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,0.74,0.65,0.82,0.091,0.058,0.126 Chronos-2,TimesFM-2.5,0.72,0.63,0.8,0.09,0.059,0.122 Chronos-2,Toto-1.0,0.7,0.6,0.79,0.119,0.084,0.156 Chronos-2,TabPFN-TS,0.81,0.73,0.89,0.105,0.072,0.134 Chronos-2,Moirai-2.0,0.86,0.79,0.92,0.136,0.105,0.17 Chronos-2,Chronos-Bolt,0.9,0.84,0.95,0.147,0.114,0.18 Chronos-2,Sundial-Base,0.97,0.93,1.0,0.225,0.194,0.255 Chronos-2,Stat. Ensemble,0.95,0.9,0.99,0.38,0.324,0.431 Chronos-2,AutoARIMA,0.96,0.92,0.99,0.367,0.316,0.416 Chronos-2,AutoETS,0.95,0.9,0.99,0.597,0.5,0.684 Chronos-2,AutoTheta,0.98,0.95,1.0,0.474,0.418,0.529 Chronos-2,Seasonal Naive,0.98,0.95,1.0,0.515,0.469,0.559 Chronos-2,Naive,0.98,0.95,1.0,0.652,0.603,0.693 Chronos-2,Drift,0.98,0.95,1.0,0.654,0.603,0.697 TiRex,Chronos-2,0.26,0.18,0.35,-0.1,-0.144,-0.062 TiRex,TiRex,0.5,0.5,0.5,0.0,0.0,0.0 TiRex,TimesFM-2.5,0.555,0.455,0.65,-0.001,-0.02,0.017 TiRex,Toto-1.0,0.685,0.6,0.77,0.03,0.009,0.05 TiRex,TabPFN-TS,0.64,0.54,0.74,0.016,-0.033,0.063 TiRex,Moirai-2.0,0.795,0.715,0.87,0.05,0.03,0.073 TiRex,Chronos-Bolt,0.815,0.735,0.885,0.061,0.039,0.083 TiRex,Sundial-Base,0.895,0.835,0.95,0.148,0.11,0.185 TiRex,Stat. Ensemble,0.89,0.83,0.95,0.318,0.262,0.374 TiRex,AutoARIMA,0.93,0.87,0.98,0.304,0.256,0.352 TiRex,AutoETS,0.92,0.86,0.97,0.558,0.449,0.655 TiRex,AutoTheta,0.95,0.9,0.99,0.421,0.365,0.479 TiRex,Seasonal Naive,0.99,0.96,1.0,0.467,0.42,0.515 TiRex,Naive,0.99,0.96,1.0,0.617,0.565,0.663 TiRex,Drift,0.97,0.93,1.0,0.619,0.567,0.666 TimesFM-2.5,Chronos-2,0.28,0.2,0.37,-0.099,-0.139,-0.063 TimesFM-2.5,TiRex,0.445,0.35,0.545,0.001,-0.017,0.019 TimesFM-2.5,TimesFM-2.5,0.5,0.5,0.5,0.0,0.0,0.0 TimesFM-2.5,Toto-1.0,0.56,0.475,0.655,0.031,0.006,0.057 TimesFM-2.5,TabPFN-TS,0.64,0.54,0.74,0.017,-0.031,0.062 TimesFM-2.5,Moirai-2.0,0.73,0.645,0.81,0.051,0.028,0.076 TimesFM-2.5,Chronos-Bolt,0.76,0.685,0.835,0.062,0.04,0.085 TimesFM-2.5,Sundial-Base,0.905,0.845,0.96,0.148,0.114,0.183 TimesFM-2.5,Stat. Ensemble,0.9,0.84,0.95,0.319,0.262,0.376 TimesFM-2.5,AutoARIMA,0.93,0.88,0.98,0.304,0.255,0.357 TimesFM-2.5,AutoETS,0.9,0.84,0.95,0.558,0.449,0.655 TimesFM-2.5,AutoTheta,0.96,0.91,0.99,0.422,0.362,0.483 TimesFM-2.5,Seasonal Naive,0.99,0.97,1.0,0.467,0.422,0.518 TimesFM-2.5,Naive,0.99,0.97,1.0,0.617,0.564,0.664 TimesFM-2.5,Drift,0.97,0.93,1.0,0.62,0.565,0.667 Toto-1.0,Chronos-2,0.3,0.21,0.4,-0.134,-0.185,-0.092 