无偏估计

To the problem of unbiasedness of L 1 estimation,basing on uniqueness of solution,Zhou Shijiang proved it according to dual theorem of linear programming; and Wang Zhizhong proved it according to probability statistics theorem by using the method from special to general; also,basing on error distribution theorem and probability statistics theorem,the authors proved it.

对于L1 估计的无偏性问题，周世健基于解法的惟一性，根据线性规划的对偶理论，证明了L1 估计的无偏性[5] ；王志忠根据数理统计理论，采用由特殊情形推广到一般情形的方法，证明了L1 估计的无偏性[6] 。

Also, it is deduced from the conclusions of maximum likelihood estimator that the performance of estimators is independent on source number if the number of snapshots used in estimator is large enough.

证明了它们在低信噪比情况下仍具有渐近无偏的估计性能；另外，利用最大似然估计器的相关结论，证明了在快拍数足够大的情况下，估计器的估计性能与信源数目的多少无关。

Lagrange multiplication operator was used to analyze the parameter estimation equation for obtaining the optimized estimation of parameters. Computer simulation result showed that this method is better than traditional least squares estimation.

计算机仿真的结果表明，该优于传统的最小二乘估计法，获得的估计参数是渐进无偏的，获得的估计参数的辨识精度更高，该参数约束估计法在系统辨识和参数估计领域具有极其重要的实际应用价值。

In addition, this approach was used in the estimation of the composition of the product P with a single time delay system in the oil refinery process. In comparison to the filtering approach without delay information, the estimation error of the proposed method is smaller.

应用本文所提方法对由石油精炼过程构成的单时滞系统中的产品 P 含量进行了估计，并与时滞无关的无偏H∞滤波器相比，时滞有关的无偏H∞滤波器的估计精度高，说明了本文方法的可行性。

When the estimator is unbiased, the numerical estimate is frequently also called unbiased.

当估计量无偏时，数字估计值也常叫做无偏的。

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。

UPGMA cluster analysis based on Nei's unbiased measures of genetic identity was assayed for five geographical groups of Elymus nutans, indicating that there was a significantly positive correlation between genetic differentiation and geographical habits among the five groups.

对各地理类群基于Nei氏无偏估计的遗传一致度的聚类分析表明，各地理类群间的遗传分化与其所处的地理生态环境具有较高的相关性。

The one tap equalizations such as MRC, EGC, ZF and Controlled equalization are investigated firstly, then the adaptive MMSE equalization and a hybrid blind equalization algorithm adapted to MPSK are applied in MC-CDMA, the cost function ensure the received signal is the unbias estimation of transmitted signal.

我们讨论了自适应MMSE均衡的实现，并提出了一种适用于MPSK的混合盲均衡算法，这种盲均衡的代价函数保证接收信号是发送信号的无偏估计，因此其性能较好。

Regional anomaly datum in a point is estimated according to the data in some information points around some point.

根据某点周围若干个信息点上的重观测数据估计出该点处的区域异常值，而且这种估计是在满足线性、无偏、最小估计方差条件下求得的。

According to the principle of best linear unbiased estimation ,A target localization algorithm for bistatic radar was proposed by pseudo measuring value after coordinate conversion.

利用坐标转换后的伪测量值，根据最佳线性无偏估计原理，提出一种双基地雷达目标的定位方法并给出了算法定位误差的Cramer-Rao理论下限表达式，在不同噪声条件下对算法进行仿真计算，结果表明该方法可以显著提高双基地雷达目标的定位精度，其理论下限和仿真结果都明显优于最小二乘方法。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。