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Performances d'estimateurs à rétrécisseur en situation de multicolinéarité

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  • Christian Robert

Abstract

Near collinearities among explicative variables in a regression model have unwanted effects on the least squares estimator. They inflate the variances of least squares regression coefficient estimates and introduce a lack of fiability for this estimator. In this paper, we define precisely the notion of multicollinearity, then we show why a minimax shrinkage estimator cannot bring any significant improvement over the LSE in the estimation of the components responsible for multicollinearity. In the last part, we propose a generalization of the principal components estimators which performs rather well in a bounded neighborhood of 0.

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  • Christian Robert, 1988. "Performances d'estimateurs à rétrécisseur en situation de multicolinéarité," Annals of Economics and Statistics, GENES, issue 10, pages 97-119.
    • Handle: RePEc:adr:anecst:y:1988:i:10:p:97-119
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