Leaderboards
Leaderboard for univariate time series forecasting
Rank | Model | Score | 🥇 | 🥈 | 🥉 | Paper | Publication | Year |
---|---|---|---|---|---|---|---|---|
1 | Linear Regression | 5911 | 2570 | 1902 | 1439 | paper | Wiley [bib] | 2005 |
2 | TimesNet | 5683 | 1945 | 1908 | 1830 | paper | ICLR [bib] | 2023 |
3 | N-HiTS | 4761 | 1997 | 1452 | 1312 | paper | AAAI [bib] | 2023 |
4 | Random Forest | 4403 | 1522 | 1503 | 1378 | paper | ML [bib] | 2021 |
5 | N-BEATS | 4168 | 1510 | 1411 | 1247 | paper | ICLR [bib] | 2020 |
6 | Arima | 3935 | 1403 | 1282 | 1250 | paper | JASA [bib] | 1970 |
7 | Xgboost | 3776 | 1320 | 1209 | 1247 | paper | KDD [bib] | 2016 |
8 | PatchTST | 3477 | 969 | 1148 | 1360 | paper | ICLR [bib] | 2023 |
9 | Naive Drift | 3383 | 1032 | 995 | 1356 | paper | Darts [bib] | —— |
10 | Naive Moving Average | 3149 | 1000 | 1143 | 1006 | paper | Darts [bib] | —— |
11 | TiDE | 3046 | 963 | 1031 | 1052 | paper | arXiv [bib] | 2023 |
12 | Informer | 3003 | 968 | 982 | 1053 | paper | AAAI [bib] | 2021 |
13 | FEDformer | 2414 | 715 | 771 | 928 | paper | ICML [bib] | 2022 |
14 | FiLM | 2300 | 753 | 764 | 783 | paper | NeurIPS [bib] | 2022 |
15 | Naive Seasonal | 2143 | 0 | 1000 | 1143 | paper | Darts [bib] | —— |
16 | Non-stationary Transformers | 2091 | 607 | 733 | 751 | paper | NeurIPS [bib] | 2022 |
17 | AutoCES | 2056 | 679 | 669 | 708 | paper | Darts [bib] | —— |
18 | Kalman Filter | 1907 | 809 | 569 | 529 | paper | CUP [bib] | 1990 |
19 | AutoTheta | 1846 | 454 | 682 | 710 | paper | Darts [bib] | —— |
20 | AutoETS | 1791 | 467 | 567 | 757 | paper | Darts [bib] | —— |
21 | LightGBM | 1564 | 553 | 560 | 451 | paper | NIPS [bib] | 2017 |
22 | Naive Mean | 1506 | 531 | 524 | 451 | paper | Darts [bib] | —— |
23 | DLinear | 1155 | 232 | 383 | 540 | paper | AAAI [bib] | 2023 |
24 | NLinear | 1089 | 430 | 336 | 323 | paper | AAAI [bib] | 2023 |
25 | Triformer | 654 | 230 | 249 | 175 | paper | IJCAI [bib] | 2022 |
26 | RNN | 603 | 238 | 178 | 187 | paper | arXiv [bib] | 2019 |
27 | Crossformer | 396 | 127 | 129 | 140 | paper | ICLR [bib] | 2023 |
28 | TCN | 387 | 175 | 119 | 93 | paper | arXiv [bib] | 2018 |
Rules:
- For univariate forecasting algorithms, we consider 8,068 series, and the MAE、MSE、MSMAPE metrics, thus having 24,204 (8,068 * 3) unique evaluation settings, click here to see the detailed results, click here to download detailed evaluation results for each of the 8,068 univariate time series.
- Datasets are classified by sampling frequency into Yearly, Quarterly, Monthly, Weekly, Daily, Hourly, and Other. Their corresponding forecasting horizons are 6, 8, 18, 13, 14, 48, and 8, respectively. The look-back window is set to 1.25 times the respective forecasting horizon.
- For each forecasting algorithm, we count the number of times that the algorithm receives the gold, silver, and bronze medals, i.e., having the lowest, 2nd lowest, and 3rd lowest errors, shown as 🥇, 🥈, and 🥉, respectively.
- We provide three different types of scores for ranking the forecasting algorithms. First, the scores equal to the numbers of gold medals. Second, the scores are the sum of the numbers of gold, silver, and bronze medals. Third, the scores are the weighted sum of the gold, silver, and bronze medals, where the weights can be customized. The larger the score, the higher the ranking.
