Criterion | q = 30 | q = 50 | q = 70 | ||||||
---|---|---|---|---|---|---|---|---|---|
Naive | Yes | No | Naive | Yes | No | Naive | Yes | No | |
MAPE | Â | Â | Â | Â | Â | Â | Â | Â | Â |
 \(x^{(o)}_t\) | 1.602% | 1.002% | 0.759% | 1.602% | 0.940% | 0.677% | 1.600% | 0.831% | 0.617% |
 \(x^{(h)}_t\) | 1.378% | 1.418% | 1.348% | 1.376% | 1.353% | 1.300% | 1.377% | 1.297% | 1.267% |
 \(x^{(l)}_t\) | 1.378% | 1.269% | 1.315% | 1.377% | 1.240% | 1.207% | 1.381% | 1.191% | 1.147% |
 \(x^{(c)}_t\) | 1.486% | 1.765% | 1.773% | 1.485% | 1.709% | 1.689% | 1.488% | 1.667% | 1.626% |
 \(\bar{x}_{t}\) | 1.461% | 1.363% | 1.299% | 1.460% | 1.310% | 1.218% | 1.461% | 1.247% | 1.164% |
RMSE | Â | Â | Â | Â | Â | Â | Â | Â | Â |
 \(x^{(o)}_t\) | 42.207 | 29.651 | 26.959 | 42.307 | 24.220 | 22.981 | 42.408 | 22.328 | 21.309 |
 \(x^{(h)}_t\) | 36.205 | 37.646 | 40.406 | 36.291 | 35.714 | 36.262 | 36.378 | 33.639 | 34.585 |
 \(x^{(l)}_t\) | 36.049 | 34.708 | 37.354 | 36.135 | 31.826 | 33.037 | 36.221 | 31.121 | 30.930 |
 \(x^{(c)}_t\) | 40.772 | 47.770 | 50.991 | 40.869 | 45.643 | 46.073 | 40.967 | 44.628 | 44.452 |
 \(\bar{x}_{t}\) | 38.808 | 37.443 | 38.928 | 38.900 | 34.351 | 34.588 | 38.994 | 32.929 | 32.819 |
RMSEH | 44.329 | 44.639 | 47.777 | 44.435 | 42.153 | 42.657 | 44.541 | 39.988 | 40.560 |
AR | 0.411 | 0.419 | 0.412 | 0.411 | 0.442 | 0.441 | 0.411 | 0.454 | 0.459 |
VAR Ratio | - | 8.40% | 5.53% | - | 12.96% | 5.98% | - | 1.37% | 2.35% |
VECM Ratio | - | 91.60% | 94.47% | - | 87.04% | 94.02% | - | 98.63% | 97.65% |
Failure 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Failure 2 | 0 | 0 | 9 | 0 | 0 | 9 | 0 | 0 | 7 |
Failure 3 | 0 | 0 | 434 | 0 | 0 | 452 | 0 | 0 | 144 |