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Journal of Econometrics
Article . 2006 . Peer-reviewed
License: Elsevier TDM
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zbMATH Open
Article . 2006
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https://doi.org/10.2139/ssrn.3...
Article . 2003 . Peer-reviewed
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EconStor
Research . 2003
Data sources: EconStor
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On the Selection of Forecasting Models

On the selection of forecasting models
Authors: Inoue, Atsushi; Kilian, Lutz;

On the Selection of Forecasting Models

Abstract

It is standard in applied work to select forecasting models by ranking candidate models by their PMSE in simulated out-of-sample (SOOS) forecasts. Alternatively, forecast models may be selected using information criteria (IC). We compare the asymptotic and finite-sample properties of these methods in terms of their ability to minimize the true out-of-sample PMSE, allowing for possible misspecification of the forecast models under consideration. We first study a covariance stationary environment. We show that under suitable conditions the IC method will be consistent for the best approximating model among the candidate models. In contrast, under standard assumptions the SOOS method will select overparameterized models with positive probability, resulting in excessive finite-sample PMSEs. We also show that in the presence of unmodelled structural change both methods will be inadmissible in the sense that they may select a model with strictly higher PMSE than the best approximating model among the candidate models.

Keywords

Forecast accuracy, model selection, predictive least squares, Forecast accuracy, Information criteria, Model Selection, Simulated out-of-sample method, Structural change, ddc:330, forecast accuracy, forecast accuracy; information criteria; model selection; simulated out-of-sample method; structural change, Simulated out-of-sample method, Inference from stochastic processes and prediction, C52, simulated out-of-sample method, Structural change, Information criteria, C53, information criteria, C22, Model Selection, jel: jel:C52, jel: jel:C53, jel: jel:C22

  • BIP!
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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).
    101
    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 1%
    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!
101
Top 10%
Top 1%
Top 10%
bronze