Consistent least squares fitting of ellipsoids
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Consistent least squares fitting of ellipsoids
A parameter estimation problem for ellipsoid fitting in the presence of measurement errors is considered. The ordinary least squares estimator is inconsistent, and due to the nonlinearity of the model, the orthogonal regression estimator is inconsistent as well, i.e., these estimators do not converge to the true value of the parameters, as the sample size tends to infinity.A consistent estimato...
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ژورنال
عنوان ژورنال: Numerische Mathematik
سال: 2004
ISSN: 0029-599X,0945-3245
DOI: 10.1007/s00211-004-0526-9