A SCR method for uncertainty estimation in geodesy non-linear error propagation: Comparisons and applications
A SCR method for uncertainty estimation in geodesy non-linear error propagation: Comparisons and applications
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大地测量非线性误差传播不确定性估计的 SCR 方法：比较与应用
DOI：
10.1016/j.geog.2021.11.003
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发表时间：
2022-02
影响因子：
2.4
通讯作者：
Leyang Wang
中科院分区：
文献类型：
--
作者：
Chuanyi Zou;Hao Ding;Leyang Wang
We review three derivative-free methods developed for uncertainty estimation of non-linear error propagation, namely, MC (Monte Carlo), SUT (scaled unscented transformation), and SI (sterling interpolation). In order to avoid preset parameters like as these three methods need, we introduce a new method to uncertainty estimation for the first time, namely, SCR (spherical cubature rule), which is no need for setting parameters. By theoretical derivation, we prove that the precision of uncertainty obtained by SCR can reach second-order. We conduct four synthetic experiments, for the first two experiments, the results obtained by SCR are consistent with the other three methods with optimal setting parameters, but SCR is easier to operate than other three methods, which verifies the superiority of SCR in calculating the uncertainty. For the third experiment, real-time calculation is required, so the MC is hardly feasible. For the forth experiment, the SCR is applied to the inversion of seismic fault parameter which is a common problem in geophysics, and we study the sensitivity of surface displacements to fault parameters with errors. Our results show that the uncertainty of the surface displacements is the magnitude of ±10 mm when the fault length contains a variance of 0.01 km2.
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DOI：
10.1007/bf02519220
发表时间：
1988-06
期刊：
Bulletin géodésique
影响因子：
--
作者：
L. M. A. Jeudy
通讯作者：
L. M. A. Jeudy
影响因子：
6.8
作者：
Ito, K;Xiong, KQ
通讯作者：
Xiong, KQ
DOI：
10.1016/j.physd.2008.12.003
发表时间：
2009-01
期刊：
Physica D: Nonlinear Phenomena
影响因子：
--
作者：
X. Luo;I. Moroz
通讯作者：
X. Luo;I. Moroz
DOI：
10.1111/j.2517-6161.1971.tb00871.x
发表时间：
1971-07
期刊：
Journal of the royal statistical society series b-methodological
影响因子：
--
作者：
M. J. Box
通讯作者：
M. J. Box
影响因子：
2.9
作者：
S. Xue;Yuanxi Yang;Y. Dang
通讯作者：
S. Xue;Yuanxi Yang;Y. Dang