Jackknife method for the location of gross errors in weighted total least squares
Jackknife method for the location of gross errors in weighted total least squares
复制标题
用于定位加权总最小二乘中粗差位置的刀刀法
DOI：
10.1080/03610918.2019.1691225
复制
发表时间：
2019-11
期刊：
影响因子：
--
通讯作者：
Fengbin Yu
中科院分区：
文献类型：
--
作者：
Leyang Wang;Zhiqiang Li;Fengbin Yu
Abstract Because the weighted total least squares (WTLS) method lacks robustness and is sensitive to gross errors, it cannot eliminate the influence of outliers effectively. A small number of gross errors may produce a devastating effect on estimates. Focusing on the limitation of the WTLS method regarding the influence of gross errors, this work combines Jackknife resampling theory with the WTLS algorithm for the identification and detection of outliers. The gross errors located in the WTLS method by the Jackknife method are identified to further improve the qualities of the estimated values if the observation data are falsified by outliers. This paper focuses on the following two aspects: only one gross error and multiple gross errors. Detailed calculation steps and the whole procedure for outlier detection using the new method are given. This algorithm is applied to the straight-line fitting model and the plane coordinate transformation model. From the experimental estimation results, we can see that the method proposed in this paper can identify gross errors that are greater than or equal to three times the standard error, and obtain more accurate estimation values when compared with the WTLS method and the classic robust weighted total least squares (RWTLS) method. The numerical case studies verify the effectiveness and practicality of the proposed procedure.
登录
查看更多内容
影响因子：
4.4
作者：
Peiliang Xu
通讯作者：
Peiliang Xu
DOI：
10.5555/2627435.2638587
发表时间：
2013-11
期刊：
Journal of machine learning research : JMLR
影响因子：
--
作者：
Stefan Wager;T. Hastie;B. Efron
通讯作者：
Stefan Wager;T. Hastie;B. Efron
影响因子：
1.3
作者：
Amiri-Simkooei, A.;Jazaeri, S.
通讯作者：
Jazaeri, S.
DOI：
10.1109/9.362900
发表时间：
1995
期刊：
IEEE Trans. Autom. Control.
影响因子：
--
作者：
B. Roorda;C. Heij
通讯作者：
B. Roorda;C. Heij
DOI：
--
发表时间：
1968
期刊：
--
影响因子：
--
作者：
W. Baarda
通讯作者：
W. Baarda