model_1,model_2,win_rate,win_rate_lower,win_rate_upper,skill_score,skill_score_lower,skill_score_upper Chronos-2,Chronos-2,0.5,0.5,0.5,0.0,0.0,0.0 Chronos-2,TiRex,0.75,0.55,0.95,0.136,0.06,0.217 Chronos-2,TimesFM-2.5,0.8,0.6,0.95,0.127,0.049,0.215 Chronos-2,Toto-1.0,0.75,0.55,0.9,0.143,0.056,0.234 Chronos-2,TabPFN-TS,0.85,0.7,1.0,0.091,0.024,0.158 Chronos-2,Moirai-2.0,0.95,0.85,1.0,0.162,0.082,0.243 Chronos-2,Chronos-Bolt,1.0,1.0,1.0,0.18,0.104,0.255 Chronos-2,Sundial-Base,0.9,0.75,1.0,0.216,0.139,0.287 Chronos-2,Stat. Ensemble,0.95,0.85,1.0,0.327,0.248,0.403 Chronos-2,AutoARIMA,0.95,0.85,1.0,0.296,0.22,0.371 Chronos-2,AutoETS,0.95,0.85,1.0,0.541,0.378,0.703 Chronos-2,AutoTheta,1.0,1.0,1.0,0.466,0.381,0.543 Chronos-2,Seasonal Naive,1.0,1.0,1.0,0.511,0.425,0.58 Chronos-2,Naive,1.0,1.0,1.0,0.643,0.567,0.719 Chronos-2,Drift,1.0,1.0,1.0,0.641,0.56,0.72 TiRex,Chronos-2,0.25,0.05,0.45,-0.158,-0.277,-0.063 TiRex,TiRex,0.5,0.5,0.5,0.0,0.0,0.0 TiRex,TimesFM-2.5,0.55,0.35,0.75,-0.01,-0.066,0.03 TiRex,Toto-1.0,0.65,0.4,0.85,0.008,-0.031,0.042 TiRex,TabPFN-TS,0.6,0.4,0.8,-0.053,-0.216,0.076 TiRex,Moirai-2.0,0.75,0.55,0.95,0.03,-0.001,0.062 TiRex,Chronos-Bolt,0.9,0.75,1.0,0.051,0.02,0.085 TiRex,Sundial-Base,0.8,0.6,0.95,0.093,-0.028,0.186 TiRex,Stat. Ensemble,0.95,0.85,1.0,0.221,0.148,0.295 TiRex,AutoARIMA,0.95,0.85,1.0,0.185,0.141,0.234 TiRex,AutoETS,0.9,0.75,1.0,0.47,0.277,0.659 TiRex,AutoTheta,1.0,1.0,1.0,0.382,0.282,0.465 TiRex,Seasonal Naive,1.0,1.0,1.0,0.434,0.349,0.509 TiRex,Naive,0.95,0.85,1.0,0.587,0.503,0.656 TiRex,Drift,1.0,1.0,1.0,0.584,0.501,0.656 TimesFM-2.5,Chronos-2,0.2,0.05,0.4,-0.146,-0.274,-0.051 TimesFM-2.5,TiRex,0.45,0.25,0.65,0.01,-0.031,0.062 TimesFM-2.5,TimesFM-2.5,0.5,0.5,0.5,0.0,0.0,0.0 TimesFM-2.5,Toto-1.0,0.475,0.275,0.7,0.018,-0.018,0.058 TimesFM-2.5,TabPFN-TS,0.65,0.4,0.85,-0.042,-0.218,0.092 TimesFM-2.5,Moirai-2.0,0.625,0.425,0.825,0.04,-0.01,0.096 TimesFM-2.5,Chronos-Bolt,0.775,0.575,0.95,0.06,0.009,0.121 TimesFM-2.5,Sundial-Base,0.85,0.7,1.0,0.102,-0.022,0.189 TimesFM-2.5,Stat. Ensemble,0.85,0.7,1.0,0.229,0.15,0.307 TimesFM-2.5,AutoARIMA,0.8,0.649,0.95,0.193,0.134,0.252 TimesFM-2.5,AutoETS,0.9,0.75,1.0,0.476,0.285,0.662 TimesFM-2.5,AutoTheta,0.95,0.85,1.0,0.388,0.288,0.479 TimesFM-2.5,Seasonal Naive,1.0,1.0,1.0,0.44,0.354,0.52 TimesFM-2.5,Naive,1.0,1.0,1.0,0.591,0.512,0.66 TimesFM-2.5,Drift,0.95,0.85,1.0,0.588,0.509,0.663 