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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。

We first state general linear model, ridge-type estimator and general ridge-type estimator, and the constraint biased estimator. And then, we introduce some basic theory about matrix and some conclusion about the admissibility of estimator in Gauss-Markov model. In the third chapter, we discussion several equivalent characterization of the best linear unbiased estimation, we proved that admissible characterization of admissible of linear estimation is as conditional general ridge-type estimation in general linear model. A necessary and sufficient condition that homogeneous linear estimator is admissible estimator is obtained.

本文首先概述了一般线性模型,岭估计及约束岭估计的发展历史和研究现状,在第二章介绍了矩阵的一些基本知识和可容许性的一些基本结论,第三章讨论了一般线性模型最佳线性无偏估计的几个等价条件,以及线性估计的可容许性特征,得到了一般线性模型的可容许线性估计均具有条件广义岭估计的形式,给出了一个齐次线性估计为可容许估计的充分必要条件。

Under quadratic loss function, the definition of conditional admissible prediction is given and some necessary and sufficient conditions for linear predictions Ly_s of conditional linear predictable variable Qy to be admissible are obtained.

在二次损失函数下,给出了条件可容许预测的定义,在齐次线性预测类和非齐次线性预测类中得到了条件线性可预测变量Qy的线性预测Ly_s是可容许预测的充要条件。

Some, however, believe that an episcopal form of church government is the proper, or at least the allowable, form of organization.

不过,有些人认为,一个主教形式的教堂,政府是正确的,或者至少是可容许的,组织形式。

In the fourth chapter, we discussion the characterization of admissible in the general linear model under equality constraint and inequality constraint, we give the necessary and sufficient condition that homogeneous linear estimator is admissible estimator, and by using the relationship between homogeneous and inhomogeneous linear estimator, we obtain the characterization of admissible inhomogeneous linear estimator.

第四章分别在带等式约束条件以及不等式约束条件下,讨论了一般线性模型线性估计的可容许性特征,给出了在约束条件下齐次线性估计为可容许估计的充分必要条件,同时利用齐次线性估计与非齐次线性估计之间的关系,把齐次线性估计的可容许性特征推广到了非齐次线性估计的可容许性特征。

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

Combining NA samples the EB estimation with convergence rates is also obtained; Thirdly, for one-parameter exponential distribution family, we give the parameters' EB estimator that is admissible and asymptotically optimal with convergence rates. Finally, Bayesian and hierarchical Bayesian approaches are applied to analyze the reliability performances for series system with cold standby units and the numerical simulation results show that multiple Bayes estimator is superior to Bayes estimator.

其次,针对一类双边截断分布族,在非对称linex损失下构造了经验Bayes决策函数,建立了它的收敛速度,给出了渐近最优的证明;并结合NA样本研究了参数的经验Bayes估计及其收敛速度;接着给出了指数族参数的经验Bayes估计,证明了它是渐近最优的,也是可容许的,同时也获得了该EB估计的收敛速度;最后,运用Bayes与多层Bayes方法研究了具有冷贮备部件串联系统的可靠性指标的估计,并给出了数值模拟结果,结果表明多层Bayes估计优于Bayes估计。

In recent years, the minimax admissibility has become more and more popular, which is regarded as a new problem of the admissibility theory.

特别是近些年来,Minimax可容许性作为可容许理论的一个新课题,其研究也越来越受到人们的重视。

Subsidiary controls affecting trim and/or drag are permitted, but only if they operate symmetrically.

当他们稳定的操作时,附属的控制将对可容许的平衡及/或吸拉阻力产生作用。

On the basis of the mechanism research of nozzle spraying, the measurement of the particle size of droplet which produced by nozzle atomization, the dust examination on the working face and the simulation of dust along the whole working face, the author puts forward a optimized dust-laying system of support spraying, and it has obtained a good dust-laying effect dust-laying work.

由于综放工作面的产尘量较采用其它生产工艺的采煤工作面的产尘量要大,因此,从保护现场作业人员职业安全健康以及企业安全生产的角度考虑,必须将综放工作面的粉尘浓度控制在可容许的范围以内。

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歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车,和一双合并为一移交&整个lotta爱&。

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