第三章是关于回归系数的可容许估计，这包括统计线性模型不受约束和受约束的情形。
In the third part, we give the admissible estimators of regression coefficients in statistical linear model with or without constraints.
证明了在均方误差准则下，在该估计类中不存在一致最优不变估计，且方差分析估计是不容许估计。
It is proved that there is no best estimator in the class under mean-squared-error criterion and the Analysis-of-variance (ANOVA) estimator is also inadmissible.
本文讨论带约束生长曲线模型中回归系数线性估计的泛容许性，给出了回归系数的线性估计在线性估计类中是泛容许估计的充要条件。
In this paper, we will consider the universal admissibility for linear estimators of regression coefficients under growth curve model with respect to restricted parameter sets.
文摘：一般线性模型可估函数的可容许估计问题已有详细的讨论。对一般线性模型在矩阵损失下，得到了不可估函数的线性估计为可容许估计的充要条件。
Abstract: Under the matrix loss function, the necessary and sufficient conditions of linear admissible estimates of nonestimatible parameter functions for a general linear model are obtained.
矩阵损失下贝努利分布均值的线性估计可容许性。
Admissibility of linear estimators of Bernoulli distribution mean values under matrix loss.
本文讨论增长曲线模型回归系数的线性估计的容许性。
In this paper, we consider the admissibility of linear estimates of regression coefficients in growth curve model.
本文在矩阵损失下研究了一般增长曲线模型中随机回归系数线性估计的可容许性。
We investigate the admissibility of the linear estimate of random regression coefficients under a matrix loss function in general growth curve models.
在二次损失函数下，研究了增长曲线模型误差方差的非齐次二次型估计的可容许性问题。
The admissibility of non-homogeneous quadratic form estimate of variance on the growth curve model was studied under quadratic loss function.
该方法唯一性的证明过程依赖于时空估计，而两类方程的时空容许对却截然不同，该如何选取合适的时空容许对呢?。
The method depends on Strichartz estimate while the admissible pairs of two kinds of equations are different, how to choose the admissible pairs?
文中给出并证明了在椭球约束条件下线性模型中，误差方差的非负二次估计的可容许性问题的一个必要条件。
The paper raises and proves an essential condition of volumetric property of nonnegative secondary estimation of deviation and variance in linear model.
本文讨论多元回归系数线性估计的可容许性。
In this paper, we discuss the admissibility for linear estimates on multivariate regression coefficients.
此判据既考虑了限制容许位移的不确定性，也考虑了期望荷载下的估计位移的不确定性。
It considers uncertainties in both estimated displacements under expected service loads and the limiting tolerable displacements.
在二次损失函数下，研究了增长曲线模型误差方差的非齐次二次型估计的可容许性问题。
We study the admissibility of the quadratic estimate for error variance in two classes of growth curve model.
本文给出了线性模型中椭球约束下，误差方差非负二次估计可容许的一个必要条件。
This paper gives a necessary condition for the admissibility of a nonnegative, quadratic estimator for error variance in linear model with respect to restricted ellipsoidal parameter space.
此外，还对一种新的约束压缩估计的性质进行了讨论，并从整体上论述了这批有偏估计的容许性。
In this paper is also presented a discussion on the characteristics of a new constrained compression estimation and its admissibility.
本文研究了带有不等式约束的生长曲线模型中线性估计的容许性与泛容许性问题。
The Minimax admissibility of linear estimates with respect to restricted multivariate regression coefficient under matrix loss function is considered.
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。
In this thesis, the admissibility and general admissibility of linear estimators in growth curve model with respect to inequality restriction are considered.
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。
In this thesis, the admissibility and general admissibility of linear estimators in growth curve model with respect to inequality restriction are considered.
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