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论真误差拟准解的基本特性
引用本文:欧吉坤.论真误差拟准解的基本特性[J].测绘学报,1999,28(2):143-147.
作者姓名:欧吉坤
作者单位:中国科学院测量与地球物理研究所动力大地测量学开放研究实验室,武汉,430077
基金项目:国家自然科学基金,中国科学院资源与生态环境研究项目,国家攀登计划,中国科学院重点实验室基金 
摘    要:本文将回答这样一个问题:为什么拟准检定法能准确地定位粗差并估计出粗差大小?首先从理论上论证真误差的估值的重要特性:真误差拟准解的大小完全由它对应的观测值中的粗差决定,因此它能直接反映粗差的位置和大小。本文还用算例验证了这一结论。

关 键 词:真误差  残差  粗差  杠杆观测  拟准检定法

On the property of the estimators of real errors determined by the method of the quasi-accurate detection of gross errors
Ou Jikun.On the property of the estimators of real errors determined by the method of the quasi-accurate detection of gross errors[J].Acta Geodaetica et Cartographica Sinica,1999,28(2):143-147.
Authors:Ou Jikun
Abstract:This paper will answer such a question: why can the gross errors be found, identified and detected correctly and accurately by the method of quasi accurate detection of gross errors(QUAD)? Firstly, an important property of the estimators of real errors by QUAD is analysised by ascertained the relationship between those estimator and gross errors, in which it is shown that the values of those estimators are dependent on the corresponding gross errors. So that ,the position of the gross errors can be identified directly based on this property, then the gross errors can be estimated accurately. Finally ,this conclusion is verified by the results of calculation of an example.
Keywords:Real errors    Residuals    Gross errors    Leverage observations    Quasi  accurate detection of gross errors
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