| 非线性混合边值问题及其抗差解 |
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| 引用本文： | 杨元喜.非线性混合边值问题及其抗差解[J].测绘学院学报,1994(4). |
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| 作者姓名： | 杨元喜 |
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| 摘 要： | 本文从函数模型和随机模型两方面入手综合讨论大地测量混合边值问题及其解。函数模型方面，首先对混合边值问题进行了一般描述；继而分别建立了垂直边值和水平边值问题的二阶近似模型；随机模型方面，考虑到重力场的随机模型与随机观测量及其重力场本身的随机性有关，任何假设的理想模型都可能偏离实际模型。故文章中介绍了能抵制随机模型偏差影响的抗差估计原理。如果将重力场看成随机场，则建议采用抗差拟合推估解。
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| 关 键 词： | 混合边值问题，非线性，函数模型，随机模型，抗差估计 |
Robust Estimation for Nonlinear Combined Gravimetry Boundary Value Problem |
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| Yang Yuanxi.Robust Estimation for Nonlinear Combined Gravimetry Boundary Value Problem[J].Journal of Institute of Surveying and Mapping,1994(4). |
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| Authors: | Yang Yuanxi |
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| Institution: | Yang Yuanxi |
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| Abstract: | A combined geodetic value problem and its solution are discussed from both of functional and stochastic models. In functional model, the combined value problem is generally described at first. And then the second approximation models for vertical and horizontal type value problems are established. In stochastic model, considering the stochastic model of gravity field is relevant to both of random observation errors and the randomness of gravity field itself, any assumption of idealized model may have a bias from actual model, we introduce a robust estimator for controlling the biasedness of stochastic model. If the gravty field is treated as a random field, then we suggest to use robust collocation,for the appoximation of combined gravimetry boundary value problem. |
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| Keywords: | Combined gravimetry boundary value problem Nonlinear Functional model Stochastic model Robustestimation |
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