无偏性

在测度弱收敛的意义下，研究了一般概率测度μ的核估计μn，得到了它的渐近无偏性、强相合性及在给定条件下的收敛速度。

The kernel estimation μ n of general probability measure μ is studied . The asymptotic unbiasedness and the strong consistency and rate of convergence under given conditions are obtained .

利用上述推广的结果，直接给出了广义线性模型中可估函数c′β的最小二乘估计c′β的唯一性和无偏性的证明。

Using this generalization , we obtain a direct proof of the uniqueness and unbiasedness on the least square estimate c ′β ~ of the estimable function c ′β in the generalized linear models .

一元Laplace分布的L1-范估计的无偏性

The Unbiasedness of L_1 Estimation of Monistic Laplace Distribution

缺失数据下Jackknife方差估计量的渐近设计无偏性

Asymptotic design-unbiasedness of jackknife variance estimators in the presence of missing data

对于Tao等（1999）提出的一类线性混合效应模型，构造了随机效应密度的非参数估计，并证明了此估计量具有渐近无偏性。

Consider a kind of linear mixed effects model which was proposed by Tao et al ( 1999 ), the nonparametric estimator of the density of the random effects was established . It is shown that the estimator is an asymptotic unbiased estimator .

算法采用了以2为模的Sobel算子梯度建立图像清晰度评价函数的数学模型。该评价函数具有无偏性好，单峰性强，灵敏度高，在焦平面变化趋势明显等特点。

In our algorithm , we build up the mathematic model of image definition evaluation with the gradient of Sobel operator modulo 2 . This evaluation function has features of small deviation , single peak , and high sensitivity , apparent variation trend near focus plane .

本文基于分数低阶统计量的原理，根据确定性平均方法，结合文中给出并证明的两个引理，对DLMP算法的估计结果的无偏性进行了理论分析和证明。

Based on the fractional lower order statistics theory , the deterministic averaging method and two lemmas introduced and proved , this thesis gives an analysis of the convergence property of the DLMP algorithm in theory .

定位参数抗差估计的无偏性

The Unbiasedness for the Robust Estimation of the Location Parameters

论秩亏自由网平差参数估值的无偏性

On Unbiased Property of Estimated Values of Parameters in Rank Defect Free Net Adjustment

估计量无偏性的证明

The Identification of Proving Unbiased Estimators

2，亏秩平差之解具有方差最小性，也具有无偏性，而不是最小有偏。

The solution of the adjustment with rank-defects has the characteristics of least variance as well as unbiasedness .

在引入广义阵列流形矩阵的基础上，构造了基于范数的代价函数，实现了协方差矩阵的有效拟合，进而可有效估计多个相干信源，同时在理论上分析了该算法的渐进无偏性。

Through using generalized array manifold matrix , a fitting function based on norm matrix for DoA estimation is presented and proved .

受现货市场的制约，小麦期货市场价格发现功能有效性与无偏性存在矛盾。

Restricted by cash market , the conflict exists between the efficiency and the unbiasbility of the wheat futures market price discovery function .

分析了配准点外推估计的无偏性、定位精度的改善和计算的简单性；

The unbiasedness of the extrapolation estimate for the registration point , an improvement on the location accuracy and the simplicity of computation are discussed .

实验结果表明，该算法平均误差率较小，无偏性较好，在数据缺失较为严重的情况下也能完成填补。

Experimental results show that it has a small average error rate and good unbiasedness , it can still complete data under severe missing circumstance .

然后通过抽样理论，建立了正交表抽样和蒙特卡洛抽样之间的联系，从而证明了新估计量的无偏性和渐近收敛性，并得到了估计精度的近似计算式。

Then by sampling theory , we establish a connection between orthogonal array and Monte Carlo sampling , and obtain the unbiasedness and convergence of the new estimator .

其中以基于超定量取样的概率变点分析模型具有较好的无偏性和有效性，最适宜在汛期分期计算中应用。

It 's also shown that change point analysis with the POT sampling method can obtain best effect with the least bias and highest efficiency among these models .

其次，利用阈值分割方法选择对焦窗口以消除背景干扰，使对焦评价函数满足无偏性。

Secondly , the global threshold method is used to select focusing window adaptively , and it can eliminate the background interference and ensure the accuracy of focusing curves .

基于四舍五入数据对矩估计的影响，本文给出了四舍五入数据矩估计具有无偏性、相合性的条件。

Based on this influence from the rounded data , this paper presented that the moment estimations of the rounded data have the sufficient conditions of the unbiasedness and consistency .

统计试验结果表明，修改后的双权函数法无偏性方面优于矩法，有效性与矩法相当；

The Monte Carlo simulation shows that the present method is better than the Method of Moment ( MOM ) in unbiasedness , and is generally comparable to MOM in efficiency .

在给出逆高斯分布参数μ及β的极大似然估计和矩估计的基础上，验证了参数μ的样本均值的无偏性及相合性。

On the base of producing maximum likelihood estimator and estimation by the method of Inverse Gaussian distribution parameters μ and β, I have confirmed the unbiasedness and consistent of parameter μ sample mean .

大量实测钻井液算例表明，所得到的流变参数估计值具有拟合残差近似无偏性和方差几乎最小的优良统计特征，且具有比传统线性回归方法更小的拟合方差及优良的拟合残差统计特性。

A large number of the measured drilling fluid examples show that the rheological parameter estimate has fitting residual approximate unbiasedness and variance of the smallest good statistical characteristics , and smaller fitting variance than the traditional linear regression method and excellent the fitting residual statistical properties .

它们都有无偏性好、单峰性强、灵敏度高等特点，可用于离焦模糊和运动模糊情况的评价，且灰度梯度向量模方和最理想。

All of them have the characteristics of good unbias ( s ) edness , powerful unimodality and high sensitivity , etc. , and can be applied to evaluation of defocusing and motion blurring . The vector norm sum of gray gradient is the best among them .

辅助变量算法是参数估计中的重要算法，通过分析验证了辅助变量法在有系统噪声干扰情况下进行估计的无偏一致性。

Auxiliary variable algorithm is a main method in parameter estimation . Consistency without deviation when using auxiliary variable algorithm to estimate is verified through the analysis under system noise interference condition .

结论PSD的发生无半球偏利性。

Conclusions There was no preferable hemisphere on the occurrence of PSD .

体视学是由形态学与数学交叉形成的一门新兴学科，它通过对目标二维图像信息测量从而定量分析其三维形态特征，是一种快速、可靠、无偏及重复性高的定量分析方法。

Stereology is an interdisciplinary method for 3D morphological study developed from mathematics and morphology . Stereology , which is a fast , reliable , unbiased and high repetitive analysis method , analyzes the objects 3D information through the 2D image measurement .

比较彻底的解决了简单线性EV模型中回归参数的无偏估计的存在性问题，证明了在一些常见的约束下，无偏估计并不存在。

Problem about the existence of the unbiased estimator of regression parameters in the simple linear EV model is thoroughly solved . The non-existent of unbiased estimator under some common restrictions are proved .

最小方差线性无偏估计的存在性

Existence of no error estimation for the least variance

关于无偏估计的存在性讨论

Discussion on existence of non - deviation estimation

本文得到了一般线性模型中最优线性无偏预测的优良性，并研究了最优线性无偏预测和简单投影预测的一种相对效率。

In this paper , the property of the best linear unbiased prediction is obtained under general linear models with arbitrary rank .