Toto-1.0,Chronos-2,0.25,0.1,0.45,-0.167,-0.305,-0.06 Toto-1.0,TiRex,0.35,0.15,0.6,-0.008,-0.044,0.03 Toto-1.0,TimesFM-2.5,0.525,0.3,0.725,-0.018,-0.061,0.018 Toto-1.0,Toto-1.0,0.5,0.5,0.5,0.0,0.0,0.0 Toto-1.0,TabPFN-TS,0.6,0.4,0.8,-0.061,-0.244,0.087 Toto-1.0,Moirai-2.0,0.675,0.475,0.85,0.022,-0.016,0.061 Toto-1.0,Chronos-Bolt,0.575,0.35,0.775,0.043,-0.009,0.098 Toto-1.0,Sundial-Base,0.75,0.55,0.9,0.086,-0.048,0.191 Toto-1.0,Stat. Ensemble,0.85,0.7,1.0,0.215,0.135,0.297 Toto-1.0,AutoARIMA,0.85,0.7,1.0,0.179,0.122,0.233 Toto-1.0,AutoETS,0.95,0.85,1.0,0.466,0.267,0.659 Toto-1.0,AutoTheta,1.0,1.0,1.0,0.377,0.27,0.474 Toto-1.0,Seasonal Naive,1.0,1.0,1.0,0.43,0.339,0.517 Toto-1.0,Naive,1.0,1.0,1.0,0.584,0.501,0.655 Toto-1.0,Drift,1.0,1.0,1.0,0.581,0.501,0.653 TabPFN-TS,Chronos-2,0.15,0.0,0.3,-0.1,-0.188,-0.024 TabPFN-TS,TiRex,0.4,0.2,0.6,0.05,-0.083,0.178 TabPFN-TS,TimesFM-2.5,0.35,0.15,0.6,0.041,-0.101,0.179 TabPFN-TS,Toto-1.0,0.4,0.2,0.6,0.057,-0.096,0.196 TabPFN-TS,TabPFN-TS,0.5,0.5,0.5,0.0,0.0,0.0 TabPFN-TS,Moirai-2.0,0.65,0.45,0.85,0.079,-0.064,0.204 TabPFN-TS,Chronos-Bolt,0.6,0.4,0.8,0.098,-0.026,0.214 TabPFN-TS,Sundial-Base,0.7,0.45,0.9,0.138,0.011,0.249 TabPFN-TS,Stat. Ensemble,0.7,0.5,0.9,0.26,0.135,0.372 TabPFN-TS,AutoARIMA,0.75,0.55,0.95,0.226,0.114,0.333 TabPFN-TS,AutoETS,0.75,0.55,0.901,0.499,0.281,0.68 TabPFN-TS,AutoTheta,0.95,0.85,1.0,0.413,0.306,0.507 TabPFN-TS,Seasonal Naive,1.0,1.0,1.0,0.462,0.355,0.55 TabPFN-TS,Naive,1.0,1.0,1.0,0.607,0.512,0.693 TabPFN-TS,Drift,1.0,1.0,1.0,0.605,0.501,0.696 Moirai-2.0,Chronos-2,0.05,0.0,0.15,-0.193,-0.321,-0.09 Moirai-2.0,TiRex,0.25,0.05,0.45,-0.031,-0.066,0.001 Moirai-2.0,TimesFM-2.5,0.375,0.175,0.575,-0.041,-0.106,0.009 Moirai-2.0,Toto-1.0,0.325,0.15,0.525,-0.023,-0.065,0.016 Moirai-2.0,TabPFN-TS,0.35,0.15,0.55,-0.085,-0.256,0.061 Moirai-2.0,Moirai-2.0,0.5,0.5,0.5,0.0,0.0,0.0 Moirai-2.0,Chronos-Bolt,0.55,0.375,0.725,0.021,-0.019,0.068 Moirai-2.0,Sundial-Base,0.9,0.75,1.0,0.065,-0.067,0.167 Moirai-2.0,Stat. Ensemble,0.8,0.6,0.95,0.197,0.115,0.28 Moirai-2.0,AutoARIMA,0.85,0.7,1.0,0.16,0.099,0.221 Moirai-2.0,AutoETS,0.85,0.7,1.0,0.456,0.251,0.651 Moirai-2.0,AutoTheta,0.9,0.75,1.0,0.363,0.256,0.456 Moirai-2.0,Seasonal Naive,1.0,1.0,1.0,0.417,0.325,0.5 Moirai-2.0,Naive,0.95,0.85,1.0,0.574,0.481,0.65 Moirai-2.0,Drift,0.95,0.85,1.0,0.571,0.477,0.649 Chronos-Bolt,Chronos-2,0.0,0.0,0.0,-0.219,-0.342,-0.117 