Univariate forecasting results
Results classified according to characteristics
Datasets | Metric | Crossformer | N-HiTS | TiDE | DLinear | NLinear | PatchTST | TimesNet | FEDformer | FiLM | Stationary | Triformer | RF | Informer | N-BEATS | RNN | TCN | LightGBM | Xgboost | LR | KF | Arima | ND | NM | NMA | NS | AutoCES | AutoETS | AutoTheta | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Seasonality | √ | mase | 29.704 | 2.189 | 2.074 | 2.409 | 2.850 | 1.660 | 1.446 | 2.100 | 1.882 | 2.384 | 19.378 | 1.649 | 2.390 | 2.081 | 29.456 | 24.159 | 3.426 | 1.715 | 7.9e+9 | 9.002 | 2.830 | 4.111 | 8.855 | 4.164 | 4.164 | 2.845 | 4.091 | 3.901 |
msmape | 161.074 | 13.557 | 14.566 | 19.628 | 20.938 | 12.263 | 10.927 | 19.041 | 13.537 | 15.190 | 107.957 | 12.790 | 14.301 | 15.794 | 155.612 | 121.335 | 18.263 | 13.404 | 19.183 | 57.409 | 19.868 | 23.686 | 45.386 | 21.606 | 21.606 | 19.227 | 26.386 | 27.179 | ||
mase_rank | 17 | 201 | 175 | 22 | 31 | 129 | 329 | 51 | 141 | 33 | 12 | 235 | 60 | 147 | 19 | 17 | 59 | 212 | 588 | 144 | 203 | 72 | 25 | 47 | 0 | 63 | 30 | 51 | ||
msmape_rank | 17 | 196 | 156 | 19 | 32 | 147 | 303 | 51 | 134 | 29 | 11 | 259 | 61 | 154 | 18 | 15 | 57 | 226 | 597 | 144 | 206 | 76 | 28 | 44 | 0 | 58 | 33 | 46 | ||
× | mase | 23.704 | 1.678 | 2.526 | 1.949 | 1.733 | 1.639 | 1.478 | 1.879 | 1.769 | 1.638 | 16.496 | 1.731 | 1.601 | 1.677 | 23.257 | 15.441 | 3.267 | 1.814 | 2.6e+10 | 3.318 | 1.496 | 1.594 | 9.191 | 1.650 | 1.650 | 1.645 | 1.544 | 1.503 | |
msmape | 166.859 | 24.127 | 30.968 | 26.966 | 27.154 | 21.671 | 20.497 | 26.766 | 22.331 | 22.050 | 138.945 | 25.316 | 21.413 | 25.705 | 160.553 | 140.174 | 35.614 | 26.838 | 33.413 | 44.551 | 24.491 | 25.961 | 45.340 | 22.753 | 22.753 | 21.805 | 25.190 | 25.697 | ||
mase_rank | 23 | 474 | 139 | 51 | 107 | 189 | 321 | 192 | 109 | 166 | 60 | 272 | 261 | 367 | 71 | 42 | 126 | 222 | 244 | 147 | 231 | 279 | 153 | 317 | 0 | 166 | 123 | 98 | ||
msmape_rank | 24 | 477 | 150 | 53 | 108 | 192 | 318 | 188 | 110 | 164 | 56 | 275 | 252 | 345 | 69 | 44 | 123 | 222 | 250 | 149 | 232 | 283 | 148 | 329 | 0 | 160 | 125 | 105 | ||
Trend | √ | mase | 41.287 | 2.553 | 3.316 | 3.016 | 2.914 | 2.220 | 1.911 | 2.758 | 2.492 | 2.651 | 28.091 | 2.271 | 2.658 | 2.512 | 40.788 | 28.716 | 4.874 | 2.355 | 7.9e+9 | 8.486 | 2.822 | 3.611 | 15.686 | 3.789 | 3.789 | 2.817 | 3.615 | 3.486 |
