此估计的F-优良性和在矩阵条件数准则下对最小二乘估计抗干扰性的改进。
3.
Two forms of local root square estimations of parameter d in a linear model with mixed coefficients dL(k) and dL(k) are given in the case of repeatedly measured data, where 0<k<1.
在连续测量数据情况下,给出了混合系数线性模型参数的局部根方估计dL(k)和dL(k)(0根方估计dL(k)和dL(K)在均方误差意义下优于LS估计,并讨论了局部根方估计的参数k的选取。
4) partial root root estimator
部分根方估计
1.
Under the mean square error matrix(MSE-M) criterion and Pitman Closeness(PC) criterion,the partial root root estimator is compared with LS estimator respectively.
在均方误差矩阵(MSE-M)准则和在Pitman Closeness(PC)准则下,比较了部分根方估计相对于最小二乘估计的优良性。
2.
In this paper, a new biased estimator called partial root root estimator is proposed through analyzing the corresponding properties of root root estimator, Stein shrunken estimator, and Sclove partial shrunken estimator.
在分析根方估计、Stein均匀压缩估计、Sclove部分压缩估计各自特点的基础上,提出了一种新的有偏估计部分根方估计,并讨论了它的优良性质。
3.
In term of the approximate multicollinearity of matrix, we propose the partial root root estimator and conditional partial root root estimator of coefficient in the classic linear model.
第五章分别对于无约束和线性约束下的线性回归模型，针对设计矩阵的病态问题，提出相应线性模型下回归系数的部分根方估计和条件部分根方估计。
5) Conditional Root Squares Estimation
条件根方估计
1.
The Conditional Root Squares Estimation of Regression Coefficient in Restricted Linear Regression Model;
约束线性回归模型回归系数的条件根方估计
6) RMS estimation error
均方根估计误差
补充资料：方方锦
方方锦 蜀锦品种之一。在织物单一的底色上，以彩色经纬线配以等形的方格，格内饰以不同色彩的圆形或椭圆形的图案。这种装饰方法，是对唐代“红子格”的继承和发展。组织结构为缎地上现纬浮花。四川南充曾用上述方法制成方方被面。
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