Chronos-Bolt,TiRex,0.1,0.0,0.25,-0.053,-0.093,-0.021 Chronos-Bolt,TimesFM-2.5,0.225,0.05,0.425,-0.064,-0.137,-0.009 Chronos-Bolt,Toto-1.0,0.425,0.225,0.65,-0.045,-0.108,0.009 Chronos-Bolt,TabPFN-TS,0.4,0.2,0.6,-0.109,-0.272,0.025 Chronos-Bolt,Moirai-2.0,0.45,0.275,0.625,-0.022,-0.073,0.019 Chronos-Bolt,Chronos-Bolt,0.5,0.5,0.5,0.0,0.0,0.0 Chronos-Bolt,Sundial-Base,0.75,0.55,0.95,0.044,-0.092,0.148 Chronos-Bolt,Stat. Ensemble,0.75,0.55,0.95,0.18,0.111,0.25 Chronos-Bolt,AutoARIMA,0.85,0.7,1.0,0.142,0.097,0.188 Chronos-Bolt,AutoETS,0.75,0.55,0.9,0.443,0.237,0.648 Chronos-Bolt,AutoTheta,0.95,0.85,1.0,0.349,0.248,0.437 Chronos-Bolt,Seasonal Naive,1.0,1.0,1.0,0.404,0.324,0.474 Chronos-Bolt,Naive,0.95,0.85,1.0,0.565,0.479,0.636 Chronos-Bolt,Drift,1.0,1.0,1.0,0.562,0.476,0.639 Sundial-Base,Chronos-2,0.1,0.0,0.25,-0.276,-0.403,-0.161 Sundial-Base,TiRex,0.2,0.05,0.4,-0.102,-0.229,0.027 Sundial-Base,TimesFM-2.5,0.15,0.0,0.3,-0.113,-0.233,0.022 Sundial-Base,Toto-1.0,0.25,0.1,0.45,-0.094,-0.237,0.046 Sundial-Base,TabPFN-TS,0.3,0.1,0.55,-0.16,-0.331,-0.011 Sundial-Base,Moirai-2.0,0.1,0.0,0.25,-0.069,-0.2,0.063 Sundial-Base,Chronos-Bolt,0.25,0.05,0.45,-0.047,-0.174,0.085 Sundial-Base,Sundial-Base,0.5,0.5,0.5,0.0,0.0,0.0 Sundial-Base,Stat. Ensemble,0.7,0.5,0.9,0.141,-0.003,0.27 Sundial-Base,AutoARIMA,0.65,0.45,0.85,0.102,-0.03,0.236 Sundial-Base,AutoETS,0.75,0.55,0.9,0.42,0.173,0.64 Sundial-Base,AutoTheta,0.75,0.55,0.9,0.319,0.205,0.422 Sundial-Base,Seasonal Naive,0.95,0.85,1.0,0.376,0.278,0.468 Sundial-Base,Naive,0.95,0.85,1.0,0.544,0.446,0.644 Sundial-Base,Drift,0.9,0.75,1.0,0.541,0.431,0.645 Stat. Ensemble,Chronos-2,0.05,0.0,0.15,-0.486,-0.675,-0.329 Stat. Ensemble,TiRex,0.05,0.0,0.15,-0.284,-0.419,-0.174 Stat. Ensemble,TimesFM-2.5,0.15,0.0,0.3,-0.297,-0.444,-0.177 Stat. Ensemble,Toto-1.0,0.15,0.0,0.3,-0.274,-0.422,-0.157 Stat. Ensemble,TabPFN-TS,0.3,0.1,0.5,-0.352,-0.592,-0.156 Stat. Ensemble,Moirai-2.0,0.2,0.05,0.4,-0.246,-0.388,-0.13 Stat. Ensemble,Chronos-Bolt,0.25,0.05,0.45,-0.219,-0.333,-0.124 Stat. Ensemble,Sundial-Base,0.3,0.1,0.5,-0.165,-0.369,0.003 Stat. Ensemble,Stat. Ensemble,0.5,0.5,0.5,0.0,0.0,0.0 Stat. Ensemble,AutoARIMA,0.5,0.3,0.7,-0.046,-0.11,0.011 Stat. Ensemble,AutoETS,0.8,0.65,0.95,0.34,0.109,0.584 Stat. Ensemble,AutoTheta,0.9,0.75,1.0,0.206,0.119,0.291 Stat. Ensemble,Seasonal Naive,0.8,0.625,0.95,0.273,0.165,0.37 