Consistent estimation in an implicit quadratic measurement error model

DOI10.1016/j.csda.2003.10.022zbMath1429.62295OpenAlexW2134716888MaRDI QIDQ956994

Ivan Markovsky, Sabine Van Huffel, Alexander G. Kukush

Publication date: 26 November 2008

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.csda.2003.10.022

zbMATH Keywords

consistent estimatoradjusted least squaresellipsoid fittingquadratic measurement error modelconic fitting

Mathematics Subject Classification ID

Computational methods for problems pertaining to statistics (62-08) Numerical smoothing, curve fitting (65D10) Linear regression; mixed models (62J05)

Related Items (17)

Adjusted least squares fitting of algebraic hypersurfaces ⋮ Consistent least squares fitting of ellipsoids ⋮ Nonlinearly Structured Low-Rank Approximation ⋮ Probabilistic Detection and Estimation of Conic Sections From Noisy Data ⋮ Equivariant adjusted least squares estimator in two-line fitting model ⋮ Some recent advances in measurement error models and methods ⋮ On the conic section fitting problem ⋮ A doubly optimal ellipse fit ⋮ Multivariate geometric anisotropic Cox processes ⋮ Hyper least squares fitting of circles and ellipses ⋮ Errors-in-variables regression and the problem of moments ⋮ Fitting circles to scattered data: parameter estimates have no moments ⋮ Automatic radial distortion estimation from a single image ⋮ Guaranteed ellipse fitting with a confidence region and an uncertainty measure for centre, axes, and orientation ⋮ Singular asymptotic normality of an estimator in the conic section fitting problem. I ⋮ Editorial: Total least squares and errors-in-variables modeling ⋮ Singular asymptotic normality of an estimator in the conic section fitting problem. II

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