| 总体最小二乘平差中粗差的可区分性 |
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| 引用本文： | 陶武勇,鲁铁定,李香莲.总体最小二乘平差中粗差的可区分性[J].测绘科学,2017,42(7). |
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| 作者姓名： | 陶武勇 鲁铁定 李香莲 |
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| 作者单位： | 1. 江西信息应用职业技术学院测绘工程系,南昌,330043;2. 东华理工大学测绘工程学院,南昌,330013;3. 江西信息应用职业技术学院电子商务与管理系,南昌,330043 |
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| 基金项目： | 国家自然科学基金项目，江西省科技落地计划项目，江西省教育厅科技项目，中国博士后基金项目，江西省中青年教师发展计划访问学者专项项目，江西省远航工程计划项目 |
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| 摘 要： | 针对总体最小二乘中粗差的可区分性,在Partial-EIV模型加权总体最小二乘算法的基础上引入了两个备选假设下的可靠性理论,给出了分析总体最小二乘粗差可区分性的方法。通过直线拟合的算例分析,说明本文的方法是可行的,能够有效地分析总体最小二乘中粗差的可区分性,并发现采用总体最小二乘求解直线拟合时,存在粗差不可区分的情况,也就意味着粗差是不可定位的。对于其它计算模型也可能存在粗差不可区分的情况,须加以注意。
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| 关 键 词： | 总体最小二乘 相关系数 可区分性 粗差 |
The distinguishability of gross error in total least square |
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| TAO Wuyong,LU Tieding,LI Xianglian.The distinguishability of gross error in total least square[J].Science of Surveying and Mapping,2017,42(7). |
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| Authors: | TAO Wuyong LU Tieding LI Xianglian |
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| Abstract: | In order to analysis distinguishability of gross error in total least square.In the paper the Partial-EIV model weighted total least square is applied.And the theory of reliability under two alternative hypotheses is cited.Thus,The method of analysising distinguishability of gross error in total least square is proposed.At last the example of linear fitting is carried out and illustrate that the method is feasibility.It is effective to analysis distinguishability of gross error in total least square.And the condition of indistinguishable of gross error is existing when applying total least square to solve linear fitting.It's meaning that the gross error can not be located.It is need to be careful that the condition maybe exist in other calculation mode. |
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| Keywords: | total least square correlation coefficient distinguishability gross error |
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