Robust estimator for correlated observations based on bifactor equivalent weights

被引:6
作者
Y. Yang
L. Song
T. Xu
机构
[1] Xi'an Research Institute of Surveying and Mapping,
[2] No. 1 Mid-Yanta Road,undefined
[3] Xi'an 710054,undefined
[4] P.R. China e-mail: yuanxi.yang@263.net; Tel.: +86-29-553-35-03; Fax: +86-29-552-53-10,undefined
[5] Zhengzhou Institute of Surveying and Mapping,undefined
[6] 66 Longhai Road,undefined
[7] Zhengzhou 450052,undefined
[8] P.R. China,undefined
来源
Journal of Geodesy | 2002年 / 76卷
关键词
Keywords: Robust estimator – Correlated observations – Bifactor reduction model – Equivalent weight;
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中图分类号
学科分类号
摘要
 A new robust parameter estimator for the adjustment of correlated observations is developed based on a `bifactor reduction' model of weight elements. A shrinking factor for weight elements is proposed. The new equivalent weight matrix composed by the bifactor weight elements preserves the symmetry and keeps the original correlation coefficients unchanged. The new parameter estimator with its error influence function is derived. The robustness and efficiency of the new robust estimator is demonstrated with a simulated example and some conclusions are drawn.
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页码:353 / 358
页数:5
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