Selecting a model for forecasting

We investigate forecasting in models that condition on variables for which future values are unknown. We consider the role of the significance level because it guides the binary decisions whether to include or exclude variables. The analysis is extended by allowing for a structural break, either in...

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Main Authors: Castle, J, Doornik, J, Hendry, DF
Format: Journal article
Language:English
Published: MDPI 2021
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author Castle, J
Doornik, J
Hendry, DF
author_facet Castle, J
Doornik, J
Hendry, DF
author_sort Castle, J
collection OXFORD
description We investigate forecasting in models that condition on variables for which future values are unknown. We consider the role of the significance level because it guides the binary decisions whether to include or exclude variables. The analysis is extended by allowing for a structural break, either in the first forecast period or just before. Theoretical results are derived for a three-variable static model, but generalized to include dynamics and many more variables in the simulation experiment. The results show that the trade-off for selecting variables in forecasting models in a stationary world, namely that variables should be retained if their noncentralities exceed unity, still applies in settings with structural breaks. This provides support for model selection at looser than conventional settings, albeit with many additional features explaining the forecast performance, and with the caveat that retaining irrelevant variables that are subject to location shifts can worsen forecast performance.
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spelling oxford-uuid:b6455edb-d18b-43ac-89fa-7b6a49250a372022-03-27T04:39:44ZSelecting a model for forecastingJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b6455edb-d18b-43ac-89fa-7b6a49250a37EnglishSymplectic ElementsMDPI2021Castle, JDoornik, JHendry, DFWe investigate forecasting in models that condition on variables for which future values are unknown. We consider the role of the significance level because it guides the binary decisions whether to include or exclude variables. The analysis is extended by allowing for a structural break, either in the first forecast period or just before. Theoretical results are derived for a three-variable static model, but generalized to include dynamics and many more variables in the simulation experiment. The results show that the trade-off for selecting variables in forecasting models in a stationary world, namely that variables should be retained if their noncentralities exceed unity, still applies in settings with structural breaks. This provides support for model selection at looser than conventional settings, albeit with many additional features explaining the forecast performance, and with the caveat that retaining irrelevant variables that are subject to location shifts can worsen forecast performance.
spellingShingle Castle, J
Doornik, J
Hendry, DF
Selecting a model for forecasting
title Selecting a model for forecasting
title_full Selecting a model for forecasting
title_fullStr Selecting a model for forecasting
title_full_unstemmed Selecting a model for forecasting
title_short Selecting a model for forecasting
title_sort selecting a model for forecasting
work_keys_str_mv AT castlej selectingamodelforforecasting
AT doornikj selectingamodelforforecasting
AT hendrydf selectingamodelforforecasting