On the conic section fitting problem
On the conic section fitting problem
Adjusted least squares (ALS) estimators for the conic section problem are considered. Consistency of the translation invariant version of ALS estimator is proved. The similarity invariance of the ALS estimator with estimated noise variance is shown. The conditions for consistency of the ALS estimator are relaxed compared with the ones of the paper Kukush et al. [Consistent estimation in an implicit quadratic measurement error model, Comput. Statist. Data Anal. 47(1) (2004) 123–147].
Adjusted least squares, Conic fitting, Consistent estimator, Ellipsoid fitting, Quadratic measurement error model
588-624
Shklyar, S.
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Kukush, A.
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Markovsky, I.
3e68743b-f22e-4b2b-b1a8-2ba4eb036a69
Van Huffel, S
8cd8cce3-d548-4ad2-8a2f-58cf263ba650
2007
Shklyar, S.
778917b3-f5cb-4304-9963-775690b72afa
Kukush, A.
9cf76e13-c463-47c3-9467-0ae6b04df4ef
Markovsky, I.
3e68743b-f22e-4b2b-b1a8-2ba4eb036a69
Van Huffel, S
8cd8cce3-d548-4ad2-8a2f-58cf263ba650
Shklyar, S., Kukush, A., Markovsky, I. and Van Huffel, S
(2007)
On the conic section fitting problem.
Journal of Multivariate Analysis, 98 (3), .
Abstract
Adjusted least squares (ALS) estimators for the conic section problem are considered. Consistency of the translation invariant version of ALS estimator is proved. The similarity invariance of the ALS estimator with estimated noise variance is shown. The conditions for consistency of the ALS estimator are relaxed compared with the ones of the paper Kukush et al. [Consistent estimation in an implicit quadratic measurement error model, Comput. Statist. Data Anal. 47(1) (2004) 123–147].
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Published date: 2007
Keywords:
Adjusted least squares, Conic fitting, Consistent estimator, Ellipsoid fitting, Quadratic measurement error model
Organisations:
Southampton Wireless Group
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Local EPrints ID: 263303
URI: http://eprints.soton.ac.uk/id/eprint/263303
ISSN: 0047-259X
PURE UUID: 801d89bb-1431-4d75-8080-1f5b5aa18bdc
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Date deposited: 06 Jan 2007
Last modified: 14 Mar 2024 07:29
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Contributors
Author:
S. Shklyar
Author:
A. Kukush
Author:
I. Markovsky
Author:
S Van Huffel
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