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《Engineering of Surveying and Mapping》 1996-04
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A new Criterion for Robustness and the Corresponding Robust Estimate

Zhu Jianjun (Central South University of Technology, Chang Sha, 410083)  
The paper studies different Criterion for robustness- Based on the classical definition of robustness, the paper establishes a new criterion for robustness. With help of the criterion the paper discusses the robust estimates under the stochastic error model and mean-shifting error model which are often used in surveying adjustment. The results show that under the criterion and the stochastic error model the most reasonable robust estimate is the posterior variance approach proposed by Li Deren in 1983. Under the measure and the mean shift error model, the optimal robust estimate is the one with criterion mean square error proposed by Zhu Jianjun in 1991.
【Fund】: 有色金属工业总公司青年科学基金资助项目
【CateGory Index】: P207
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【Citations】
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 SU Yan (Department of Applied Mathematics, North China Electric Power University, Baoding 071003, China);The Action of Statistical Inference in Scientific Discovery and the Confirmation of Statistical Model[J];Journal of Baoding Teachers College;2004-04
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10 Gu Xiaolie Huang Yongru(Tongji University);VECTOR PROJECTION SCREENING FOR LOCATING BLUNDERS[J];Acta Geodaetica Et Cartographic Sinica;1987-04
【Co-references】
Chinese Journal Full-text Database 10 Hits
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10 HU Hong-chang1,2, SUN Hai-yan1(1. School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China;2. Department of Mathematics, Hubei Normal University, Huangshi 435002, China);Choice of the regular matrix R and smoothing parameter α[J];Engineering of Surveying and Mapping;2003-04
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Chinese Journal Full-text Database 10 Hits
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【Secondary Citations】
Chinese Journal Full-text Database 1 Hits
1 Li Deren;Gross Error Location by means of the Iteration Method with variable Weights[J];;1984-01
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