
handle: 10419/152648
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.
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
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
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