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

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Author Info
Søren Johansen
Bent Nielsen () (School of Economics and Management, University of Aarhus, Denmark and CREATES)

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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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Paper provided by School of Economics and Management, University of Aarhus in its series CREATES Research Papers with number 2008-09.

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Length: 35
Date of creation: 05 Feb 2008
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Handle: RePEc:aah:create:2008-09

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Web page: http://www.econ.au.dk/afn/

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Related research
Keywords: Empirical processes; Huber's skip; indicator saturation; M-estimator; outlier robustness; vector autoregressive process;

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Find related papers by JEL classification:
C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions

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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. 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, June. [Downloadable!]
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Cited by:
(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!]
  2. Neil R. Ericsson, 2008. "The fragility of sensitivity analysis: an encompassing perspective," International Finance Discussion Papers 959, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
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