An Analysis of the Indicator Saturation Estimator as a Robust Regression Estimator
CREATES Research Paper 2008-9
37 Pages Posted: 25 Jun 2008
Date Written: June 2, 2008
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 echniques. 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
JEL Classification: C32
Suggested Citation: Suggested Citation