Forecast evaluation using RRMSE
| Countries | In-sample | Out-of-sample | In-sample | Out-of-sample | ||||
|---|---|---|---|---|---|---|---|---|
| WTI | Brent | |||||||
| Model-2 relative to Model-1 | ||||||||
| Brazil | 100.0 | 100.0 | 80.0 | 80.0 | 40.0 | 40.0 | 40.0 | 40.0 |
| China | 20.0 | 20.0 | 20.0 | 20.0 | 60.0 | 60.0 | 60.0 | 20.0 |
| India | 80.0 | 80.0 | 80.0 | 80.0 | 20.0 | 20.0 | 20.0 | 20.0 |
| Indonesia | 60.0 | 60.0 | 60.0 | 60.0 | 60.0 | 60.0 | 60.0 | 60.0 |
| Russia | 20.0 | 40.0 | 40.0 | 40.0 | 80.0 | 80.0 | 40.0 | 40.0 |
| South Africa | 60.0 | 60.0 | 40.0 | 40.0 | 60.0 | 60.0 | 40.0 | 40.0 |
| South Korea | 80.0 | 80.0 | 80.0 | 80.0 | 80.0 | 80.0 | 80.0 | 80.0 |
| Turkey | 80.0 | 80.0 | 80.0 | 80.0 | 100.0 | 100.0 | 100.0 | 80.0 |
| Vietnam | 100.0 | 100.0 | 100.0 | 100.0 | 40.0 | 40.0 | 40.0 | 40.0 |
| Model-3 relative to Model-1 | ||||||||
| Brazil | 100.0 | 80.0 | 60.0 | 60.0 | 80.0 | 60.0 | 60.0 | 60.0 |
| China | 80.0 | 80.0 | 80.0 | 80.0 | 60.0 | 80.0 | 80.0 | 60.0 |
| India | 80.0 | 80.0 | 80.0 | 80.0 | 60.0 | 60.0 | 60.0 | 40.0 |
| Indonesia | 60.0 | 60.0 | 60.0 | 60.0 | 80.0 | 80.0 | 80.0 | 80.0 |
| Russia | 60.0 | 60.0 | 80.0 | 80.0 | 100.0 | 100.0 | 100.0 | 80.0 |
| South Africa | 80.0 | 80.0 | 80.0 | 60.0 | 60.0 | 60.0 | 40.0 | 20.0 |
| South Korea | 100.0 | 80.0 | 80.0 | 80.0 | 100.0 | 80.0 | 80.0 | 80.0 |
| Turkey | 100.0 | 100.0 | 100.0 | 100.0 | 100.0 | 100.0 | 100.0 | 100.0 |
| Vietnam | 80.0 | 80.0 | 80.0 | 80.0 | 100.0 | 80.0 | 80.0 | 100.0 |
| Model-3 relative to Model-2 | ||||||||
| Brazil | 60.0 | 40.0 | 40.0 | 40.0 | 100.0 | 80.0 | 80.0 | 80.0 |
| China | 60.0 | 60.0 | 60.0 | 60.0 | 80.0 | 100.0 | 100.0 | 80.0 |
| India | 80.0 | 80.0 | 60.0 | 60.0 | 40.0 | 40.0 | 40.0 | 40.0 |
| Indonesia | 80.0 | 80.0 | 80.0 | 80.0 | 60.0 | 60.0 | 60.0 | 60.0 |
| Russia | 100.0 | 80.0 | 80.0 | 40.0 | 100.0 | 80.0 | 60.0 | 60.0 |
| South Africa | 100.0 | 100.0 | 100.0 | 80.0 | 80.0 | 80.0 | 60.0 | 60.0 |
| South Korea | 80.0 | 80.0 | 80.0 | 80.0 | 60.0 | 60.0 | 60.0 | 60.0 |
| Turkey | 60.0 | 60.0 | 60.0 | 60.0 | 100.0 | 100.0 | 80.0 | 80.0 |
| Vietnam | 60.0 | 60.0 | 60.0 | 60.0 | 80.0 | 60.0 | 60.0 | 80.0 |
| Countries | In-sample | Out-of-sample | In-sample | Out-of-sample | ||||
|---|---|---|---|---|---|---|---|---|
| WTI | Brent | |||||||
