Fitting circles to scattered data: parameter estimates have no moments

DOI10.1007/s00184-009-0283-yzbMath1213.62114arXiv0907.0429OpenAlexW2067963722MaRDI QIDQ537530

Nikolai I. Chernov

Publication date: 20 May 2011

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.0429

zbMATH Keywords

errors-in-variablesleast squares fitcircle fittingmoments of estimatesorthogonal regression

Mathematics Subject Classification ID

Point estimation (62F10) General nonlinear regression (62J02)

Related Items (4)

Error analysis for circle fitting algorithms ⋮ Errors-in-variables regression and the problem of moments ⋮ Statistical analysis of curve fitting methods in errors-in-variables models ⋮ A comparative study for two newly developed estimators for the slope in the functional EIV linear model

Cites Work

• Estimating linear statistical relationships
• Consistent estimation in an implicit quadratic measurement error model
• Statistical efficiency of curve fitting algorithms
• A finite algorithm to fit geometrically all midrange lines, circles, planes, spheres, hyperplanes, and hyperspheres
• Non-existence of the first moment of the adjusted least squares estimator in multivariate errors-in-variables model
• On the measurability and consistency of minimum contrast estimates
• Parameter estimation techniques: a tutorial with application to conic fitting
• Asymptotic Expansions of the Distributions of Estimators in a Linear Functional Relationship and Simultaneous Equations
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