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Least Orthogonal Distance Estimator and Total Least Square

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

    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.

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    Bibliographic Info

    Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 42365.

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    Date of creation: 17 Sep 2012
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    Handle: RePEc:pra:mprapa:42365

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

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    1. Carl Eckart & Gale Young, 1936. "The approximation of one matrix by another of lower rank," Psychometrika, Springer, vol. 1(3), pages 211-218, September.
    2. 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.
    3. Jennings, L. S., 1980. "Simultaneous equations estimation : Computational aspects," Journal of Econometrics, Elsevier, vol. 12(1), pages 23-39, January.
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