msmape | 184.125 | 11.090 | 13.747 | 14.435 | 13.463 | 10.679 | 9.247 | 13.917 | 11.442 | 11.709 | 133.424 | 10.832 | 11.216 | 11.583 | 181.222 | 136.243 | 24.348 | 11.221 | 16.920 | 50.062 | 11.686 | 14.275 | 43.440 | 13.191 | 13.191 | 11.957 | 12.986 | 14.322 | ||
mase_rank | 2 | 337 | 180 | 49 | 72 | 158 | 393 | 103 | 159 | 96 | 22 | 217 | 150 | 255 | 6 | 8 | 85 | 189 | 688 | 80 | 295 | 158 | 77 | 104 | 0 | 154 | 106 | 115 | ||
msmape_rank | 2 | 341 | 180 | 48 | 78 | 177 | 376 | 103 | 153 | 95 | 19 | 219 | 145 | 248 | 4 | 6 | 85 | 194 | 703 | 80 | 297 | 161 | 75 | 96 | 0 | 146 | 112 | 116 | ||
× | mase | 8.941 | 1.116 | 1.272 | 1.131 | 1.326 | 1.007 | 0.968 | 1.077 | 1.052 | 1.127 | 5.878 | 1.059 | 1.064 | 1.073 | 8.711 | 7.718 | 1.127 | 1.127 | 3.1e+10 | 2.185 | 1.104 | 1.397 | 1.648 | 1.314 | 1.314 | 1.197 | 1.311 | 1.246 | |
msmape | 142.824 | 30.053 | 36.802 | 34.972 | 37.374 | 26.261 | 25.243 | 34.808 | 27.307 | 27.894 | 119.760 | 31.262 | 26.993 | 33.385 | 133.399 | 129.153 | 34.693 | 33.307 | 40.210 | 48.911 | 35.019 | 37.166 | 47.503 | 32.507 | 32.507 | 31.528 | 39.814 | 39.629 | ||
mase_rank | 38 | 338 | 134 | 24 | 66 | 160 | 257 | 140 | 91 | 103 | 50 | 290 | 171 | 259 | 84 | 51 | 100 | 245 | 144 | 211 | 139 | 193 | 101 | 260 | 0 | 75 | 47 | 34 | ||
msmape_rank | 39 | 332 | 126 | 24 | 62 | 162 | 245 | 136 | 91 | 98 | 48 | 315 | 168 | 251 | 83 | 53 | 95 | 254 | 144 | 213 | 141 | 198 | 101 | 277 | 0 | 72 | 46 | 35 | ||
Stationarity | √ | mase | 9.380 | 1.212 | 1.343 | 1.139 | 1.290 | 1.004 | 0.961 | 1.057 | 1.066 | 1.132 | 6.309 | 1.043 | 1.133 | 1.162 | 9.216 | 7.870 | 1.187 | 1.100 | 15.848 | 3.172 | 1.257 | 1.677 | 1.971 | 1.594 | 1.594 | 1.189 | 1.618 | 1.544 |
msmape | 135.888 | 31.080 | 37.594 | 35.434 | 37.306 | 27.024 | 26.120 | 35.122 | 28.172 | 28.539 | 114.323 | 32.232 | 27.546 | 33.519 | 128.366 | 122.194 | 31.229 | 34.281 | 38.320 | 52.234 | 36.212 | 38.615 | 48.139 | 33.876 | 33.876 | 31.216 | 41.513 | 40.645 | ||
mase_rank | 34 | 253 | 106 | 19 | 58 | 130 | 220 | 119 | 79 | 83 | 56 | 224 | 143 | 202 | 80 | 50 | 97 | 196 | 146 | 197 | 125 | 127 | 77 | 220 | 0 | 58 | 37 | 38 | ||
msmape_rank | 37 | 240 | 101 | 19 | 55 | 134 | 206 | 114 | 79 | 82 | 51 | 258 | 141 | 194 | 82 | 50 | 93 | 198 | 150 | 197 | 122 | 132 | 78 | 231 | 0 | 53 | 40 | 37 | ||
× | mase | 36.826 | 2.305 | 3.007 | 2.768 | 2.732 | 2.065 | 1.793 | 2.553 | 2.297 | 2.451 | 24.945 | 2.125 | 2.408 | 2.269 | 36.320 | 25.907 | 4.431 | 2.214 | 3.1e+10 | 7.032 | 2.500 | 3.143 | 13.664 | 3.288 | 3.288 | 2.585 | 3.118 | 3.003 | |
