Arbeitspapier
A near optimal test for structural breaks when forecasting under square error loss
We propose a near optimal test for structural breaks of unknown timing when the purpose of the analysis is to obtain accurate forecasts under square error loss. A bias-variance trade-off exists under square forecast error loss, which implies that small structural breaks should be ignored. We study critical break sizes, assess the relevance of the break location, and provide a test to determine whether modeling a break will improve forecast accuracy. Asymptotic critical values and near optimality properties are established allowing for a break under the null, where the critical break size varies with the break location. The results are extended to a class of shrinkage forecasts with our test statistic as shrinkage constant. Empirical results on a large number of macroeconomic time series show that structural breaks that are relevant for forecasting occur much less frequently than indicated by existing tests.
- Language
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Englisch
- Bibliographic citation
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Series: Tinbergen Institute Discussion Paper ; No. 17-039/III
- Classification
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Wirtschaft
Hypothesis Testing: General
Forecasting Models; Simulation Methods
- Subject
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structural break test
forecasting
squared error loss
- Event
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Geistige Schöpfung
- (who)
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Boot, Tom
Pick, Andreas
- Event
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Veröffentlichung
- (who)
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Tinbergen Institute
- (where)
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Amsterdam and Rotterdam
- (when)
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2017
- Handle
- Last update
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10.03.2025, 11:43 AM CET
Data provider
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Object type
- Arbeitspapier
Associated
- Boot, Tom
- Pick, Andreas
- Tinbergen Institute
Time of origin
- 2017