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An Analysis of the Indicator Saturation Estimator as a Robust Regression Estimator

Authors: Johansen, Søren; Nielsen, Bent;

An Analysis of the Indicator Saturation Estimator as a Robust Regression Estimator

Abstract

An algorithm suggested by Hendry (1999) for estimation in a regression with more regressors than observations, is analyzed with the purpose of …nding 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.

Countries
United Kingdom, Denmark
Keywords

Huber's skip, empirical processes, /dk/atira/pure/core/keywords/FacultyOfSocialSciences, vector autoregressive processes, /dk/atira/pure/core/keywords/FacultyOfSocialSciences; name=Faculty of Social Sciences, Empirical processes, Huber’s skip, indicator saturation, M-estimator, outlier robustness, vector autoregressive process., M-estimator, outlier robustness, Faculty of Social Sciences

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    85
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Top 10%
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
85
Top 10%
Top 10%
Top 10%
Green
bronze