msmape | 183.264 | 12.885 | 16.225 | 16.800 | 16.610 | 12.206 | 10.754 | 16.425 | 12.940 | 13.397 | 135.177 | 12.853 | 12.904 | 14.325 | 178.281 | 139.836 | 27.269 | 13.455 | 21.168 | 47.757 | 13.942 | 16.306 | 43.554 | 14.809 | 14.809 | 14.981 | 15.365 | 16.947 | ||
mase_rank | 6 | 422 | 208 | 54 | 80 | 188 | 430 | 124 | 171 | 116 | 16 | 283 | 178 | 312 | 10 | 9 | 88 | 238 | 686 | 94 | 309 | 224 | 101 | 144 | 0 | 171 | 116 | 111 | ||
msmape_rank | 4 | 433 | 205 | 53 | 85 | 205 | 415 | 125 | 165 | 111 | 16 | 276 | 172 | 305 | 5 | 9 | 87 | 250 | 697 | 96 | 316 | 227 | 98 | 142 | 0 | 165 | 118 | 114 | ||
Transition | √ | mase | 19.759 | 1.601 | 1.827 | 1.820 | 1.985 | 1.397 | 1.282 | 1.571 | 1.505 | 1.744 | 11.972 | 1.380 | 1.779 | 1.543 | 19.414 | 13.744 | 2.098 | 1.474 | 5.7e+4 | 3.998 | 1.930 | 2.739 | 5.891 | 2.684 | 2.684 | 1.949 | 2.723 | 2.603 |
msmape | 155.700 | 22.672 | 27.664 | 25.741 | 29.013 | 21.932 | 20.869 | 24.803 | 22.973 | 23.707 | 117.240 | 23.002 | 22.978 | 23.031 | 151.088 | 125.136 | 26.486 | 24.545 | 29.179 | 45.521 | 25.020 | 30.833 | 36.610 | 28.376 | 28.376 | 25.504 | 28.725 | 29.234 | ||
mase_rank | 35 | 457 | 210 | 37 | 83 | 214 | 440 | 168 | 164 | 132 | 65 | 420 | 224 | 348 | 87 | 56 | 137 | 334 | 481 | 85 | 230 | 176 | 154 | 240 | 0 | 97 | 71 | 52 | ||
msmape_rank | 36 | 451 | 198 | 36 | 80 | 222 | 422 | 165 | 159 | 130 | 60 | 448 | 220 | 341 | 84 | 57 | 135 | 346 | 489 | 87 | 226 | 181 | 152 | 251 | 0 | 94 | 74 | 53 | ||
× | mase | 37.372 | 2.371 | 3.303 | 2.682 | 2.489 | 2.102 | 1.799 | 2.676 | 2.369 | 2.277 | 27.831 | 2.278 | 2.136 | 2.358 | 36.961 | 27.987 | 4.984 | 2.323 | 5.3e+10 | 8.259 | 2.157 | 2.253 | 14.810 | 2.506 | 2.506 | 2.284 | 2.172 | 2.113 | |
msmape | 180.775 | 15.284 | 19.143 | 21.216 | 17.039 | 10.984 | 9.435 | 21.932 | 11.622 | 11.399 | 144.591 | 15.905 | 10.860 | 19.785 | 172.323 | 146.942 | 31.454 | 16.404 | 25.629 | 56.754 | 18.520 | 14.673 | 61.194 | 11.329 | 11.329 | 13.554 | 20.089 | 20.905 | ||
mase_rank | 5 | 218 | 104 | 36 | 55 | 104 | 210 | 75 | 86 | 67 | 7 | 87 | 97 | 166 | 3 | 3 | 48 | 100 | 351 | 206 | 204 | 175 | 24 | 124 | 0 | 132 | 82 | 97 | ||
msmape_rank | 5 | 222 | 108 | 36 | 60 | 117 | 199 | 74 | 85 | 63 | 7 | 86 | 93 | 158 | 3 | 2 | 45 | 102 | 358 | 206 | 212 | 178 | 24 | 122 | 0 | 124 | 84 | 98 | ||
Shifting | √ | mase | 36.092 | 2.345 | 2.975 | 2.823 | 2.747 | 2.138 | 1.857 | 2.646 | 2.352 | 2.507 | 25.570 | 2.224 | 2.314 | 2.289 | 35.612 | 24.925 | 4.835 | 2.306 | 3.7e+10 | 6.862 | 2.331 | 2.836 | 14.610 | 3.002 | 3.002 | 2.695 | 2.799 | 2.676 |
