The optimization and admissibility of the linear estimator in the variance components model with stochastic regression coefficients;
方差分量模型中线性估计的最优性及可容许性
Admissibility of Strict πps Sampling Scheme in Class of Unequal Probability Sampling Scheme Without Replacement;
严格πps抽样方案在不放回不等概率抽样方案中的可容许性
Admissibility of Homogenous and Non-homogenous Estimate of Covariance Matrix in Growth Curve Model;
生长曲线模型中协方差矩阵的齐次和非齐次估计的可容许性
The Minimax admissibility characterization of linear estimators with respect to the common mean linear models with linear quality constraints is considered under a matrix loss function.
讨论了矩阵损失下带约束的共同均值线性模型的回归系数线性估计的Minimax可容许特征,根据可容许估计和Minimax可容许估计的定义,给出了非齐次线性估计类中Minimax可容许估计的充要条件,并进行了证明。
Using the result for non-restricted model, we transform the restricted model to common model, and multi collectivity model to single collectivity model, thus, the necessary and sufficient conditions that nonhomogeneous linear estimators for Sβ are admissible in the class of nonhomogeneous linear estimators are obtained which filled the blank for admissibility for restricted linear model.
对线性等式约束的共同均值线性模型,利用无约束单总体模型的现有结果,通过适当变换,把等式约束模型向无约束转换,并把多总体转换为单总体,在矩阵损失下找到了均值参数β的条件可估函数Sβ的线性估计∑mAiyi+a在非齐次线性估计类中可容许的充要条件,填补了等式约束的共同均值线性模型可容许性方i=1面的空白。
This paper has given the necessary and sufficient condition for the admissibility of estimator LY+d of β which may be estimable or unestimable in the class of all estimators.
对于带有不完全椭球约束的线性模型Y ～N(Xβ ,V) ,β′X′NXβ 1 (N 0 ,V>0已知 )本文给出了 β(可估或不可估 )的线性估计LY+d在二次损失下在一切估计类中可容许的充要条
For the linear model Y=Xβ+ε,ε~N(0,V),with the constraint RXβ≥0,where [WTHX]V>0 is known,the necessary and sufficient conditions for a linear estimator of β to be admissible in the class of all(estimators) are obtained.
对于线性模型Y=Xβ+ε,ε~N(0,V),V>0已知,给出了在不等式约束RXβ≥0下β的线性估计在二次损失下及一切估计类中为可容许的充要条件。
By using the matching theorem on hyperconvex space,a fixed point theorem for non-selfmultimap on non-compact admissible subset of a hyperconvex space was obtained.
运用超凸空间上的匹配定理,得到了超凸空间的非紧可容许子集的非自映射的不动点定理,对文献中的相应结果进行了一般化和改进。
By using the well known matching theorem on hyperconvex space,a Ky Fan type best approximate fixed point theorem is obtained,and then a fixed point theorem for non-self multimap on non-compact admissible subset of a hyperconvex space is given as application.
利用超凸空间上的匹配定理得到Fan型最佳近似不动点定理并作为应用给出了超凸空间的非紧可容许子集上的非自映射的不动点定理。
Admissibility of Linear Predictor in Multivariate Linear Model;
多元线性模型中线性预测的可容许性
Notes on Admissibility of Linear Estimators under Matrix Loss Function
矩阵损失下线性估计可容许性的注记
The Minimax Admissibility of the Estimable Function and the Linear Prediction under Quadratic Loss Fuction;
二次损失下可估函数与线性预测的Minimax可容许性
Admissibility of Linear Estimators in Linear Models with Respect to Inequality Constraints;
不等式约束下线性模型中线性估计的可容许性
Admissibility of Linear Predictions in Linear Models with Constraints;
带约束条件的线性模型中线性预测的可容许性
Linear Admissibility of Vector Function in Growth Curve Model
增长曲线模型中向量函数的线性可容许性
THE ADMISSIBILITY OF NON-HOMOGENE OUS ESTIMATE OF VARIANCE IN LINEAR MODEL
线性模型中误差方差的非齐次估计的可容许性
Admissibility for Linear Estimators of the Common Mean Matrix Parameter
共同均值矩阵参数的线性估计的可容许性
Admissibility of Non-homogeneous Linear Estimators of Gamma Distribution Mean Values;
标准伽玛分布均值的非齐次线性估计可容许性
Admissibility of Linear Estimators in Growth Curve Model with Respect to a Restricted Parameter Set;
带约束的增长曲线模型中线性估计的可容许性
Admissibility of Nonhomogeneous Linear Estimators of Matrix Function under Matrix Loss Function in Growth Curve Model;
增长曲线模型非齐次线性估计的可容许性
Admissibility of Linear Estimators in Growth Curve Model with Restricted Conditions
带约束的增长曲线模型线性估计的可容许性
Admissibility for Linear Estimators of the Regression Coefficients in the Growth Curve Model
增长曲线模型回归系数线性估计的可容许性
Admissibility of Regression Coefficient in Variance Components Models(Ⅱ)
方差分量模型中回归系数估计的可容许性(Ⅱ)
Study on the Generalized Ridge & Principal Correlation Estimate and Admissibility;
广义岭型主相关估计与可容许性的研究
The minimax admissibility characterization of homogeneous linear estimates for regression coefficients under quadratic loss function;
二次损失下回归系数的Minimax可容许性估计的特征
Admissibility of Linear Predictor in Multivariate Linear Model with Linear Equality Constraint;
带线性等式约束的多元线性模型中线性预测的可容许性
Characterization of Admissibility for Linear Estimator and Its Superiority in General Linear Model;
一般线性模型中线性估计的可容许性特征及优良性