Stat. Ensemble,Naive,0.95,0.85,1.0,0.469,0.372,0.556 Stat. Ensemble,Drift,1.0,1.0,1.0,0.466,0.371,0.555 AutoARIMA,Chronos-2,0.05,0.0,0.15,-0.42,-0.589,-0.283 AutoARIMA,TiRex,0.05,0.0,0.15,-0.227,-0.306,-0.164 AutoARIMA,TimesFM-2.5,0.2,0.05,0.351,-0.239,-0.336,-0.155 AutoARIMA,Toto-1.0,0.15,0.0,0.3,-0.218,-0.304,-0.139 AutoARIMA,TabPFN-TS,0.25,0.05,0.45,-0.292,-0.499,-0.129 AutoARIMA,Moirai-2.0,0.15,0.0,0.3,-0.19,-0.283,-0.109 AutoARIMA,Chronos-Bolt,0.15,0.0,0.3,-0.165,-0.231,-0.108 AutoARIMA,Sundial-Base,0.35,0.15,0.55,-0.113,-0.308,0.029 AutoARIMA,Stat. Ensemble,0.5,0.3,0.7,0.044,-0.011,0.099 AutoARIMA,AutoARIMA,0.5,0.5,0.5,0.0,0.0,0.0 AutoARIMA,AutoETS,0.75,0.55,0.95,0.36,0.124,0.595 AutoARIMA,AutoTheta,0.8,0.6,0.95,0.241,0.139,0.334 AutoARIMA,Seasonal Naive,0.95,0.875,1.0,0.306,0.199,0.4 AutoARIMA,Naive,0.95,0.85,1.0,0.493,0.39,0.578 AutoARIMA,Drift,0.9,0.75,1.0,0.489,0.393,0.574 AutoETS,Chronos-2,0.05,0.0,0.15,-1.177,-2.364,-0.607 AutoETS,TiRex,0.1,0.0,0.25,-0.888,-1.935,-0.384 AutoETS,TimesFM-2.5,0.1,0.0,0.25,-0.908,-1.961,-0.399 AutoETS,Toto-1.0,0.05,0.0,0.15,-0.874,-1.929,-0.365 AutoETS,TabPFN-TS,0.25,0.099,0.45,-0.995,-2.122,-0.391 AutoETS,Moirai-2.0,0.15,0.0,0.3,-0.84,-1.865,-0.335 AutoETS,Chronos-Bolt,0.25,0.1,0.45,-0.796,-1.839,-0.31 AutoETS,Sundial-Base,0.25,0.1,0.45,-0.725,-1.781,-0.209 AutoETS,Stat. Ensemble,0.2,0.05,0.35,-0.515,-1.402,-0.122 AutoETS,AutoARIMA,0.25,0.05,0.45,-0.564,-1.47,-0.141 AutoETS,AutoETS,0.5,0.5,0.5,0.0,0.0,0.0 AutoETS,AutoTheta,0.6,0.4,0.8,-0.216,-0.997,0.152 AutoETS,Seasonal Naive,0.65,0.45,0.85,-0.094,-0.891,0.27 AutoETS,Naive,0.8,0.6,0.95,0.178,-0.412,0.473 AutoETS,Drift,0.9,0.75,1.0,0.171,-0.441,0.461 AutoTheta,Chronos-2,0.0,0.0,0.0,-0.872,-1.19,-0.615 AutoTheta,TiRex,0.0,0.0,0.0,-0.618,-0.87,-0.393 AutoTheta,TimesFM-2.5,0.05,0.0,0.15,-0.634,-0.92,-0.405 AutoTheta,Toto-1.0,0.0,0.0,0.0,-0.605,-0.903,-0.37 AutoTheta,TabPFN-TS,0.05,0.0,0.15,-0.703,-1.03,-0.441 AutoTheta,Moirai-2.0,0.1,0.0,0.25,-0.569,-0.838,-0.344 AutoTheta,Chronos-Bolt,0.05,0.0,0.15,-0.536,-0.778,-0.33 AutoTheta,Sundial-Base,0.25,0.1,0.45,-0.467,-0.731,-0.257 AutoTheta,Stat. Ensemble,0.1,0.0,0.25,-0.26,-0.411,-0.135 AutoTheta,AutoARIMA,0.2,0.05,0.4,-0.318,-0.501,-0.161 AutoTheta,AutoETS,0.4,0.2,0.6,0.178,-0.18,0.499 AutoTheta,AutoTheta,0.5,0.5,0.5,0.0,0.0,0.0 AutoTheta,Seasonal Naive,0.8,0.6,0.95,0.085,-0.091,0.214 AutoTheta,Naive,0.85,0.7,1.0,0.332,0.212,0.436 