共查询到20条相似文献，搜索用时 31 毫秒
1.
导线网方差分量估计的综合研究 总被引：2，自引：0，他引：2
王仲锋 《武汉大学学报(信息科学版)》2001,26(2):112-117
提出方差分量估计的多余观测分量平均匹配方式；总结出导线网方差分量估计定权的基本规律，并给出其权增量循环算法和特征根法以及将两个实对称矩阵同时对角化的实用方法。 相似文献
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非线性模型中方差和协方差分量的估计 总被引：5，自引：1，他引：4
采用差分代替微分的方法,并将非线性模型的似然函数分解为函数模型生成的似然函数和正交补似然函数(也是边缘似然函数)的乘积,由正交补似然函数得到非线性模型中严格的和简化的方差和协方差分量估计的迭代公式.很多学者提出的线性模型中方差和协方差分量估计的迭代公式都是本文的特殊情况. 相似文献
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Variance Component Estimation in Linear Inverse Ill-posed Models 总被引：2，自引：4，他引：2
Regularization has been applied by implicitly assuming that the weight matrix of measurements is known. If measurements are assumed to be heteroscedastic with different unknown variance components, all regularization techniques may not be proper to apply, unless techniques of variance component estimation are directly implemented. Although variance component estimation techniques have been proposed to simultaneously estimate the variance components and provide a means of regularization, the regularization parameter is treated as if it were also an extra variance component. In this paper, we assume no prior information on the model parameters and do not treat the regularization parameter as an extra variance component. Instead, we first analyze the biases of estimated variance components due to the regularization parameter and then propose bias-corrected variance component estimators. The results have shown that they work very well. Finally, we propose and investigate through simulations an iterative scheme to simultaneously estimate the variance components and the regularization parameter, in order to eliminate the effect of regularization parameter on variance components and the effect of incorrect prior weights or initial variance components on the regularization parameter. 相似文献
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方差分量估计理论及其在边角网平差中的应用 总被引：1，自引：0，他引：1
张万鹏 《武汉大学学报(信息科学版)》1988,(1)
本文从理论上阐明了MINQE(I,U)(最小范数二次不变无偏估计)方差分量估计出现负方差的原因;论述了存在MINQE(U,NND)估计量的充要条件;对边角网平羞问题而言,MINQE(I,U)估计法不可能同时准确地求出边长误差模型中的m_a~2和m_b~2。文章从边角网误差模型的特点出发,提出了一种新的方差分量估计模型(改进的方差分量估计模型),该模型能合理地确定方向和边长的方差分量,从而较好地解决了边角网平差中的定权问题。 相似文献
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一种简化的Helmert方差分量估计算法 总被引：2，自引：0，他引：2
Ｈｅｌｍｅｒｔ方法是通过求出两类观测值的单位方差,来修正其先验权,用迭代法最终求得正确的权。本文提出,如果已知两类观测值的单位方差之比,即可定出正确的权,从而使计算简单化。 相似文献
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Summary The combination of terrestrial and satellite aided network observations requires hybrid models of two kinds: a hybrid functional
model and a stochastic model being able to process the heterogeneous observations approapriately. An appropriate combination
of stochastic information means to adjoin proper weights to the various types of observations on one hand and on the other
hand to separate the relelevant internal accuracy from that accuracy which is affected by a number of network external influences.
The first task can be overcome by the technique of estimating variance components of the individual observation groups, the
second one can be handled by applying S-transformations to covariance matrices. The paper deals with problems of the hybrid
stochastic model. Examples are given. 相似文献
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G. Fotopoulos 《Journal of Geodesy》2005,79(1-3):111-123
The well-known statistical tool of variance component estimation (VCE) is implemented in the combined least-squares (LS) adjustment of heterogeneous height data (ellipsoidal, orthometric and geoid), for the purpose of calibrating geoid error models. This general treatment of the stochastic model offers the flexibility of estimating more than one variance and/or covariance component to improve the covariance information. Specifically, the iterative minimum norm quadratic unbiased estimation (I-MINQUE) and the iterative almost unbiased estimation (I-AUE) schemes are implemented in case studies with observed height data from Switzerland and parts of Canada. The effect of correlation among measurements of the same height type and the role of the systematic effects and datum inconsistencies in the combined adjustment of ellipsoidal, geoid and orthometric heights on the estimated variance components are investigated in detail. Results give valuable insight into the usefulness of the VCE approach for calibrating geoid error models and the challenges encountered when implementing such a scheme in practice. In all cases, the estimated variance component corresponding to the geoid height data was less than or equal to 1, indicating an overall downscaling of the initial covariance (CV) matrix was necessary. It was also shown that overly optimistic CV matrices are obtained when diagonal-only cofactor matrices are implemented in the stochastic model for the observations. Finally, the divergence of the VCE solution and/or the computation of negative variance components provide insight into the selected parametric model effectiveness. 相似文献
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An alternative expression for the variance factors in using Iterated Almost Unbiased Estimation 总被引：1，自引：1，他引：0
R. Hsu 《Journal of Geodesy》1999,73(4):173-179
An alternative expression has been derived for the variance factors when estimating weights according to the Iterated Almost
Unbiased Estimation (IAUE) technique. A variance factor can be approximately estimated by finding the ratio of the group redundancy
numbers at any two successive iterations. The numerical example of the first-order leveling network of Taiwan indicates: that
stabilization of the redundancy number of an observation occurs as the variance factor associated with it converges to unity;
that variance factors tend to approach unity for individual groups with large redundancy; and that for those variance factors
which fail to converge to unity, the redundancy numbers decrease monotonically as the iteration proceeds.