msmape | 173.924 | 14.248 | 17.860 | 19.930 | 19.013 | 13.453 | 11.873 | 19.874 | 14.074 | 14.454 | 133.554 | 14.877 | 13.509 | 16.573 | 168.690 | 137.113 | 28.252 | 16.159 | 21.775 | 50.844 | 17.550 | 18.608 | 52.310 | 16.209 | 16.209 | 15.329 | 20.517 | 21.668 | ||
mase_rank | 10 | 343 | 153 | 43 | 80 | 150 | 373 | 105 | 136 | 79 | 23 | 176 | 169 | 248 | 21 | 13 | 58 | 168 | 530 | 214 | 284 | 168 | 49 | 136 | 0 | 148 | 110 | 106 | ||
msmape_rank | 10 | 349 | 153 | 43 | 84 | 168 | 354 | 99 | 133 | 77 | 25 | 185 | 164 | 240 | 20 | 10 | 57 | 171 | 536 | 213 | 294 | 173 | 46 | 132 | 0 | 140 | 114 | 107 | ||
× | mase | 15.639 | 1.390 | 1.709 | 1.410 | 1.563 | 1.142 | 1.062 | 1.262 | 1.257 | 1.355 | 9.401 | 1.159 | 1.485 | 1.363 | 15.381 | 12.499 | 1.394 | 1.229 | 7.4e+4 | 4.122 | 1.681 | 2.288 | 3.341 | 2.228 | 2.228 | 1.411 | 2.248 | 2.174 | |
msmape | 155.031 | 26.022 | 31.618 | 28.465 | 30.674 | 22.763 | 21.881 | 27.811 | 23.945 | 24.258 | 120.183 | 26.254 | 23.983 | 27.347 | 148.280 | 128.544 | 29.073 | 27.310 | 34.251 | 48.150 | 28.022 | 31.762 | 38.186 | 28.605 | 28.605 | 26.882 | 30.950 | 31.018 | ||
mase_rank | 30 | 332 | 161 | 30 | 58 | 168 | 277 | 138 | 114 | 120 | 49 | 331 | 152 | 266 | 69 | 46 | 127 | 266 | 302 | 77 | 150 | 183 | 129 | 228 | 0 | 81 | 43 | 43 | ||
msmape_rank | 31 | 324 | 153 | 29 | 56 | 171 | 267 | 140 | 111 | 116 | 42 | 349 | 149 | 259 | 67 | 49 | 123 | 277 | 311 | 80 | 144 | 186 | 130 | 241 | 0 | 78 | 44 | 44 |
Results classified according to frequency
Datasets | Metric | Crossformer | N-HiTS | TiDE | DLinear | NLinear | PatchTST | TimesNet | FEDformer | FiLM | Stationary | Triformer | RF | Informer | N-BEATS | RNN | TCN | LightGBM | Xgboost | LR | KF | Arima | ND | NM | NMA | NS | AutoCES | AutoETS | AutoTheta |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Hourly | mase | 9.670 | 1.494 | 1.219 | 1.457 | 1.865 | 1.239 | 0.952 | 1.165 | 1.355 | 1.884 | 6.850 | 0.884 | 3.087 | 1.115 | 9.384 | 9.631 | NaN | 0.986 | 0.868 | 7.954 | 4.316 | 7.158 | 7.322 | 7.244 | 7.244 | NaN | 7.492 | 7.160 |
msmape | 73.124 | 24.469 | 31.181 | 27.319 | 29.860 | 25.530 | 23.859 | 28.480 | 28.337 | 30.702 | 36.421 | 24.274 | 29.396 | 24.061 | 70.492 | 41.590 | NaN | 28.921 | 28.473 | 70.382 | 36.713 | 50.216 | 43.165 | 49.580 | 49.580 | NaN | 48.714 | 49.235 | |
mase_rank | 6 | 55 | 21 | 5 | 14 | 19 | 101 | 23 | 28 | 4 | 18 | 79 | 19 | 27 | 13 | 14 | 0 | 60 | 145 | 13 | 14 | 2 | 3 | 20 | 0 | 0 | 3 | 0 | |
