Presented are the construction of a nonlinear wavelet estimator and an adaptive nonlinear wavelet estimator of regression function for fixed design.

An Algorithm and Decoupling Simplification of a Nonlinear State Estimator

一种非线性状态估计器的算法实现与解耦简化

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Quality and sampling variance about a kind of nonlinear regression estimator

一类非线性回归估计量的性质与抽样误差

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A Modified Nonlinear Estimator of LOS-Angle Acceleration with LOS-Rate Measurement Only

一种改进的视线角加速度非线性估计与滤波方法研究

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Best Unbiased Estimator for Trend& A Method of Getting Trend of Digital Elevation Model This paper proposed an algorithm for finding critical value of normal population variance under unbiassed tests with uniform dominance.

数字高程模型中求趋势的一种方法&无偏最优求趋势法本文给出了求正态总体方差的一致最优化无偏检验的临界值的算法。

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Inadmissibility of the Best Scale-invariant Estimator of Scale Parameters

尺度参数的最优尺度不变估计的非容许性

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The best invariant estimator of covariance matrix in multivariate linear model

多元线性模型中协差阵的UMVIQUE存在的充要条件

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The best estimator selection was also discussed. The results show that the correlation obtained by the equation established from FD is the best, and the lg ( 1/ R) spectra can improve the retrieval of chlorophyll contents with remote sensing.

结果表明，叶绿素含量与反射率一阶微分光谱方程的相关性最强，而采用lg（1/R）的光谱形式能够提高遥感反演叶绿素含量的效果。

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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.

最后我们可以看到，指数损失函数下的最优贝叶斯估计在特殊情况下（c→0的极限情况）就是经典的平方损失函数下的最优贝叶斯估计。

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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。

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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；

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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。

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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。

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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

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Comparison and Selection between Biased Estimator and LS Estimator

有偏估计与LS估计的比较与选择

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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

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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

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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。

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Consistent uniformly asymptotically normal estimator

相容一致渐近正态估计量

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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。

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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。

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