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On the conic section fitting problem

By Sergiy Shklyar, Alexander Kukush, Ivan Markovsky and Sabine Van Huffel

Abstract

AbstractAdjusted 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]

Publisher: Elsevier Inc.
Year: 2007
DOI identifier: 10.1016/j.jmva.2005.12.003
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