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Least Orthogonal Distance Estimator and Total Least Square


  • Naccarato, Alessia
  • Zurlo, Davide
  • Pieraccini, Luciano


Least Orthogonal Distance Estimator (LODE) of Simultaneous Equation Models’ structural parameters is based on minimizing the orthogonal distance between Reduced Form (RF) and the Structural Form (SF) parameters. In this work we propose a new version – with respect to Pieraccini and Naccarato (2008) – of Full Information (FI) LODE based on decomposition of a new structure of the variance-covariance matrix using Singular Value Decomposition (SVD) instead of Spectral Decomposition (SD). In this context Total Least Square is applied. A simulation experiment to compare the performances of the new version of FI LODE with respect to Three Stage Least Square (3SLS) and Full Information Maximum Likelihood (FIML) is presented. Finally a comparison between the FI LODE new and old version together with few words of conclusion conclude the paper.

Suggested Citation

  • Naccarato, Alessia & Zurlo, Davide & Pieraccini, Luciano, 2012. "Least Orthogonal Distance Estimator and Total Least Square," MPRA Paper 42365, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:42365

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    References listed on IDEAS

    1. Jennings, L. S., 1980. "Simultaneous equations estimation : Computational aspects," Journal of Econometrics, Elsevier, vol. 12(1), pages 23-39, January.
    2. Carl Eckart & Gale Young, 1936. "The approximation of one matrix by another of lower rank," Psychometrika, Springer;The Psychometric Society, vol. 1(3), pages 211-218, September.
    3. Van Huffel, Sabine & Cheng, Chi-Lun & Mastronardi, Nicola & Paige, Chris & Kukush, Alexander, 2007. "Total Least Squares and Errors-in-variables Modeling," Computational Statistics & Data Analysis, Elsevier, vol. 52(2), pages 1076-1079, October.
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    More about this item


    Least Orthogonal Distance Estimator; Simultaneous Equation Models; Total Least Square;

    JEL classification:

    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation

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