Toto-1.0,TiRex,0.315,0.23,0.4,-0.031,-0.053,-0.009 Toto-1.0,TimesFM-2.5,0.44,0.345,0.525,-0.032,-0.061,-0.006 Toto-1.0,Toto-1.0,0.5,0.5,0.5,0.0,0.0,0.0 Toto-1.0,TabPFN-TS,0.54,0.45,0.63,-0.015,-0.073,0.036 Toto-1.0,Moirai-2.0,0.59,0.49,0.68,0.02,-0.003,0.044 Toto-1.0,Chronos-Bolt,0.61,0.52,0.695,0.032,0.003,0.061 Toto-1.0,Sundial-Base,0.795,0.715,0.87,0.121,0.079,0.163 Toto-1.0,Stat. Ensemble,0.81,0.73,0.88,0.297,0.235,0.356 Toto-1.0,AutoARIMA,0.85,0.78,0.92,0.282,0.23,0.336 Toto-1.0,AutoETS,0.84,0.76,0.91,0.545,0.433,0.645 Toto-1.0,AutoTheta,0.93,0.87,0.97,0.403,0.341,0.465 Toto-1.0,Seasonal Naive,0.96,0.92,0.99,0.45,0.397,0.501 Toto-1.0,Naive,0.97,0.93,1.0,0.605,0.55,0.652 Toto-1.0,Drift,0.97,0.93,1.0,0.607,0.551,0.656 TabPFN-TS,Chronos-2,0.19,0.11,0.27,-0.117,-0.155,-0.078 TabPFN-TS,TiRex,0.36,0.26,0.46,-0.016,-0.067,0.032 TabPFN-TS,TimesFM-2.5,0.36,0.26,0.46,-0.017,-0.066,0.03 TabPFN-TS,Toto-1.0,0.46,0.37,0.55,0.015,-0.037,0.068 TabPFN-TS,TabPFN-TS,0.5,0.5,0.5,0.0,0.0,0.0 TabPFN-TS,Moirai-2.0,0.55,0.46,0.65,0.035,-0.017,0.084 TabPFN-TS,Chronos-Bolt,0.52,0.43,0.61,0.046,0.0,0.092 TabPFN-TS,Sundial-Base,0.79,0.71,0.87,0.134,0.09,0.175 TabPFN-TS,Stat. Ensemble,0.795,0.715,0.875,0.307,0.247,0.365 TabPFN-TS,AutoARIMA,0.83,0.75,0.9,0.293,0.239,0.348 TabPFN-TS,AutoETS,0.85,0.78,0.92,0.554,0.442,0.654 TabPFN-TS,AutoTheta,0.94,0.89,0.98,0.412,0.352,0.471 TabPFN-TS,Seasonal Naive,0.97,0.935,0.995,0.458,0.412,0.506 TabPFN-TS,Naive,0.97,0.93,1.0,0.611,0.556,0.657 TabPFN-TS,Drift,0.95,0.9,0.98,0.613,0.557,0.661 Moirai-2.0,Chronos-2,0.14,0.08,0.21,-0.158,-0.204,-0.118 Moirai-2.0,TiRex,0.205,0.13,0.285,-0.053,-0.078,-0.031 Moirai-2.0,TimesFM-2.5,0.27,0.19,0.355,-0.054,-0.082,-0.029 Moirai-2.0,Toto-1.0,0.41,0.32,0.51,-0.021,-0.046,0.003 Moirai-2.0,TabPFN-TS,0.45,0.35,0.54,-0.036,-0.091,0.017 Moirai-2.0,Moirai-2.0,0.5,0.5,0.5,0.0,0.0,0.0 Moirai-2.0,Chronos-Bolt,0.59,0.505,0.67,0.012,-0.013,0.037 Moirai-2.0,Sundial-Base,0.865,0.79,0.93,0.103,0.062,0.14 Moirai-2.0,Stat. Ensemble,0.84,0.76,0.91,0.282,0.222,0.343 Moirai-2.0,AutoARIMA,0.89,0.82,0.95,0.267,0.214,0.322 Moirai-2.0,AutoETS,0.87,0.8,0.93,0.537,0.421,0.639 Moirai-2.0,AutoTheta,0.91,0.85,0.96,0.391,0.33,0.454 Moirai-2.0,Seasonal Naive,0.93,0.87,0.97,0.439,0.387,0.49 Moirai-2.0,Naive,0.95,0.9,0.99,0.597,0.541,0.645 Moirai-2.0,Drift,0.95,0.9,0.99,0.599,0.542,0.649 