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Erscheinungsjahr: 
2026
Schriftenreihe/Nr.: 
Tinbergen Institute Discussion Paper No. TI 2025-074/III
Versionsangabe: 
Revision: January 2026
Verlag: 
Tinbergen Institute, Amsterdam and Rotterdam
Zusammenfassung: 
We propose using a discounted version of a convex combination of the log-likelihood with the corresponding expected log-likelihood such that when they are maximized they yield a filter, predictor and smoother for time series. This paper then focuses on working out the implications of this in the case of the canonical exponential family. The results are simple exact filters, predictors and smoothers with linear recursions. A theory for these models is developed and the models are illustrated on simulated and real data.
Schlagwörter: 
Exponential family
EWMA
Filtering
Likelihood
Time Series
JEL: 
C1
C32
Dokumentart: 
Working Paper
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