AutoTheta,Drift,0.75,0.55,0.9,0.327,0.202,0.436 Seasonal Naive,Chronos-2,0.0,0.0,0.0,-1.046,-1.382,-0.739 Seasonal Naive,TiRex,0.0,0.0,0.0,-0.767,-1.038,-0.536 Seasonal Naive,TimesFM-2.5,0.0,0.0,0.0,-0.785,-1.083,-0.548 Seasonal Naive,Toto-1.0,0.0,0.0,0.0,-0.754,-1.07,-0.513 Seasonal Naive,TabPFN-TS,0.0,0.0,0.0,-0.86,-1.222,-0.549 Seasonal Naive,Moirai-2.0,0.0,0.0,0.0,-0.714,-1.001,-0.481 Seasonal Naive,Chronos-Bolt,0.0,0.0,0.0,-0.678,-0.902,-0.479 Seasonal Naive,Sundial-Base,0.05,0.0,0.15,-0.603,-0.879,-0.386 Seasonal Naive,Stat. Ensemble,0.2,0.05,0.375,-0.376,-0.587,-0.198 Seasonal Naive,AutoARIMA,0.05,0.0,0.125,-0.44,-0.667,-0.248 Seasonal Naive,AutoETS,0.35,0.15,0.55,0.086,-0.371,0.471 Seasonal Naive,AutoTheta,0.2,0.05,0.4,-0.093,-0.272,0.084 Seasonal Naive,Seasonal Naive,0.5,0.5,0.5,0.0,0.0,0.0 Seasonal Naive,Naive,0.7,0.525,0.85,0.27,0.133,0.386 Seasonal Naive,Drift,0.75,0.55,0.9,0.265,0.114,0.397 Naive,Chronos-2,0.0,0.0,0.0,-1.801,-2.561,-1.309 Naive,TiRex,0.05,0.0,0.15,-1.42,-1.907,-1.013 Naive,TimesFM-2.5,0.0,0.0,0.0,-1.444,-1.943,-1.05 Naive,Toto-1.0,0.0,0.0,0.0,-1.401,-1.895,-1.005 Naive,TabPFN-TS,0.0,0.0,0.0,-1.547,-2.26,-1.05 Naive,Moirai-2.0,0.05,0.0,0.15,-1.347,-1.858,-0.926 Naive,Chronos-Bolt,0.05,0.0,0.15,-1.297,-1.75,-0.918 Naive,Sundial-Base,0.05,0.0,0.15,-1.195,-1.805,-0.806 Naive,Stat. Ensemble,0.05,0.0,0.15,-0.885,-1.253,-0.593 Naive,AutoARIMA,0.05,0.0,0.15,-0.972,-1.372,-0.64 Naive,AutoETS,0.2,0.05,0.4,-0.217,-0.898,0.292 Naive,AutoTheta,0.15,0.0,0.3,-0.496,-0.774,-0.269 Naive,Seasonal Naive,0.3,0.15,0.475,-0.369,-0.629,-0.153 Naive,Naive,0.5,0.5,0.5,0.0,0.0,0.0 Naive,Drift,0.85,0.7,1.0,-0.007,-0.056,0.035 Drift,Chronos-2,0.0,0.0,0.0,-1.782,-2.572,-1.273 Drift,TiRex,0.0,0.0,0.0,-1.403,-1.908,-1.003 Drift,TimesFM-2.5,0.05,0.0,0.15,-1.428,-1.966,-1.036 Drift,Toto-1.0,0.0,0.0,0.0,-1.385,-1.884,-1.004 Drift,TabPFN-TS,0.0,0.0,0.0,-1.53,-2.286,-1.004 Drift,Moirai-2.0,0.05,0.0,0.15,-1.332,-1.849,-0.913 Drift,Chronos-Bolt,0.0,0.0,0.0,-1.282,-1.772,-0.909 Drift,Sundial-Base,0.1,0.0,0.25,-1.18,-1.816,-0.759 Drift,Stat. Ensemble,0.0,0.0,0.0,-0.872,-1.247,-0.591 Drift,AutoARIMA,0.1,0.0,0.25,-0.959,-1.348,-0.648 Drift,AutoETS,0.1,0.0,0.25,-0.206,-0.854,0.306 Drift,AutoTheta,0.25,0.1,0.45,-0.486,-0.774,-0.253 Drift,Seasonal Naive,0.25,0.1,0.45,-0.36,-0.657,-0.129 Drift,Naive,0.15,0.0,0.3,0.007,-0.037,0.053 Drift,Drift,0.5,0.5,0.5,0.0,0.0,0.0