| Brazil | 100.0 | 100.0 | 80.0 | 80.0 | 40.0 | 40.0 | 40.0 | 40.0 |
| China | 20.0 | 20.0 | 20.0 | 20.0 | 60.0 | 60.0 | 60.0 | 20.0 |
| India | 80.0 | 80.0 | 80.0 | 80.0 | 20.0 | 20.0 | 20.0 | 20.0 |
| Indonesia | 60.0 | 60.0 | 60.0 | 60.0 | 60.0 | 60.0 | 60.0 | 60.0 |
| Russia | 20.0 | 40.0 | 40.0 | 40.0 | 80.0 | 80.0 | 40.0 | 40.0 |
| South Africa | 60.0 | 60.0 | 40.0 | 40.0 | 60.0 | 60.0 | 40.0 | 40.0 |
| South Korea | 80.0 | 80.0 | 80.0 | 80.0 | 80.0 | 80.0 | 80.0 | 80.0 |
| Turkey | 80.0 | 80.0 | 80.0 | 80.0 | 100.0 | 100.0 | 100.0 | 80.0 |
| Vietnam | 100.0 | 100.0 | 100.0 | 100.0 | 40.0 | 40.0 | 40.0 | 40.0 |
| Brazil | 100.0 | 80.0 | 60.0 | 60.0 | 80.0 | 60.0 | 60.0 | 60.0 |
| China | 80.0 | 80.0 | 80.0 | 80.0 | 60.0 | 80.0 | 80.0 | 60.0 |
| India | 80.0 | 80.0 | 80.0 | 80.0 | 60.0 | 60.0 | 60.0 | 40.0 |
| Indonesia | 60.0 | 60.0 | 60.0 | 60.0 | 80.0 | 80.0 | 80.0 | 80.0 |
| Russia | 60.0 | 60.0 | 80.0 | 80.0 | 100.0 | 100.0 | 100.0 | 80.0 |
| South Africa | 80.0 | 80.0 | 80.0 | 60.0 | 60.0 | 60.0 | 40.0 | 20.0 |
| South Korea | 100.0 | 80.0 | 80.0 | 80.0 | 100.0 | 80.0 | 80.0 | 80.0 |
| Turkey | 100.0 | 100.0 | 100.0 | 100.0 | 100.0 | 100.0 | 100.0 | 100.0 |
| Vietnam | 80.0 | 80.0 | 80.0 | 80.0 | 100.0 | 80.0 | 80.0 | 100.0 |
| Brazil | 60.0 | 40.0 | 40.0 | 40.0 | 100.0 | 80.0 | 80.0 | 80.0 |
| China | 60.0 | 60.0 | 60.0 | 60.0 | 80.0 | 100.0 | 100.0 | 80.0 |
| India | 80.0 | 80.0 | 60.0 | 60.0 | 40.0 | 40.0 | 40.0 | 40.0 |
| Indonesia | 80.0 | 80.0 | 80.0 | 80.0 | 60.0 | 60.0 | 60.0 | 60.0 |
| Russia | 100.0 | 80.0 | 80.0 | 40.0 | 100.0 | 80.0 | 60.0 | 60.0 |
| South Africa | 100.0 | 100.0 | 100.0 | 80.0 | 80.0 | 80.0 | 60.0 | 60.0 |
| South Korea | 80.0 | 80.0 | 80.0 | 80.0 | 60.0 | 60.0 | 60.0 | 60.0 |
| Turkey | 60.0 | 60.0 | 60.0 | 60.0 | 100.0 | 100.0 | 80.0 | 80.0 |
| Vietnam | 60.0 | 60.0 | 60.0 | 60.0 | 80.0 | 60.0 | 60.0 | 80.0 |
Note(s): The figures are the percentage of occurrences of a RRMSE value that is greater than unity, when the ratio of the first (unrestricted) model to the second (restricted) model in the pair of contending models labelled on each pane is obtained. The higher the percentage number, the more the preference for the unrestricted model over the restricted model
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