Chronos-Bolt,Chronos-2,0.1,0.05,0.16,-0.172,-0.22,-0.129 Chronos-Bolt,TiRex,0.185,0.115,0.265,-0.065,-0.091,-0.041 Chronos-Bolt,TimesFM-2.5,0.24,0.165,0.315,-0.066,-0.092,-0.042 Chronos-Bolt,Toto-1.0,0.39,0.305,0.48,-0.033,-0.065,-0.003 Chronos-Bolt,TabPFN-TS,0.48,0.39,0.57,-0.049,-0.101,-0.0 Chronos-Bolt,Moirai-2.0,0.41,0.33,0.495,-0.012,-0.038,0.013 Chronos-Bolt,Chronos-Bolt,0.5,0.5,0.5,0.0,0.0,0.0 Chronos-Bolt,Sundial-Base,0.785,0.705,0.865,0.092,0.051,0.128 Chronos-Bolt,Stat. Ensemble,0.85,0.78,0.92,0.274,0.215,0.332 Chronos-Bolt,AutoARIMA,0.88,0.81,0.94,0.258,0.207,0.31 Chronos-Bolt,AutoETS,0.87,0.8,0.93,0.531,0.418,0.635 Chronos-Bolt,AutoTheta,0.96,0.92,0.99,0.384,0.323,0.446 Chronos-Bolt,Seasonal Naive,0.97,0.94,1.0,0.432,0.384,0.482 Chronos-Bolt,Naive,0.98,0.95,1.0,0.592,0.537,0.639 Chronos-Bolt,Drift,0.98,0.95,1.0,0.594,0.539,0.643 Sundial-Base,Chronos-2,0.03,0.0,0.07,-0.29,-0.343,-0.24 Sundial-Base,TiRex,0.105,0.05,0.165,-0.173,-0.226,-0.124 Sundial-Base,TimesFM-2.5,0.095,0.04,0.155,-0.174,-0.223,-0.129 Sundial-Base,Toto-1.0,0.205,0.13,0.285,-0.138,-0.195,-0.085 Sundial-Base,TabPFN-TS,0.21,0.13,0.29,-0.155,-0.212,-0.099 Sundial-Base,Moirai-2.0,0.135,0.07,0.21,-0.114,-0.163,-0.066 Sundial-Base,Chronos-Bolt,0.215,0.135,0.295,-0.101,-0.147,-0.053 Sundial-Base,Sundial-Base,0.5,0.5,0.5,0.0,0.0,0.0 Sundial-Base,Stat. Ensemble,0.68,0.58,0.76,0.2,0.124,0.268 Sundial-Base,AutoARIMA,0.73,0.63,0.81,0.183,0.114,0.245 Sundial-Base,AutoETS,0.71,0.61,0.79,0.486,0.353,0.603 Sundial-Base,AutoTheta,0.77,0.68,0.85,0.321,0.25,0.391 Sundial-Base,Seasonal Naive,0.91,0.85,0.96,0.374,0.322,0.43 Sundial-Base,Naive,0.91,0.85,0.96,0.55,0.489,0.605 Sundial-Base,Drift,0.88,0.81,0.94,0.553,0.487,0.611 Stat. Ensemble,Chronos-2,0.05,0.01,0.1,-0.613,-0.757,-0.479 Stat. Ensemble,TiRex,0.11,0.05,0.17,-0.466,-0.598,-0.355 Stat. Ensemble,TimesFM-2.5,0.1,0.05,0.16,-0.468,-0.603,-0.355 Stat. Ensemble,Toto-1.0,0.19,0.12,0.27,-0.422,-0.552,-0.307 Stat. Ensemble,TabPFN-TS,0.205,0.125,0.285,-0.443,-0.575,-0.329 Stat. Ensemble,Moirai-2.0,0.16,0.09,0.24,-0.393,-0.521,-0.285 Stat. Ensemble,Chronos-Bolt,0.15,0.08,0.22,-0.377,-0.496,-0.274 Stat. Ensemble,Sundial-Base,0.32,0.24,0.42,-0.25,-0.366,-0.142 Stat. Ensemble,Stat. Ensemble,0.5,0.5,0.5,0.0,0.0,0.0 Stat. Ensemble,AutoARIMA,0.5,0.41,0.6,-0.021,-0.061,0.02 Stat. Ensemble,AutoETS,0.755,0.67,0.835,0.38,0.234,0.517 