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一种两步抗差估计的设计及其解算
引用本文:张冬林,朱涛,戚万权,杨飞飞.一种两步抗差估计的设计及其解算[J].海洋测绘,2008,28(6):21-24.
作者姓名:张冬林  朱涛  戚万权  杨飞飞
作者单位:1. 91774部队,上海,200083;海军工程大学,导航工程系,湖北,武汉,430033
2. 海军工程大学,导航工程系,湖北,武汉,430033
3. 徕卡测量系统,上海,有限公司,上海,201203
4. 上海市测绘院,上海,200063
摘    要:抗差估计的关键是选择适当的权函数和合理的调制因子,针对这两个重要问题,在研究当前调制因子取值方法的基础之上,提出了可动性调制因子这一新概念,并基于可动性调制因子、IGG方案权函数,设计了两步抗差估计。两步抗差估计解决了抗差估计中传统的调制因子、方差因子、初值三者取值时存在的一系列问题,尤其当三者取值不能协调配制时出现的秩亏问题,从而使抗差估计方法更具有实际意义和广泛意义。

关 键 词:抗差估计  两步抗差估计  粗差  可动性调制因子

Design of A New Scheme of Robust Estimation by Two-step and Its Calculation
ZHANG Dong-lin,ZHU Tao,QI Wan-quan,YANG Fei-fei.Design of A New Scheme of Robust Estimation by Two-step and Its Calculation[J].Hydrographic Surveying and Charting,2008,28(6):21-24.
Authors:ZHANG Dong-lin  ZHU Tao  QI Wan-quan  YANG Fei-fei
Institution:ZHANG Dong-lin, ZHU Tao, QI Wan-quan, YANG Fei-fei (1.91774 Troops, Shanghai ,200083; 2. Department of Navigation,Naval University of Engineering,Wuhan,Hubei ,430033; 3. Leica Geosystems (Shanghai) Co. , Ltd, Shanghai, 200092 ;4. Shanghai' s Institute of Surveying, Shanghai, 200063 )
Abstract:The key of the robust estimation are weight function and modulation factor,based on the two problems and the current methods about the chosen values of modulation facto,the concept of transformable modulation factor was put forward.This paper designed two step robust estimation using the transformable modulation factor and weight function of IGG.It can resolve some problems that the classical roust estimations have,especially can resolve the problems when the chosen values of variance factor and initial value are not reasonable the classical robust estimations have,so that the robust estimations have actual meaning.
Keywords:robust estimation  two-step robust estimation  gross error  transformable modulation factor
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