Received: 16 April 1996 / Accepted: 9 June 1998 相似文献
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随着房地产市场的发展,房地产估价的研究逐渐深入。如何更好地、科学地、快速地对大量房地产价格进行评估已成为现实的问题。一般的平差模型对已有数据的利用率不高,当存在多类观测值时,不同观测值的随机模型的确定是否合理会严重影响结果的精度。基于房地产整体估价的思想,提出了方差分量估计建立价格体系的新方法。通过对两类观测值进行试验,一类通过比价系数求得价格差建立观测方程;一类由价格直接建立观测方程。结果分析表明,新方法能够实现不同观测值的权值自动调整,精度更高,可靠性更强。 相似文献
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在多源数据联合反演同震滑动分布过程中,各类观测数据之间相对权比的确定是当今大地测量与地球物理联合反演领域的研究热点和难点。近年来,赫尔默特方差分量估计法因其可以同时估计虚拟观测数据及实际观测数据之间的比例因子的优势,在联合反演滑动分布领域中得到了广泛应用。然而,利用HVCE法确定多源数据联合反演相对权比过程中易出现负方差现象。针对以上问题,本文提出在HVCE法确定联合反演相对权比过程中添加线性不等式约束,利用带有线性不等式约束的平差模型进行求解（LC-HVCE）,解决计算过程中出现负方差问题。为了验证LC-HVCE法的有效性,开展模拟地震试验,结果表明LC-HVCE法可以有效地解决HVCE法在确定联合反演相对权比过程中存在的不足,保证了同震滑动分布反演精度。蒙特卡洛模拟试验及拉奎拉实际地震反演结果进一步表明了LC-HVCE法在确定正则化参数与相对权比过程中较HVCE法的适用性与稳定性。 相似文献
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GIS中地籍宗地面积的方差分量估计 总被引：2，自引：0，他引：2
探讨在地籍宗地数字化的面积处理问题中,把已知面积数据和数字化坐标同时作为观测值的面积处理方法.采用方差分量估计,解决已知面积数据参与平差时的权的确定.通过实例分析,认为采用条件平差方差分量估计方法来对宗地面积处理,能够更加合理地调整已有面积与由数字化坐标得到的面积值之间的差异. 相似文献
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The variance component estimation (VCE) method as developed by Helmert has been applied to the global SLR data set for the year 1987. In the first part of this study the observations have been divided into two groups: those from ruby and YAG laser systems, and their weights estimated over several months. It was found that the weights of both sets of stations altered slightly from month to month, but that, not surprisingly, the YAG systems consistently outperformed those based on ruby lasers. The major part of this paper then considers the estimation of the variance components (i.e. weights) at each SLR station from month to month. These were tested using the F-statistic and, although it indicated that most stations had significant temporal variations, they were generally small compared with the differences between the stations themselves, i.e. the method has been shown to be capable of discriminating between the precision with which the various laser stations are operating. The station coordinates and baseline lengths computed using both a priori, and estimated, weights where also compared and this showed that changes in the weights can have significant effects on the estimation of the station positions, particularly in the z component, and on the baseline lengths - so proving the importance of proper stochastic modelling when processing SLR data. 相似文献
14.
无缝仿射基准转换模型的方差分量估计 总被引：1，自引：1，他引：0
以无缝仿射基准变换为例,研究了无缝基准转换模型的方差分量估计理论,导出无缝基准变换过程中两套坐标的方差分量估计公式。通过模拟试验分析表明,采用方差分量估计方法能正确地恢复出客观体现两套坐标误差的方差值,从而有效提高无缝基准转换精度。 相似文献
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著名的Helmert方差分量估计公式是基于间接观测平差模型导出的。基于条件观测平差模型导出了方差分量估计公式并给出了实际应用范例,且对两种模型的方差分量估计公式的等价性进行了理论证明。算例表明,文中的估计公式能正确地估计出各类观测值的方差因子。 相似文献
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Partial EIV模型的非负最小二乘方差分量估计 总被引：2，自引：2，他引：0
Partial Errors-in-Variables(Partial EIV)模型是EIV模型的扩展形式,权阵构造简单,当系数矩阵中存在非随机元素和随机元素时,Partial EIV模型的适用性更强。针对Partial EIV模型中随机模型不准确的情况,将系数矩阵和观测向量分别作为一类数据,本文在该模型的基础上,使用最小二乘方差分量估计方法,推导相关计算公式及迭代算法,分别估计出相应的方差分量估值。并对出现的负方差使用非负最小二乘理论,增加约束条件,对随机模型进行修正,得到更加合理的参数估值。试实验结果表明,本文的方法与其他方差分量估计方法等价。 相似文献
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