Stat. Ensemble,AutoTheta,0.87,0.81,0.93,0.151,0.111,0.194 Stat. Ensemble,Seasonal Naive,0.835,0.77,0.895,0.218,0.166,0.273 Stat. Ensemble,Naive,0.97,0.93,1.0,0.438,0.386,0.484 Stat. Ensemble,Drift,0.97,0.93,1.0,0.442,0.387,0.49 AutoARIMA,Chronos-2,0.04,0.01,0.08,-0.58,-0.711,-0.461 AutoARIMA,TiRex,0.07,0.02,0.13,-0.436,-0.543,-0.345 AutoARIMA,TimesFM-2.5,0.07,0.02,0.12,-0.438,-0.556,-0.342 AutoARIMA,Toto-1.0,0.15,0.08,0.22,-0.393,-0.505,-0.299 AutoARIMA,TabPFN-TS,0.17,0.1,0.25,-0.414,-0.533,-0.315 AutoARIMA,Moirai-2.0,0.11,0.05,0.18,-0.365,-0.476,-0.272 AutoARIMA,Chronos-Bolt,0.12,0.06,0.19,-0.348,-0.449,-0.261 AutoARIMA,Sundial-Base,0.27,0.19,0.37,-0.224,-0.324,-0.129 AutoARIMA,Stat. Ensemble,0.5,0.4,0.59,0.021,-0.021,0.058 AutoARIMA,AutoARIMA,0.5,0.5,0.5,0.0,0.0,0.0 AutoARIMA,AutoETS,0.685,0.59,0.775,0.381,0.235,0.518 AutoARIMA,AutoTheta,0.75,0.67,0.83,0.169,0.119,0.218 AutoARIMA,Seasonal Naive,0.88,0.825,0.93,0.234,0.184,0.287 AutoARIMA,Naive,0.91,0.85,0.96,0.449,0.389,0.499 AutoARIMA,Drift,0.89,0.82,0.95,0.453,0.393,0.505 AutoETS,Chronos-2,0.05,0.01,0.1,-1.48,-2.169,-0.999 AutoETS,TiRex,0.08,0.03,0.14,-1.261,-1.901,-0.816 AutoETS,TimesFM-2.5,0.1,0.05,0.16,-1.261,-1.898,-0.814 AutoETS,Toto-1.0,0.16,0.09,0.24,-1.198,-1.815,-0.764 AutoETS,TabPFN-TS,0.15,0.08,0.22,-1.242,-1.889,-0.793 AutoETS,Moirai-2.0,0.13,0.07,0.2,-1.158,-1.773,-0.727 AutoETS,Chronos-Bolt,0.13,0.07,0.2,-1.133,-1.742,-0.717 AutoETS,Sundial-Base,0.29,0.21,0.39,-0.945,-1.517,-0.545 AutoETS,Stat. Ensemble,0.245,0.165,0.33,-0.612,-1.072,-0.305 AutoETS,AutoARIMA,0.315,0.225,0.41,-0.616,-1.074,-0.308 AutoETS,AutoETS,0.5,0.5,0.5,0.0,0.0,0.0 AutoETS,AutoTheta,0.57,0.47,0.67,-0.384,-0.762,-0.111 AutoETS,Seasonal Naive,0.625,0.535,0.715,-0.27,-0.651,-0.012 AutoETS,Naive,0.76,0.68,0.84,0.059,-0.228,0.255 AutoETS,Drift,0.79,0.71,0.87,0.062,-0.223,0.256 AutoTheta,Chronos-2,0.02,0.0,0.05,-0.901,-1.124,-0.718 AutoTheta,TiRex,0.05,0.01,0.1,-0.728,-0.919,-0.575 AutoTheta,TimesFM-2.5,0.04,0.01,0.09,-0.73,-0.934,-0.567 AutoTheta,Toto-1.0,0.07,0.03,0.13,-0.676,-0.87,-0.517 AutoTheta,TabPFN-TS,0.06,0.02,0.11,-0.701,-0.889,-0.542 AutoTheta,Moirai-2.0,0.09,0.04,0.15,-0.642,-0.83,-0.491 AutoTheta,Chronos-Bolt,0.04,0.01,0.08,-0.622,-0.804,-0.477 AutoTheta,Sundial-Base,0.23,0.15,0.32,-0.473,-0.641,-0.333 AutoTheta,Stat. Ensemble,0.13,0.07,0.19,-0.178,-0.24,-0.124 AutoTheta,AutoARIMA,0.25,0.17,0.33,-0.203,-0.279,-0.135 