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THE MEASURE OF MEAN COOK DISTANCE UNDER THE CONTAMINATED ERROR MODEL

THE MEASURE OF MEAN COOK DISTANCE UNDER THE CONTAMINATED ERROR MODEL *
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摘要 Redefines the mean Cook distance under the contaminated error model. With the help of the mean Cook distance, the paper discusses the relationship between local influence of small perturbations and high leverage case. A new robust method for the adjustment of geodetic networks is proposed. The suggested method, a generalization of the robust method with the minimum mean Cook distance, is more efficient than the others. The basic feature of the method is that the equivalent weight functions of the robust estimates are determined according to the principle of statistics. Redefines the mean Cook distance under the contaminated error model. With the help of the mean Cook distance, the paper discusses the relationship between local influence of small perturbations and high leverage case. A new robust method for the adjustment of geodetic networks is proposed. The suggested method, a generalization of the robust method with the minimum mean Cook distance, is more efficient than the others. The basic feature of the method is that the equivalent weight functions of the robust estimates are determined according to the principle of statistics.
出处 《Journal of Central South University》 SCIE EI CAS 1999年第2期115-119,共5页 中南大学学报(英文版)
关键词 ROBUST ESTIMATION COOK DISTANCE MAXIMUM LIKELIHOOD ESTIMATION robust estimation Cook distance maximum likelihood estimation
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参考文献2

  • 1Zhizhong Wang. Research of the mean cook distance and the robust estimate of scale parameter[J] 1997,Journal of Central South University of Technology(1):61~64
  • 2Jianjun Zhu. Robustness and the robust estimate[J] 1996,Journal of Geodesy(9):586~590

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