容许估计

Admissibility is one of the important criterions to compare the goodness of estimators in the view of statistical decision.

可容许性从统计判决的角度来衡量估计的优良性，是衡量估计优良性的重要准则之一。

This paper make a review about the history and development in the theory of admissibility estimation in linear model and Variance Component Model.

本文综述了线性模型中参数估计的可容许性理论的历史及近年来的发展，同时也提出了一些待解决的问题。

In this paper, the function of regression matrix is estimated in a growth curve model, and the necessary and sufficient conditions that a linear estimator of the function is admissible among the class of all lin ear estimators under matrix loss are obtained.

摘 要：对增长曲线模型中回归矩阵的函数的线性估计进行了研究。在矩阵损失下，作者得到了线性估计在一切线性估计类中可容许的充要条件。

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。

In this paper, the formula of Expect Bayes estimation of the reliability under entropy loss function and square loss function for geometric distribution have been given, when the prior distribution of the reliability is power distribution.

本文在几何分布的先验分布为幂分布时研究了其在熵损失函数下，可靠度的多层Bayes估计及其容许性，给出了可靠度的多层Bayes估计的计算公式。

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。

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。

GPS precise positioning, baseline precision, general normal equation, decorrelated and admissible integer transformation, ambiguity integer solution, success rate, admissible integer estimation, pull-in region, probability density function

GPS 精密定位，基线精度，通用法方程式，降相关的可容许整数变换，模糊度的整数角，成功率，可容许整数估计，归整域，概率密度

In Chapter 2, the Balanced LS Estimation is defined for the linear model when its error covariance is positive definite or singular. The new estimation as well as the necessary and sufficient conditions is gained for its unbiasedness, efficiency and admissibility.

第2章提出了一般线性回归模型和奇异线性回归模型平衡LS估计的概念，得到回归系数β的平衡LS估计，进而探讨了这种估计的无偏性、有效性和可容许性。

Prove it's admissibility and give Hemmerle and Brantle's method of choosing the ridge parameters.

证明其容许性并利用Hemmerle和Brantle用于确定广义岭估计参数的方法给出极小化均方误差的无偏估计法选取岭参数。

I'm strongly against the death penalty — it's an eye for an eye.

我不赞成死刑——这是以牙还牙的报复行为。

And to get you the support you need, we're enlisting all elements of our national power: our diplomacy and development, our economic might and our moral suasion, so that you and the rest of our military do not bear the burden of our security alone.

并给你们所须的支援，我们正徵召国家所有各种的力量：我们的外交及发展，我们的经济力量与道德劝说，所以你们与其他军人不须要孤独地负起国家安全的责任。