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引用本文:陈玮娴,袁庆.??????????С???????[J].大地测量与地球动力学,2012,32(6):111-113.
作者姓名:陈玮娴  袁庆
作者单位:1. 武汉市城乡建设委员会,武汉,430023
2. 中铁第四勘察设计集团有限公司,武汉,430063
基金项目:国家自然科学基金(41074017)
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A ROBUST TOTAL LEAST-SQUARES METHOD
Chen Weixian,and Yuan Qing.A ROBUST TOTAL LEAST-SQUARES METHOD[J].Journal of Geodesy and Geodynamics,2012,32(6):111-113.
Authors:Chen Weixian  and Yuan Qing
Institution:1)Wuhan Urban & Rural Construction Committee,Wuhan 4300232)China Railway Siyuan Survey and Design Group Co.,Ltd,Wuhan 430063
Abstract:Aiming at the situation that there is single gross error in the observation vector of the Errors in variables(EIV) model, we propose the robust total least squares method. On the basis of the generalized maximum likelihood estimation, we use the observation vector residual function which grows more slowly instead of observation vector squared residuals items, and have deduced robust total least squares estimation calculation formula with the iteration method with variable weights. Finally, we apply the new method to the coordinate transformation parameters determination, and verify the feasibilities of the new method.
Keywords:Errors-in-variables(EIV) model  robust estimation  total least-squares method  robust total least-squares method  coordinate transformation
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