SELECTION OF ARX MODELS ESTIMATED BY THE PENALIZED WEIGHTED LEAST SQUARES METHOD
Author(s) -
Pan Qin,
Ryuei Nishii
Publication year - 2010
Publication title -
bulletin of informatics and cybernetics
Language(s) - English
Resource type - Journals
eISSN - 2435-743X
pISSN - 0286-522X
DOI - 10.5109/25904
Subject(s) - selection (genetic algorithm) , statistics , mathematics , least squares function approximation , computer science , econometrics , artificial intelligence , estimator
We consider the selection problem of auto-regressive time-series models with eXogeneous variables (ARX) estimated by Penalized Weighted Least Squares (PWLS) method. AIC and BIC are developed based on the maximum likelihood estimation. Therefore, in this research, we evaluate GIC for the ARX models estimated by PWLS. In a numerical experiment, the model selected by GIC shows an excellent performance, especially, in a target region.
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