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Multivariate orthogonal regression in astronomy

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Publication:1894307
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DOI10.1007/BF00051895zbMath0821.62038OpenAlexW2912684118MaRDI QIDQ1894307

Richard L. jun. Branham

Publication date: 3 October 1995

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00051895

zbMATH Keywords

data reductiontotal least squaresordinary least squaresplanetary orbiterrors in variables problemGalactic kinematicsmixed total least squares


Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Linear regression; mixed models (62J05) Statistical astronomy (85A35)


Related Items

Laplacian orbit determination and differential corrections



Cites Work

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  • An Analysis of the Total Least Squares Problem
  • Generalized least-squares adjustment, a timely but much neglected tool
  • A generalization of the Eckart-Young-Mirsky matrix approximation theorem
  • The partial total least squares algorithm
  • Analysis and Solution of the Nongeneric Total Least Squares Problem
  • Bounds on Solutions of Linear Systems with Inaccurate Data
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