查询词典 estimable

It is proved that the least squareestimators of linear estimable functions of regression coefficients areadmissible under matrix loss and minimax. The necessary and sufficientexistence conditions are derived for the uniformly minimum riskequivariant estimators of linear estimable functions ofregression coefficients under an affine group and a transitive group oftransformations respectively. It is also proved that there are no UMREestimators ofthe covariance matrix and variance under an affine groupof transformations and quadratic loss functions.

本文证明了回归系数的线性可估函数的最小二乘估计是极小极大的且在矩阵损失函数下是可容许的；还分别在仿射变换群和平移群下导出了存在回归系数的线性可估函数的一致最小风险同变估计的充要条件，并证明了在仿射变换和二次损失下不存在协方差阵和方差的 UMRE 估计。

We get the necessary and sufficient conditions about admissibility for linear estimators of estimable function among the inhomogeneous linear class.

利用矩阵的向量化方法，研究了带线性约束的增长曲线模型中可估函数的线性估计在非齐次线性估计类中可容许的充要条件。

Finally, the superiorities of the linear estimator of estimable function for regression coefficients are discussed in non-full rank case.

最后，讨论了当设计阵为非列满秩时，回归系数的可估函数的一类线性估计的优良性。

As to the linear minimax estimators of estimable function in the linear model, Xu Xingzhong and Yu Shenghua have done some improved research.

对于线性模型可估函数的线性Minimax估计问题，徐兴忠、喻胜华等已作出了比较完善的研究。

Chapter Four deals with the linear admissible minimax estimators of linear estimable function of parameter matrix in the given linear estimator for a general growth curve model.

第四章讨论了一般增长曲线模型参数阵的线性可估函数在给定的线性估计类中的容许Minimax估计，并给出了具体的表达式。

I Under the general linear model with normal error vector and under convex or matrix losses, the necessary and sufficient condition for there to be UMRU estimators of any linear estimable function SXβ of regression coefficients are obtained.

i在误差向量遵从正态分布，在凸损失或矩阵损失下，得到了回归系数的可估线性函数SXβ的UMRU估计存在的充分必要条件。

For robustness of parameter estimation of linear model,we obtain the maximal classes of the error distribution,in which Generalized Least Squares Estimate,Gauss-Markov Estimate of estimable function of parameters,and Minimum Norm Quadratic Unbiased Estimator of variance maintain their optimal statistical properties.

这些研究成果不仪具有比较深刻的理论意义，还具有较为广泛的应用价值。

We make the following assumption for When 2 is positive definite matrix, different estimators about matrix of regression coefficients and inefficiency of Least squares estimate have been discussed in many documents. Considered 2 is nonnegative definite matrix, this thesis derives Best linear unbiased Estimate of parameter matrix B and estimable parameter function KBL under the meaning of matrix nonnegative definite and the property of maximum probability of BLUE is investigated.

当∑＞0时，众多文献讨论了回归系数阵的各种估计及LSE的有效性，本文考虑了当∑≥0的情形，给出了回归系数阵B及其可估参数函数KBL的在矩阵非负定意义下的最优估计，研究了它的一个最大概率性质，并且讨论了最小二乘估计成为最佳线性无偏估计的充分必要条件，在此基础上给出了均值矩阵的最小二乘估计与BLUE的偏差估计，定义了LSE相对于BLUE的一个相对效率，并给出了它的界。

This is one kind of love , one kind of vast love , is one kind of estimable spirit quality.

这是一种爱、一种博大的爱，又是一种难能可贵的精神品质。

The value of a true friend is not estimable.

一个真正朋友的价值是无法估量的。

They go to town. Would you just ask them?

他们在城里你能问他们吗？

Ossein pretreated for a2 weeks period exhibited the maximum% yield incase of bone gelatin, while the yield from intact skin was higher than that realized incase of de-scaled skin.

预处理时间达2星期的骨胶原表现出最高的骨明胶百分产量，然而从未处理鱼皮中得到的产率比去鳞的鱼皮得到的要高。