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条件平差模型两种粗差检验方法的等价性
引用本文:钱兆琛,沈云中.条件平差模型两种粗差检验方法的等价性[J].测绘科学,2018(2):30-33,38.
作者姓名:钱兆琛  沈云中
作者单位:同济大学测绘与地理信息学院,上海,200092
摘    要:针对测量数据处理中常用的条件平差模型,该文介绍了条件平差模型按残差进行粗差探测的方法和实施步骤,导出了条件平差模型按观测值偏差进行粗差探测的公式,证明了当观测误差独立时,这两种检验方法对于检验单个粗差的等价性。并通过算例证实了直接利用偏差估值构建的检验单个独立观测值的统计量与按残差构建的统计量完全相同。

关 键 词:粗差探测  条件平差模型  粗差检定  等价性  outlier  detection  conditional  adjustment  model  identifying  of  outlier  equivalence

The equivalence of two kinds of outlier detection methods based on conditional adjustment model
QIAN Zhaochen,SHEN Yunzhong.The equivalence of two kinds of outlier detection methods based on conditional adjustment model[J].Science of Surveying and Mapping,2018(2):30-33,38.
Authors:QIAN Zhaochen  SHEN Yunzhong
Abstract:Least squares adjustment based on conditional equation is frequently used in geodetic data processing.This paper introduced the outlier detection method and the correspondent processing approach based on the residuals of conditional adjustment,then derived the formulate according to the bias of observation for identifying outlier and proved that the two outlier detection methods were equivalent in single outlier detection for uncorrelated observations.It was also illustrated via a numerical example that the t est statistics for single outlier constructed with estimated biases were entirely same as that constructed withresiduals.
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