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Title: A Generalized Singular Value Decomposition Strategy for Estimating the Block Recursive Simultaneous Equations Model
Authors: Cosbuc, Mircea I. 
Gatu, Cristian 
Colubi, Ana 
Kontoghiorghes, Erricos John 
Keywords: Block recursive SEM
Three-stage least squares
Generalized SVD
Issue Date: 9-Jun-2016
Publisher: Springer New York LLC
Source: Computational Economics, 2016, Pages 1-13
Abstract: A new strategy for deriving the three-stage least squares (3SLS) estimator of the simultaneous equations model (SEM) is proposed. The main numerical tool employed is the generalized singular value decomposition. This provides a numerical estimation procedure which can tackle efficiently the particular case when the variance-covariance matrix is singular. The proposed algorithm is further adapted to deal with the special case of the block-recursive SEM. The block diagonal structure of the variance-covariance matrix is exploited in order to reduce significantly the computational burden. Experimental results are presented to illustrate the computational efficiency of the new estimation strategy when compared with the equivalent method that ignores the block-recursive structure of the SEM.
ISSN: 09277099
Rights: © 2016 Springer Science+Business Media New York
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