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Least absolute deviation estimator of parameter in regression analysis for contamination data[J].

污染数据回归分析中参量的最小一乘估计[J]。

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。

In this project, we have tackled the robust fault detection and diagnosis problem for affine nonlinear sampled-data systems based on nonlinear H∞ filtering theory,and focused on the design of robust fault dtetction filter. The main contribution of this project is that we (1)present design methods of robust fault estimator for nonlinear discrete-time systems based on least square estimation and linear matrix inequality;(2)improve the bounded real lemma of systems with finite discrete jumps;(3)develop the robust fault detection filters for affine nonlinear sampled-data systems with parameter uncertainties based on the improved bounded real lemma.

本项目以提高故障的正确检测率为目的,以非线性H∞滤波理论为基础,对不确定仿射非线性采样系统的鲁棒故障检测与诊断问题进行了研究,重点研究了不确定仿射非线性采样系统的鲁棒故障检测滤波器设计问题,取得了一些新的成果,主要成果有:(1)基于最小二乘估计和线性矩阵不等式,给出了非线性离散系统的鲁棒故障估计器设计方法;(2)改进了有限跳跃点系统的有界实引理;(3)基于改进的有界实引理,给出了不确定仿射非线性采样系统的鲁棒故障检测滤波器的设计方法。

In addition, the least squares estimator of unknown parameter is constructed, and its asymptotic behavior is proved.

另外也构造了未知参数的最小二乘估计量,并证明了它的渐近性质。

This dissertation is concerned with some problems regarding the asymptotic property of nearest-neighbor density estimator for α—mixing and nagetive quadrant dependent samples. The results extend the corresponding theorems in i.i.d.

本文主要考虑了最近邻密度估计在α—混合序列和两两NQD混合序列情形下的大样本性质,推广了独立同分布和其它相依情形下最近邻密度估计的大样本性质,如相合性、渐近正态性等。

Then, followed the analysis of the asympototic properties of maximum likelihood estimation for the seasonal ARFIMA models, the consistency, efficiency and asymptotic normality of the Bayesian estimator are proved.

参照季节性ARFIMA模型的极大似然估计的渐近性质的证明思路,证明了模型参数的贝叶斯估计具有相合性、有效性和渐近正态性。

The estimator x/mn is more manageable and precise than the traditional unbiased estimator.

与传统的无偏估计相比,用混合样本阳性数在样本总量中的比例作为感染率估计值具有计算简单、精度较高的优点。

Under CLM, OLS is not only BLUE, but also the minimum variance unbiased estimator, that is, among linear and nonlinear estimators, OLS estimator gives the smallest variance.

在经典线性模型假设下,OLS不仅是BLUE,而且是最小方差无偏估计量,即在所有线性和非线性的估计量中,OLS估计量具有最小的方差。

Unlike unbiasedness―which is a feature of an estimator for a given sample size―consistency involves the behavior of the sampling distribution of the estimator as the sample size n gets large.

无偏性是,给定样本容量n下,估计量的性质;一致性则是,当样本容量n变大时,估计量的样本分布的变化特征。

Two methods( moment estimator ,bootstrap estimator) are presented for estimating the number of rare species by the sampling of quadrats.

利用矩估计和一个稳健估计方法来处理植物学家在林地的地面植被群落调查数据。

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