Variance component estimation for partial errors-in-variables models

被引：0

作者：

Leyang Wang

Guangyu Xu

机构：

[1] East China University of Technology,Faculty of Geomatics

[2] NASG,Key Laboratory of Watershed Ecology and Geographical Environment Monitoring

[3] Jiangxi Province Key Lab for Digital Land,undefined

来源：

Studia Geophysica et Geodaetica | 2016年 / 60卷

关键词：

partial errors-in-variables model; variance component estimation; straight-line fitting; coordinate transformation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

An iterative algorithm for variance component estimation based on partial errors-invariables (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

页码：35 / 55

页数：20

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