Theoretic research on robustified least squares estimator based on equivalent variance-covariance

Liu Jingnan; Yao Yibin; Shi Chuang

doi:10.1007/BF02826571

Theoretic research on robustified least squares estimator based on equivalent variance-covariance

Liu Jingnan^*
, Yao Yibin
, Shi Chuang

^*Corresponding author for this work

Wuhan University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Pages (from-to)	1-8
Number of pages	8
Journal	Geo-Spatial Information Science
Volume	4
Issue number	4
DOIs	https://doi.org/10.1007/BF02826571
State	Published - Dec 2001
Externally published	Yes

Keywords

Equivalent variance-covariance
Equivalent weights
Robust estimation

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10.1007/BF02826571

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title = "Theoretic research on robustified least squares estimator based on equivalent variance-covariance",

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.",

keywords = "Equivalent variance-covariance, Equivalent weights, Robust estimation",

author = "Liu Jingnan and Yao Yibin and Shi Chuang",

year = "2001",

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AU - Chuang, Shi

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AB - 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.

KW - Equivalent variance-covariance

KW - Equivalent weights

KW - Robust estimation

UR - https://www.scopus.com/pages/publications/85024553629

U2 - 10.1007/BF02826571

DO - 10.1007/BF02826571

M3 - 文章

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JO - Geo-Spatial Information Science

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ER -

Theoretic research on robustified least squares estimator based on equivalent variance-covariance

Abstract

Keywords

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