| THEORETIC RESEARCH ON ROBUSTIFIED LEAST SQUARES ESTIMATOR BASED ON EQUIVALENT VARIANCE-COVARIANCE |
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| 作者姓名： | LIU JingnanYAO YibinSHI Chuang |
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| 作者单位： | LIU Jingnan,Professor,Ph.D supervisor,Member of Chinese Academy of Engineering,P residential Secretariat,Wuhan University,Luojia Hill,
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| 摘 要： | 1 ＩｎｔｒｏｄｕｃｔｉｏｎＯｎｔｈｅｂａｓｉｓｏｆｌａｒｇｅｑｕａｎｔｉｔｉｅｓｏｆｄａｔａａｎａｌｙｚｅｄ ,ｓｔａｔｉｓｔｉｃｉａｎｓｐｏｉｎｔｏｕｔｔｈａｔｔｈｅｐｒｏｂａｂｉｌｉｔｙｏｆｏｕｔ ｌｉｅｒｓｉｎ ｐｒａｃｔｉｃｅａｎｄｓｃｉｅｎｔｉｆｉｃｅｘｐｅｒｉｍｅｎｔａｒｅａｐ ｐｒｏｘｉｍａｔｅｌｙ 1 %＿1 0 %1 ] .Ｏｕｔｌｉｅｒｓａｌｗａｙｓａｆｆｅｃｔｔｈｅｃｏｒｒｅｃｔｎｅｓｓｏｆｒｅｓｕｌｔ.ＴｈｅｍｅｔｈｏｄｏｆＬｅａｓｔＳｑｕａｒｅｉｓｖｅｒｙｓｅｎｓｉｔｉｖｅｔｏｏｕｔｌｉ…
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Theoretic research on robustified least squares estimator based on equivalent variance-covariance |
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| LIU JingnanYAO YibinSHI Chuang.THEORETIC RESEARCH ON ROBUSTIFIED LEAST SQUARES ESTIMATOR BASED ON EQUIVALENT VARIANCE-COVARIANCE[J].Geo-Spatial Information Science,2001,4(4):1-8. |
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| Authors: | Liu Jingnan Yao Yibin Shi Chuang |
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| Institution: | LIU JingnanYAO YibinSHI Chuang |
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| Abstract: | Depending on analyzing the abuse of equivalent weights, a set of self-contained theory system on robust estimation based on
equivalent variance-covariance is established, which includes ϱ function, φ function, equivalent variance-covariance function,
influence function and breakdown point. And an example is given to verify that the robust models proposed in this paper are
reliable and correct. |
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| Keywords: | robust estimation equivalent weights equivalent variance-covariance |
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