| 加权混合估计中权值的确定方法 |
| |
| 引用本文： | 宋迎春,宋采薇,左廷英.加权混合估计中权值的确定方法[J].测绘学报,2020,49(1):34-41. |
| |
| 作者姓名： | 宋迎春 宋采薇 左廷英 |
| |
| 作者单位： | 1. 中南大学有色金属成矿预测与地质环境监测教育部重点实验室, 湖南 长沙 410083;2. 中南大学地球科学与信息物理学院, 湖南 长沙 410083 |
| |
| 基金项目： | 国家自然科学基金（41574006；41674009；41674012） |
| |
| 摘 要： | 综合了大地测量中各种异方差多源观测模型和联合平差方法,说明了混合估计方法可以用于测量数据融合,平衡附加信息和样本信息对参数估计的影响。通过求取权值使参数估计的协方差阵的迹最小的方法,给出了一个权的最优选择方法。本文扩展了已有的加权混合估计方法,使得新方法中的权不受验前单位权方差的限制,能有效应用于大地测量数据处理。
|
| 关 键 词： | 随机约束 平差模型 加权混合估计 最优线性无偏估计 |
| 收稿时间： | 2018-07-30 |
| 修稿时间： | 2019-08-25 |
A method for determining the weight in weighted mixed estimation |
| |
| SONG Yingchun,SONG Caiwei,ZUO Tingying.A method for determining the weight in weighted mixed estimation[J].Acta Geodaetica et Cartographica Sinica,2020,49(1):34-41. |
| |
| Authors: | SONG Yingchun SONG Caiwei ZUO Tingying |
| |
| Institution: | 1. Key Laboratory of Metallogenic Prediction of Nonferrous Metals and Geological Environment Monitoring, Ministry of Education, Central South University, Changsha 410083, China;2. School of Geosciences and Info-Physics, Central South University, Changsha 410083, China |
| |
| Abstract: | In this paper, multi-source observation models with various heteroscedastic and combined adjustment methods in geodesy are summarized. It shows that the mixed estimation method can be used for measurement data fusion, and can balance the influence of additional information and sample information on parameter estimation. By calculating the weights to minimize the trace of the covariance matrix of parameter estimation, an optimal selection method of weights is given. This paper extends the existing weighted mixing method so that the given method are not limited by the prior unit weight variance, and can be effectively applied to large measurement data processing. |
| |
| Keywords: | stochastic constraint adjustment model weighted mixed estimation optimal linear unbiased estimation |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《测绘学报》浏览原始摘要信息 |
| 点击此处可从《测绘学报》下载免费的PDF全文 |
|
