RigorousVariance Component Estimation in Weekly Intra-Technique and Inter-Technique Combination for Global Terrestrial Reference Frames
RigorousVariance Component Estimation in Weekly Intra-Technique and Inter-Technique Combination for Global Terrestrial Reference Frames
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全球陆地参考系每周技术内和技术间组合的严格方差分量估计
DOI：
10.1007/978-3-642-00860-3_6
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
Keim R.
中科院分区：
文献类型：
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作者：
Keim R.
严格方差分量估计（VCE）是在线性高斯-马尔可夫模型（GMM）中估计协方差矩阵方差分量的一种非线性方法。VCE结果强烈依赖于给定GMM的协方差矩阵的结构。这里VCE被应用于与SLR输入解的技术内组合和与DORIS、GPS、SLR和VLBI输入解的技术间组合的L-near模型，两者的观测范围都是一周-除了VLBI的会话范围为24小时。要估计的参数是每周3D站坐标和每日地球定向参数。这里使用的数据集来自ILRS和ITRF 2005的官方输入解决方案。在介绍了这种特殊组合模型的VCE公式后，分析了技术内组合和技术间组合之间的特点。VCE概述。对于SLR内技术，它是通过示例显示VCE结果如何不仅用于输入解决方案的加权，而且用于自动处理中的离群值和失败/通过标准的制定。在跨技术组合的VCE处理是更复杂的，因为存在两个额外的问题：不同的参数集大小的处理（例如GPS集比VLBI集大得多）和本地领带集的随机行为。这里的问题是VCE是否也适用于技术间情况下的加权和离群值分析。首先，模拟结果证明了VCE的确定性和随机变化的敏感性，因此VCE的自动加权和离群搜索的适用性。
The rigorous variance component estimation (VCE) is a nonlinear procedure for estimating variance components of covariance matrices within a linear Gauss-Markov Model (GMM). The VCE results are strongly dependent on the structure of the covariance matrices for a given GMM. Here VCE is applied to the li-near model of intra-technique combination with SLR input solutions and of the inter technique combination with DORIS, GPS, SLR, and VLBI input solutions, both with an observation range of one week -except VLBI with a session range of 24 hours. The parameters to be estimated are weekly 3D station coordinates and daily earth orientation parameters. The data sets used here are taken from the official input solutions of ILRS and ITRF2005. After having introduced the VCE formulae for this special combination model the characteristics between intra-and inter-technique combination w.r.t. VCE are outlined. For the SLR intra-technique it is shown by examples how VCE results are used not only for the weighting of the input solutions, but also for the formulation of outlier and fail/pass criteria within automatic processing. In the inter-technique combination the VCE processing is more complicated, because two additional problems exist: the handling of different parameter set sizes (e.g GPS sets are much larger than VLBI sets) and of the stochastic behaviour of local tie sets. The question here is whether VCE is also suitable for weighting and outlier analysis in the inter–technique case. First simulation results are presented here which prove the sensitivity of VCE to deterministic and stochastic variations and hence the suitability of VCE for automatic weighting and outlier search.
ITRF 和主机代管站点
DOI：
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发表时间：
2005
期刊：
影响因子：
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作者：
Z. Altamimi
通讯作者：
Z. Altamimi
关于方差协方差分量无偏非负估计的存在性
DOI：
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发表时间：
1981
期刊：
影响因子：
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作者：
F. Pukelsheim
通讯作者：
F. Pukelsheim