On the conic section fitting problem |
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Authors: | Sergiy Shklyar Ivan Markovsky |
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Institution: | a Kiew National Taras Shevchenko University, Vladimirskaya st. 64, 01033, Kiev, Ukraine b K.U.Leuven, ESAT-SCD, Kasteelpark Arenberg 10, B-3001 Leuven, Belgium |
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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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Keywords: | 62H35 62F12 62J02 62J10 62P12 62P30 |
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