On the conic section fitting problem

DOI10.1016/j.jmva.2005.12.003zbMath1118.62062OpenAlexW2132596424WikidataQ101208093 ScholiaQ101208093MaRDI QIDQ873625

Sergiy Shklyar, Ivan Markovsky, Alexander G. Kukush, Sabine Van Huffel

Publication date: 29 March 2007

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmva.2005.12.003

zbMATH Keywords

consistent estimatoradjusted least squaresellipsoid fittingquadratic measurement error model

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Asymptotic properties of parametric estimators (62F12) Multivariate analysis (62H99) Estimation in multivariate analysis (62H12)

Related Items (6)

Adjusted least squares fitting of algebraic hypersurfaces ⋮ Nonlinearly Structured Low-Rank Approximation ⋮ Equivariant adjusted least squares estimator in two-line fitting model ⋮ Structured low-rank approximation for nonlinear matrices ⋮ Singular asymptotic normality of an estimator in the conic section fitting problem. I ⋮ Singular asymptotic normality of an estimator in the conic section fitting problem. II

Cites Work

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• Consistent estimation in an implicit quadratic measurement error model
• Consistent least squares fitting of ellipsoids
• Polynomial Regression With Errors in the Variables
• Statistical bias of conic fitting and renormalization
• Least-squares fitting of circles and ellipses

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