Variance component estimation for partial errors-in-variables models

被引：33
作者：
Wang, Leyang [1 ,2 ,3 ]
Xu, Guangyu [1 ,2 ,3 ]
机构：
[1] East China Univ Technol, Fac Geomat, Nanchang 330013, Peoples R China
[2] NASG, Key Lab Watershed Ecol & Geog Environm Monitoring, Nanchang 330013, Peoples R China
[3] Jiangxi Prov Key Lab Digital Land, Nanchang 330013, Peoples R China
来源：
STUDIA GEOPHYSICA ET GEODAETICA | 2016年 / 60卷 / 01期
基金：
中国国家自然科学基金;
关键词：
partial errors-in-variables model; variance component estimation; straight-line fitting; coordinate transformation; TOTAL LEAST-SQUARES; ALGORITHM;
D O I：
10.1007/s11200-014-0975-2
中图分类号：
P3 [地球物理学]; P59 [地球化学];
学科分类号：
0708 ; 070902 ;
摘要：
An iterative algorithm for variance component estimation based on partial errors-in-variables (PEIV) model is proposed. Correction of observation vector and random elements of the coefficient matrix is taken as one kind of posterior information. Variance components in the observation vector and the random elements of the coefficient matrix are estimated according to Helmert estimation method. During the estimating process, the correction factors are used to modify the initial weight matrix, so as to make it more accurate. At the same time, a method for determining correction factors is given. Through examples of linear fitting and numerical simulation experiment of coordinate transformation, the practical effect of this algorithm is verified.
引用
收藏
页码：35 / 55
页数：21
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