HLN-corrected Diebold–Mariano tests for calibrated Brier loss
| Comparison | LLA | LLB | Mean d | DMraw | DMHLN | Sig |
|---|---|---|---|---|---|---|
| IMUGI vs Climatology | 0.0291 | 0.0292 | −0.0001 | −3.261 | −3.260 | p < 0.01 |
| IMUGI vs Shumway DTH | 0.0291 | 0.0299 | −0.0007 | −3.571 | −3.569 | p < 0.01 |
| IMUGI vs Cox PH | 0.0291 | 0.0298 | −0.0007 | −3.524 | −3.522 | p < 0.01 |
| Comparison | LLA | LLB | Mean d | DMraw | DMHLN | Sig |
|---|---|---|---|---|---|---|
| IMUGI vs Climatology | 0.0291 | 0.0292 | −0.0001 | −3.261 | −3.260 | |
| IMUGI vs Shumway DTH | 0.0291 | 0.0299 | −0.0007 | −3.571 | −3.569 | |
| IMUGI vs Cox PH | 0.0291 | 0.0298 | −0.0007 | −3.524 | −3.522 |
Note(s): All models are calibrated and evaluated on the full test set. Loss is pointwise Brier score with HAC Newey–West variance estimation and forecast horizon h = 1. The null is H0: E[lossIMUGI − lossbenchmark] = 0 against the one-sided alternative that IMUGI has lower calibrated Brier loss. The reported significance category is based on the one-sided HLN-corrected p-value
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