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On the conic section fitting problem

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  • Shklyar, Sergiy
  • Kukush, Alexander
  • Markovsky, Ivan
  • Van Huffel, Sabine

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].

Suggested Citation

  • Shklyar, Sergiy & Kukush, Alexander & Markovsky, Ivan & Van Huffel, Sabine, 2007. "On the conic section fitting problem," Journal of Multivariate Analysis, Elsevier, vol. 98(3), pages 588-624, March.
    • Handle: RePEc:eee:jmvana:v:98:y:2007:i:3:p:588-624
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    1. Kukush, Alexander & Markovsky, Ivan & Van Huffel, Sabine, 2004. "Consistent estimation in an implicit quadratic measurement error model," Computational Statistics & Data Analysis, Elsevier, vol. 47(1), pages 123-147, August.
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    Cited by:

    1. Fazzi, Antonio & Kukush, Alexander & Markovsky, Ivan, 2024. "Bias correction for Vandermonde low-rank approximation," Econometrics and Statistics, Elsevier, vol. 31(C), pages 38-48.

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