大地测量与地球动力学2017，Vol.37Issue(11)：1193-1197,5.DOI:10.14075/j.jgg.2017.11.019
稳健总体最小二乘Helmert方差分量估计
Helmert Variance Component Estimation for Robust Total Least Squares
摘要
Abstract
As for total least squares,it is also common to process different precise of data or different types of data.The weights determined by prior variance are not accurate.And at the same time the condition that there are gross errors in observation data is taken into consideration.For these two problem,the variance component estimation for robust total least squares is proposed.The robust estimation and the Helmert variance component estimation are applied into total least squares.At last,two experiment are carried out to testify.The result of calculation demonstrate that the method proposed in the paper is feasible and effective.关键词
总体最小二乘/方差分量估计/粗差/等价权Key words
total least squares/variance component estimation/gross error/equivalent weights分类
天文与地球科学引用本文复制引用
陶武勇,鲁铁定,许光煜,杨世安..稳健总体最小二乘Helmert方差分量估计[J].大地测量与地球动力学,2017,37(11):1193-1197,5.基金项目
National Natural Science Foundation of China,No.41204003,41374007,41464001 （）
Public Benefit Research Foundation of NASMG,No.201512026 （）
Science and Technology Project of the Education Department of Jiangxi Province,No.KJLD12077,GJJ13457 （）
China Postdoctoral Science Foundation,No.2012M511962 （）
Visiting Scholar Project of Faculty Development of Jiangxi Province,No.2012132 （）
Voyage Project of Jiangxi Province,No.2013.国家自然科学基金(41204003,41374007,41464001) （41204003,41374007,41464001）
测绘地理信息公益性行业科技专项(201512026) （201512026）
江西省教育厅科技项目(KJLD12077,GJJ13457) （KJLD12077,GJJ13457）
中国博士后基金(2012M511962) （2012M511962）
江西省中青年教师发展计划访问学者专项(2012132) （2012132）
江西省远航工程计划(2013). （2013）
