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方差矩阵

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By correcting noise variance matrix of system state of constant turn model wit h maneuvering frequency coefficient and angular accelerˉ ation variance, the turning model set with different angular was d esigned, the model probability matrix was given. An interactive multiple model algorithms with adaptiveˉturning model w ere built.

通过机动频率系数和角加速度方差修正常速转弯模型的系统状态噪声方差矩阵,设计了不同角速率的转弯模型集,给出了相应模型的状态转移概率,建立了一种自适应转弯模型的交互多模型算法。

Only two papers known to the author discussed the possible relationship between the estimates of Km and Vmax. Colquhoun (196 9) found a strong positive correlation between these estimates in a simulation study. Subsequently, Oliver (1970) examined this relationship by the asymptotic variance-covariance matrices. These simulation and mathematical analyses were based on the assumption that the substrate concentration is error-free, with the error confined to the reaction velocity. In addition, their work was confined to the several estimation methods.

就作者所知,在本研究发表之前仅有两篇文章讨论过估计值之间的相关性。1969年,Colquhoun通过计算机仿真,发现了估计值之间存在正相关关系,1970年,Oliver用渐近方差-协方差矩阵检验了这一点,但是他们的发现有很大的局限性,其一是限于仅反应速度的测量值有误差这一种情况,其二是限于某几种估计方法。

The proposed method first employs covariance matrix tapers to obtain the interference covariance function and its corresponding spatial spectrum in non-ideal scenarios.

该方法首先利用协方差矩阵加权得到非理想情况下的干扰协方差函数和对应的空间谱,然后根据周期延拓后的干扰空间谱估计干扰自由度。

It describes the heteroskedasticity character of interest rate by projecting the sample data onto the EGARCH (1, 1) auxiliary model, makes making the covariance matrix as moment conditions and uses EMM to estimate the parameters. EMM avoids the disadvantage of infeasible or computationally intensive of maximum likelihood functions.

通过将观测数据映射成EGARCH(1, 1)辅助模型描述利率行为的异方差特征,以协方差矩阵为矩条件,用有效矩估计方法得出模型参数,避免了最大似然估计法似然函数不可知或难以求积分的缺陷。

In other words, on the basis of known low space resolution multi-spectral image and high space resolution panchromatic spectral image, it will simulate to create high space resolution multi-spectral image.

针对这一应用目的,本文在对现有的定性定量指标分析的基础上,设计了一组适合本文的评价标准,就是在目视判读的基础上,采用平均梯度和小波能量分析融合影像和原始未降解的多光谱影像的空间分辨率差异,采用标准方差、标准偏差和协方差矩阵行列式值分析融合影像和原始未降解的多光谱影像的信息差别,采用均值、中值和归一化最小方差分析融合影像的光谱信息保持程度。

After studying this phenomenon, the author finds that, the covariance matrix of the complex expressions of horizontal gradients of the disturbing gravity field elements has a structure of blockwise repetitive Toeplitz matrix, though the covariance within the disturbing gravity field elements is still anisotropic. Therefore, the collocation problem of the complex combination of horizontal components is similar to that of gravity anomaly, which makes the degradation be able to be completed by FFT transformation matrix.

作者研究发现,利用水平梯度的复组合,即复数表示后,扰动重力场元复组合之间的协方差函数尽管还是各向异性,但它们对应的协方差矩阵却具有分块 Toeplitz 循环阵的结构,因而水平分量复组合的配置问题与重力异常的配置问题相似,可以利用傅立叶变换矩阵进行降阶处理。

In this paper we assume the expected returns of the risky and risk-free assets as well as the covariance matrix of the risky assets are not exactly known, but defined by some known elements, which form the vertices of this polytope. Robust optimal portfolio problems are proposed in the market with and without risk-free asset. And the analytical solutions are given out when the covariance matrix of the risky assets are exactly known.

本文假设风险资产和无风险资产的收益以及风险资产的协方差矩阵不是完全确定的,其相关参数属于某个已知的凸多面体,分别在市场不存在和存在无风险资产的情况下定义了稳健最优投资组合问题,并在协方差矩阵确定的情况下给出了问题的解析解。

In this paper a new method is proposed in order to suppress the coherent interference. First, utilizing the interpolate method, the real array can be virtually shifted under coherent interference, several covariance matrice are gererated after the virtual shifting. By averaging the previous results, a new covariance matrix is obtained. It is a full rank matrix.

提出一种新的相干波束形成方法,利用内插变换对相干背景下的真实阵列进行虚拟平移,得到多个虚拟平移后的信号协方差矩阵;对其进行平均后,所得到的相干信号协方差矩阵具有满秩性。

First, utilizing the interpolate method, the real array can be virtually shifted under coherent interference, several covariance matrice are gererated after the virtual shifting. By averaging the previous results, a new covariance matrix is obtained. It is a full rank matrix.

软件简介:提出一种新的相干波束形成方法,利用内插变换对相干背景下的真实阵列进行虚拟平移,得到多个虚拟平移后的信号协方差矩阵;对其进行平均后,所得到的相干信号协方差矩阵具有满秩性。

Throughout comparing the above estimating methods, we have the following results: the estimators of the moments of the errors does not depend on the random effects, and that of the random effects does not depend on the errors, and then the corresponding asymptotic variances are very simple and optimal; when the random effects are multivariate, we can not construct different estimating equations for the random effects and errors respectively, which results that the asymptotic covariances of estimation are very complex and then the estimating efficiency is bad.

比较上述两种估计法,我们发现:当随机效应是一维的时侯,误差的各阶矩的估计不依赖不可观测的随机效应,随机效应的估计也不依赖误差,因此,估计的渐近方差结构特别简单也是最优的;而当随机效应是多维的,因为随机效应的协变量的影响,我们没有办法针对随机效应和误差的各阶矩分别建立估计方程,这导致所得的估计的渐近方差或者协方差矩阵特别复杂,从而估计的效果不是很好。

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