msmape_rank | 8 | 53 | 13 | 5 | 11 | 23 | 91 | 17 | 27 | 3 | 16 | 102 | 17 | 26 | 15 | 9 | 0 | 65 | 149 | 15 | 14 | 1 | 2 | 21 | 0 | 0 | 3 | 0 | |
Daily | mase | 19.945 | 0.996 | 1.173 | 1.275 | 1.247 | 1.079 | 1.024 | 1.174 | 1.110 | 1.143 | 10.520 | 1.159 | 1.098 | 1.065 | 19.444 | 7.917 | NaN | 1.237 | 1.343 | 1.206 | 1.109 | 1.254 | 5.918 | 1.225 | 1.225 | 1.262 | 1.210 | 1.167 |
msmape | 120.256 | 23.464 | 26.197 | 26.792 | 24.895 | 20.662 | 19.547 | 25.422 | 20.507 | 22.205 | 71.532 | 25.388 | 21.107 | 23.516 | 112.613 | 77.606 | NaN | 25.923 | 26.463 | 22.004 | 25.984 | 24.513 | 42.843 | 23.787 | 23.787 | 24.457 | 25.826 | 24.652 | |
mase_rank | 28 | 181 | 61 | 12 | 17 | 16 | 81 | 69 | 24 | 49 | 38 | 131 | 73 | 144 | 56 | 40 | 0 | 116 | 75 | 32 | 37 | 37 | 15 | 111 | 0 | 21 | 8 | 11 | |
msmape_rank | 30 | 175 | 63 | 13 | 17 | 14 | 78 | 68 | 21 | 48 | 35 | 132 | 75 | 143 | 57 | 46 | 0 | 128 | 76 | 30 | 31 | 36 | 15 | 118 | 0 | 18 | 8 | 9 | |
Weekly | mase | 44.139 | 1.300 | 1.758 | 1.803 | 1.547 | 1.296 | 1.182 | 1.345 | 1.430 | 1.285 | 22.404 | 1.588 | 1.207 | 1.426 | 43.859 | 7.649 | 2.670 | 1.721 | 32.454 | 1.370 | 1.498 | 1.710 | 23.588 | 1.555 | 1.555 | 1.428 | 1.515 | 1.615 |
msmape | 144.661 | 32.196 | 39.461 | 50.164 | 40.255 | 17.957 | 17.137 | 53.293 | 17.811 | 18.270 | 75.392 | 35.276 | 17.443 | 53.560 | 106.534 | 71.959 | 51.593 | 36.482 | 56.279 | 19.288 | 43.371 | 37.112 | 113.559 | 14.490 | 14.490 | 30.525 | 49.869 | 63.426 | |
mase_rank | 3 | 37 | 16 | 12 | 4 | 19 | 43 | 11 | 15 | 20 | 5 | 30 | 23 | 30 | 17 | 0 | 15 | 21 | 33 | 153 | 51 | 111 | 5 | 99 | 0 | 10 | 13 | 5 | |
msmape_rank | 1 | 37 | 18 | 11 | 3 | 16 | 43 | 10 | 18 | 19 | 5 | 29 | 23 | 27 | 13 | 0 | 13 | 22 | 31 | 153 | 55 | 119 | 5 | 107 | 0 | 10 | 11 | 6 | |
Monthly | mase | 29.547 | 1.525 | 1.388 | 1.764 | 2.280 | 1.117 | 1.053 | 1.392 | 1.310 | 1.867 | 13.725 | 1.148 | 1.541 | 1.486 | 29.427 | 20.278 | 1.670 | 1.236 | 5.5e+9 | 2.120 | 1.725 | 2.616 | 5.352 | 2.545 | 2.545 | 2.339 | 2.577 | 2.342 |
msmape | 193.177 | 14.904 | 17.172 | 16.285 | 21.481 | 13.718 | 13.402 | 14.678 | 15.148 | 16.378 | 118.475 | 13.955 | 15.250 | 14.698 | 192.250 | 137.981 | 16.491 | 14.903 | 17.214 | 18.355 | 16.226 | 22.252 | 28.820 | 21.001 | 21.001 | 18.750 | 20.191 | 18.223 | |
mase_rank | 0 | 95 | 82 | 11 | 11 | 121 | 222 | 47 | 91 | 30 | 3 | 140 | 65 | 74 | 1 | 0 | 54 | 100 | 278 | 32 | 72 | 23 | 29 | 30 | 0 | 30 | 20 | 13 | |
msmape_rank | 0 | 97 | 79 | 10 | 11 | 132 | 212 | 53 | 90 | 29 | 4 | 136 | 64 | 71 | 1 | 0 | 54 | 99 | 284 | 31 | 69 | 23 | 27 | 35 | 0 | 29 | 20 | 14 | |
