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

Soren Johansen and Bent Nielsen

CREATES Research Papers from Department of Economics and Business Economics, Aarhus University

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.

Keywords: Empirical processes; Huber's skip; indicator saturation; M-estimator; outlier robustness; vector autoregressive process (search for similar items in EconPapers)
JEL-codes: C32 (search for similar items in EconPapers)
Pages: 35
Date: 2008-02-05
New Economics Papers: this item is included in nep-ecm
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Citations: View citations in EconPapers (4)

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Working Paper: An analysis of the indicator saturation estimator as a robust regression estimator (2008)
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