Chiu, Ching-Wai (Jeremy), Hayes, Simon, Kapetanios, George and Theodoridis, Konstantinos ORCID: https://orcid.org/0000-0002-4039-3895
2019.
A new approach for detecting shifts in forecast accuracy.
International Journal of Forecasting
35
(4)
, pp. 1596-1612.
10.1016/j.ijforecast.2019.01.008
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Abstract
Forecasts play a critical role at inflation-targeting central banks, such as the Bank of England. Breaks in the forecast performance of a model can potentially incur important policy costs. However, commonly-used statistical procedures implicitly place a lot of weight on type I errors (or false positives), which results in a relatively low power of the tests to identify forecast breakdowns in small samples. We develop a procedure which aims to capture the policy cost of missing a break. We use data-based rules to find the test size that optimally trades off the costs associated with false positives with those that can result from a break going undetected for too long. In so doing, we also explicitly study forecast errors as a multivariate system. The covariance between forecast errors for different series, although often overlooked in the forecasting literature, not only enables us to consider testing in a multivariate setting, but also increases the test power. As a result, we can tailor our choice of the critical values for each series not only to the in-sample properties of each series, but also to the way in which the series of forecast errors covary.
| Item Type: | Article |
|---|---|
| Date Type: | Publication |
| Status: | Published |
| Schools: | Schools > Business (Including Economics) |
| Publisher: | Elsevier |
| ISSN: | 0169-2070 |
| Date of First Compliant Deposit: | 30 January 2019 |
| Date of Acceptance: | 29 January 2019 |
| Last Modified: | 04 Dec 2024 04:15 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/118946 |
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