Quarterly | mase | 19.201 | 1.416 | 1.438 | 1.902 | 2.217 | 1.187 | 1.127 | 1.741 | 1.418 | 1.729 | 18.362 | 1.401 | 1.395 | 1.441 | 19.194 | 20.263 | 2.662 | 1.433 | 1.211 | 1.903 | 1.164 | 1.940 | 5.722 | 1.984 | 1.984 | 1.777 | 1.726 | 1.706 |
msmape | 198.238 | 15.648 | 18.295 | 18.070 | 23.067 | 14.425 | 13.991 | 16.813 | 15.994 | 16.753 | 191.489 | 15.482 | 15.103 | 15.031 | 198.359 | 192.939 | 21.733 | 16.348 | 16.000 | 19.524 | 14.235 | 18.583 | 35.988 | 18.241 | 18.241 | 17.440 | 17.251 | 16.572 | |
mase_rank | 0 | 104 | 72 | 10 | 25 | 87 | 127 | 37 | 52 | 47 | 2 | 67 | 67 | 86 | 0 | 0 | 57 | 67 | 193 | 24 | 140 | 52 | 70 | 33 | 0 | 37 | 38 | 20 | |
msmape_rank | 0 | 103 | 77 | 10 | 24 | 96 | 120 | 37 | 50 | 48 | 1 | 65 | 62 | 83 | 0 | 0 | 60 | 68 | 194 | 27 | 140 | 50 | 69 | 31 | 0 | 36 | 41 | 22 | |
Yearly | mase | 24.387 | 3.870 | 6.277 | 3.811 | 3.114 | 3.476 | 2.921 | 3.891 | 3.470 | 3.297 | 24.293 | 3.208 | 3.344 | 3.745 | 24.363 | 29.224 | 6.283 | 3.251 | 9.5e+10 | 19.012 | 3.242 | 2.783 | 7.276 | 3.039 | 3.039 | 3.168 | 2.864 | 2.729 |
msmape | 198.211 | 20.776 | 30.446 | 23.540 | 22.018 | 22.237 | 18.990 | 23.864 | 22.118 | 20.281 | 199.307 | 20.602 | 21.386 | 20.247 | 197.946 | 199.599 | 36.939 | 21.333 | 41.919 | 157.051 | 20.268 | 20.112 | 42.554 | 19.935 | 19.935 | 20.272 | 19.464 | 19.314 | |
mase_rank | 0 | 175 | 39 | 11 | 55 | 44 | 59 | 40 | 32 | 36 | 0 | 39 | 60 | 127 | 1 | 0 | 59 | 53 | 72 | 20 | 91 | 111 | 49 | 61 | 0 | 117 | 59 | 90 | |
msmape_rank | 0 | 181 | 37 | 11 | 61 | 47 | 60 | 38 | 31 | 33 | 0 | 41 | 58 | 121 | 0 | 0 | 53 | 49 | 77 | 20 | 100 | 113 | 52 | 51 | 0 | 111 | 65 | 90 | |
Other | mase | 59.541 | 2.709 | 2.694 | 3.212 | 3.123 | 2.307 | 2.153 | 3.617 | 3.434 | 2.634 | 42.544 | 3.198 | 2.289 | 2.557 | 55.492 | 48.087 | NaN | 3.358 | 2.378 | 2.596 | 2.093 | 2.380 | 30.345 | 2.941 | 2.941 | 2.370 | 2.232 | 2.358 |
msmape | 157.858 | 10.102 | 10.283 | 13.841 | 13.916 | 10.952 | 9.853 | 13.804 | 13.576 | 12.069 | 115.990 | 11.151 | 10.390 | 9.770 | 151.264 | 122.739 | NaN | 12.206 | 12.015 | 15.013 | 12.097 | 13.258 | 36.152 | 13.905 | 13.905 | 11.657 | 12.944 | 12.935 | |
mase_rank | 3 | 28 | 23 | 12 | 12 | 12 | 17 | 16 | 8 | 13 | 6 | 21 | 14 | 26 | 2 | 5 | 0 | 17 | 36 | 17 | 29 | 15 | 7 | 10 | 0 | 14 | 12 | 10 | |
msmape_rank | 2 | 27 | 19 | 12 | 13 | 11 | 17 | 16 | 7 | 13 | 6 | 29 | 14 | 28 | 1 | 4 | 0 | 17 | 36 | 17 | 29 | 17 | 6 | 10 | 0 | 14 | 10 | 10 |