Robust biased estimation and its applications in geodetic adjustments |
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| Authors: | Q Gui J Zhang |
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| Institution: | (1) Zhengzhou Institute of Surveying and Mapping, Zhengzhou 450 052, Henan, P.R.China Fax: +371 7425506, CN |
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| Abstract: | In this paper, a number of robust biased estimators (e.g. ordinary robust ridge estimator, robust principal components estimator,
robust combined principal components estimator, robust single-parametric principal components estimator, robust root-root
estimator) are established by means of a unified expression of biased estimators and based on the principle of equivalent
weight. The most attractive advantage of these new estimators is that they can not only overcome the ill-conditioning of the
normal equation but also have the ability to resist outliers. A numerical example is used to illustrate that these new estimators
are much better than the least-squares estimator and various biased estimators even when both ill-conditioning and outliers
exist.
Received: 14 November 1995/Accepted: 11 February 1998 |
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| Keywords: | , Biased estimation,Equivalent weight method,Robust biased estimation |
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