Outlier Detection in Regression Models with ARIMA Errors using Robust Estimates

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Abstract
A diagnostic procedure for detecting additive and innovation outliers as well as level shifts in a regression model with ARIMA errors is introduced. The procedure is based on a robust estimate of the model parameters and on innovation residuals computed by means of robust filtering. A Monte Carlo study shows that, when there is a large proportion of outliers, this procedure is more powerful than the classical methods based on maximum likelihood type estimates and Kalman filtering. Copyright © 2001 John Wiley & Sons, Ltd.
Funding Information
  • US Bureau of the Census (Joint Statistical Agreements Nos 90-55 and 91-34)
  • Universidad de Buenos Aires (TW92)
  • CONICET (PIP 4186/96)
  • FONCyT (PICT 97 No. 03-00000-00576)

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