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An analysis of the indicator saturation estimator as a robust regression estimator

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Author Info
Søren Johansen (Department of Economics, University of Copenhagen and CREATES, University of Aarhus)
Bent Nielsen () (Department of Economics, University of Oxford)

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Abstract

An algorithm suggested by Hendry (1999) for estimation in a regression with more regressors than observations, is analyzed with the purpose of finding an estimator that is robust to outliers and structural breaks. This estimator is an example of a one-step M-estimator based on Huber’s skip function. The asymptotic theory is derived in the situation where there are no outliers or structural breaks using empirical process techniques. Stationary processes, trend stationary autoregressions and unit root processes are considered.

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File URL: http://www.nuffield.ox.ac.uk/economics/papers/2008/w3/JohansenNielsenDumSat31Jan08.pdf
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Publisher Info
Paper provided by Economics Group, Nuffield College, University of Oxford in its series Economics Papers with number 2008-W03.

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Length: 35 pages
Date of creation: 01 2008
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Handle: RePEc:nuf:econwp:0803

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Web page: http://www.nuff.ox.ac.uk/economics/

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Keywords: Empirical processes Huber’s skip indicator saturation M-estimator outlier robustness vector autoregressive process.

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  1. Nielsen, Bent, 2005. "Strong Consistency Results For Least Squares Estimators In General Vector Autoregressions With Deterministic Terms," Econometric Theory, Cambridge University Press, vol. 21(03), pages 534-561, April. [Downloadable!]
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Neil R. Ericsson & Steven B. Kamin, 2008. "Constructive data mining: modeling argentine broad money demand," International Finance Discussion Papers 943, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
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This page was last updated on 2008-11-3.


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