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FEB Research Report KBI_1713

Publication date: 2017-08-01
Publisher: KU Leuven - Faculty of Economics and Business; Leuven (Belgium)

Author:

Crevits, Ruben
Croux, Christophe

Keywords:

Kalman Filter, Forecasting, Outliers, Time varying parameters

Abstract:

The model parameters of linear state space models are typically estimated with maximum likelihood estimation, where the likelihood is computed analytically with the Kalman filter. Outliers can deteriorate the estimation. Therefore we propose an alternative estimation method. The Kalman filter is replaced by a robust version and the maximum likelihood estimator is robustified as well. The performance of the robust estimator is investigated in a simulation study. Robust estimation of time varying parameter regression models is considered as a special case. Finally, the methodology is applied to real data.