Closure to “New First-Order Approximate Precision Estimation Method for Parameters in an Errors-in-Variables Model” by Jie Han, Songlin Zhang, and Jingchang Li
This article is a reply.
VIEW THE ORIGINAL ARTICLEPublication: Journal of Surveying Engineering
Volume 148, Issue 2
Get full access to this article
View all available purchase options and get full access to this article.
References
Amiri-Simkooei, A. R., and S. Jazaeri. 2012. “Weighted total least squares formulated by standard least squares theory.” J. Geodetic Sci. 2 (2): 113–124. https://doi.org/10.2478/v10156-011-0036-5.
Amiri-Simkooei, A. R., F. Zangeneh-Nejad, and J. Asgari. 2016. “On the covariance matrix of weighted total least-squares estimates.” J. Surv. Eng. 142 (3):04015014. https://doi.org/10.1061/(ASCE)SU.1943-5428.0000153.
Fang, X. 2011. “Weighted total least squares solution for applications in geodesy.” Ph.D. dissertation, Dept. of Geodesy and Geoinformatics, Leibniz Univ. Hanover.
Han, J., S. Zhang, Y. Li, and X. Zhang. 2018. “A general partial errors-in-variables model and a corresponding weighted total least-squares algorithm.” Surv. Rev. 2018 (Oct): 1–8. https://doi.org/10.1080/00396265.2018.1530332.
Jazaeri, S., A. R. Amiri-Simkooei, and M. A. Sharifi. 2014. “Iterative algorithm for weighted total least squares adjustment.” Surv. Rev. 46 (334): 19–27. https://doi.org/10.1179/1752270613Y.0000000052.
Jin, Y., X. Tong, L. Li, S. Zhang, and S. Liu. 2018. “Partial total-least-squares adjustment of condition equations with application to a rectangular building adjustment in a GIS.” J. Surv. Eng. 144 (1): 04017021. https://doi.org/10.1061/(ASCE)SU.1943-5428.0000246.
Mahboub, V. 2012. “On weighted total least-squares for geodetic transformations.” J. Geodesy 86 (5): 359–367. https://doi.org/10.1007/s00190-011-0524-5.
Schaffrin, B., and K. Snow. 2020. “Progress towards a rigorous error propagation for total least-squares estimates.” J. Appl. Geodesy 14 (2): 159–166. https://doi.org/10.1515/jag-2019-0062.
Schaffrin, B., K. Snow, and F. Neitzel. 2014. “On the errors-in-variables model with singular dispersion matrices.” J. Geodetic Sci. 4 (1): 28–36. https://doi.org/10.2478/jogs-2014-0004.
Schaffrin, B., and A. Wieser. 2008. “On weighted total least squares adjustment for linear regression.” J. Geod. 82 (7): 415–421. https://doi.org/10.1007/s00190-007-0190-9.
Shen, Y., B. Li, and Y. Chen. 2011. “An iterative solution of weighted total least-squares adjustment.” J. Geod. 85 (4): 229–238. https://doi.org/10.1007/s00190-010-0431-1.
Tong, X., Y. Jin, S. Zhang, L. Li, and S. Liu. 2015. “Bias-corrected weighted total least-squares adjustment of condition equations.” J. Surv. Eng. 141 (2): 04014013. https://doi.org/10.1061/(ASCE)SU.1943-5428.0000140.
Wang, L., and Y. Zhao. 2019. “Second-order approximation function method for precision estimation of total least squares.” J. Surv. Eng. 145 (1): 04018011. https://doi.org/10.1061/(ASCE)SU.1943-5428.0000266.
Xu, P., J. Liu, and C. Shi. 2012. “Total least squares adjustment in partial errors-in-variables models: algorithm and statistical analysis.” J. Geod. 86 (8): 661–675. https://doi.org/10.1007/s00190-012-0552-9.
Xu, P., J. Liu, W. Zeng, and Y. Shen. 2014. “Effects of errors-in-variables on weighted least squares estimation.” J. Geod. 88 (7): 705–716. https://doi.org/10.1007/s00190-014-0716-x.
Zhang, S., K. Zhang, J. Han, and X. Tong. 2017. “Total least norm solution for linear structured EIV model.” Appl. Math. Comput. 304 (Apr): 58–64. https://doi.org/10.1016/j.amc.2017.01.006.
Information & Authors
Information
Published In
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Jul 13, 2021
Accepted: Sep 2, 2021
Published online: Dec 16, 2021
Published in print: May 1, 2022
Discussion open until: May 16, 2022
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.