On the selection of forecasting models

Atsushi Inoue and Lutz Kilian

No 214, Working Paper Series from European Central Bank

Abstract: It is standard in applied work to select forecasting models by ranking candidate models by their prediction mean square error (PMSE) in simulated ou-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 models 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 models among the candidate models. JEL Classification: C22, C52, C53

Keywords: forecast accuracy; Information criteria; model selection; Simulated out-of-sample method; structural change (search for similar items in EconPapers)
Date: 2003-02
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Citations: View citations in EconPapers (15)

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Related works:
Journal Article: On the selection of forecasting models (2006)
Working Paper: On the Selection of Forecasting Models (2003)
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Persistent link: https://EconPapers.repec.org/RePEc:ecb:ecbwps:2003214

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