And we can see that in the special case of c → 0, the best estimator under exponential loss function is also the mean of the posterior structure function, which corresponds to the classical exact credibility result using a quadratic loss function.

The smaller the smoothing parameter, the more iterations are necessary to reach the minimum RMSE; 4.The RMSE of the best estimator with different smoothing parameters are nearly the same, but visual effect is different.

较小的平滑参数需要更多的迭代次数；4、不同平滑参数的最佳估计的误差很接近，但视觉效果不同。

Applying these methods, it derives the best estimator under MSE criterion in some subclasses of invariant estimator of variance component in the model;

使用这些方法导出了模型方差分量的若干不变估计类中MSE准则下的最优估计；

Both theoretical and computational results demonstrate that the PR estimator is a effective biased estimator for overcoming the effect of multicollinearity and is superior to the ordinary ridge estimator.

理论分析与计算结果表明，对于克服设计阵的复共线性对参数估计危害，部分岭估计是一种有针对性的有偏估计，它明显优于普通岭估计。

Instead of using the homomorphic filter which is used to get rid of multiple noise and is a biased estimator, this algorithm translates speckle into locally stationary additive white noise.

该算法不同于有偏的去除乘性噪声的同态滤波算法，而是将噪声转化为局部平稳的加性白噪声。

Selecting Weight Fitting Method for Baseline Solution with Systematical Errors Continuation Research on Using the Biased Estimator to Resolve GPS Double-Difference Base-line Model

利用系统误差延续性的基线解算选权拟合法GPS双差基线模型的有偏估计解法研究

Comparison and Selection between Biased Estimator and LS Estimator

有偏估计与LS估计的比较与选择

Biased estimator based on diagnosis and measure of Multicollinearity

基于复共线性诊断和度量的有偏估计

Research on Using the Biased Estimator to Resolve GPS Double-Difference Base-line Model

GPS双差基线模型的有偏估计解法研究

The problem of parameter estimator of structural error-in-variable models is considered. A kind of the model's parameter estimate method is given for any parameter space Θ. The strong consistent property of the estimator is shown.

考虑结构关系度量误差模型的参数的估计问题，对于任何参数空间Θ，给出模型参数的一种估计方法，并证明这种估计是强相合的。

Consistent uniformly asymptotically normal estimator

相容一致渐近正态估计量

Under some conditions, we get consistent property of this estimator and its asymptotic distribution.

在一些条件下，我们建立了该估计的相合性质和渐近分布性质。

This paper studies the relationship between DEA and maxium likelihood estimator. It is proved that under certain conditions, DEA is shown to be maximum likelihood estimator. It is also proved that DEA is a biased as well as a consistent estimator.

本文研究了数据包络分析（DEA）方法与极大似然估计的关系，证明了一定条件下，DEA为极大似然估计，并且是一个有偏一致估计。

At first, scholars discussed the property of recursive kernel density estimator under the independent and identical distribution sequences, they obtained the corresponding results.

关于递归型密度函数核估计的性质，人们最初是在独立同分布情形下研究的，并取得了相应的结果。

In this paper, we study a recursive kernel distribution estimator of unknown distribution function F ( x) for negatively associated samples.

在NA相依样本条件下，对未知分布函数F（x）的递归核估计进行研究。

Application of the Extented Forgetting Factor Recursive Least Squares Estimator to GPS

推广的遗忘因子递推最小二乘算法在GPS中的应用

A Recursive Distribution Function Estimator Under NA Samples One of Distributed Recursive Queries Based on XML

负相协样本分布函数的递归型核估计基于XML的分布式数据库递归查询优化

This paper presents a multivariable bilinear adaptive decoupling control algorithm, which employs a modified recursive least-squares estimator, and analyses its convergence and stability.

本文对一类多变量双线性系统，用修改最小二乘辨识方法，建立了自适应解耦控制算法，分析了该算法的收敛性和稳定性。

Strong Consistency of Regression Function Recursive Kernel Estimator under Negatively Associated Samples

NA样本回归函数递归型估计的强相合性

The famous Kalman filtering algorithm is the best bayesian recursive estimator for solving linear Gaussian for more than 40 years.

著名的卡尔曼滤波算法从四十多年前被提出以来一直是用来解决线性高斯环境的最佳递推贝叶斯估计器。

Method of least squares and minimum linear variance unbiased estimator are applied to detailed procedures with practical examples;

结合具体事例介绍了利用最小二乘法和最小方差线性不偏估量法进行设备寿命预测的具体步骤；