AutoTheta,AutoETS,0.43,0.33,0.53,0.278,0.1,0.433 AutoTheta,AutoTheta,0.5,0.5,0.5,0.0,0.0,0.0 AutoTheta,Seasonal Naive,0.69,0.6,0.78,0.078,0.007,0.148 AutoTheta,Naive,0.85,0.78,0.92,0.338,0.277,0.392 AutoTheta,Drift,0.79,0.71,0.87,0.342,0.277,0.399 Seasonal Naive,Chronos-2,0.02,0.0,0.05,-1.063,-1.27,-0.883 Seasonal Naive,TiRex,0.01,0.0,0.04,-0.875,-1.061,-0.724 Seasonal Naive,TimesFM-2.5,0.01,0.0,0.03,-0.877,-1.074,-0.729 Seasonal Naive,Toto-1.0,0.04,0.01,0.08,-0.818,-1.003,-0.658 Seasonal Naive,TabPFN-TS,0.03,0.005,0.065,-0.846,-1.025,-0.7 Seasonal Naive,Moirai-2.0,0.07,0.03,0.13,-0.781,-0.961,-0.632 Seasonal Naive,Chronos-Bolt,0.03,0.0,0.06,-0.76,-0.929,-0.623 Seasonal Naive,Sundial-Base,0.09,0.04,0.15,-0.598,-0.753,-0.474 Seasonal Naive,Stat. Ensemble,0.165,0.105,0.23,-0.279,-0.376,-0.198 Seasonal Naive,AutoARIMA,0.12,0.07,0.175,-0.306,-0.403,-0.225 Seasonal Naive,AutoETS,0.375,0.285,0.465,0.213,0.012,0.394 Seasonal Naive,AutoTheta,0.31,0.22,0.4,-0.085,-0.174,-0.008 Seasonal Naive,Seasonal Naive,0.5,0.5,0.5,0.0,0.0,0.0 Seasonal Naive,Naive,0.685,0.61,0.755,0.281,0.208,0.351 Seasonal Naive,Drift,0.77,0.69,0.86,0.286,0.205,0.362 Naive,Chronos-2,0.02,0.0,0.05,-1.87,-2.255,-1.52 Naive,TiRex,0.01,0.0,0.04,-1.608,-1.963,-1.301 Naive,TimesFM-2.5,0.01,0.0,0.03,-1.611,-1.972,-1.293 Naive,Toto-1.0,0.03,0.0,0.07,-1.53,-1.877,-1.224 Naive,TabPFN-TS,0.03,0.0,0.07,-1.568,-1.912,-1.254 Naive,Moirai-2.0,0.05,0.01,0.1,-1.478,-1.816,-1.178 Naive,Chronos-Bolt,0.02,0.0,0.05,-1.449,-1.767,-1.16 Naive,Sundial-Base,0.09,0.04,0.15,-1.224,-1.535,-0.956 Naive,Stat. Ensemble,0.03,0.0,0.07,-0.779,-0.938,-0.629 Naive,AutoARIMA,0.09,0.04,0.15,-0.816,-0.997,-0.636 Naive,AutoETS,0.24,0.16,0.32,-0.063,-0.343,0.186 Naive,AutoTheta,0.15,0.08,0.22,-0.51,-0.644,-0.383 Naive,Seasonal Naive,0.315,0.245,0.39,-0.391,-0.54,-0.263 Naive,Naive,0.5,0.5,0.5,0.0,0.0,0.0 Naive,Drift,0.84,0.77,0.91,0.007,-0.018,0.028 Drift,Chronos-2,0.02,0.0,0.05,-1.889,-2.297,-1.517 Drift,TiRex,0.03,0.0,0.07,-1.626,-1.992,-1.31 Drift,TimesFM-2.5,0.03,0.0,0.07,-1.629,-2.005,-1.301 Drift,Toto-1.0,0.03,0.0,0.07,-1.547,-1.905,-1.228 Drift,TabPFN-TS,0.05,0.02,0.1,-1.585,-1.953,-1.257 Drift,Moirai-2.0,0.05,0.01,0.1,-1.495,-1.849,-1.182 Drift,Chronos-Bolt,0.02,0.0,0.05,-1.465,-1.797,-1.171 Drift,Sundial-Base,0.12,0.06,0.19,-1.239,-1.572,-0.95 Drift,Stat. Ensemble,0.03,0.0,0.07,-0.791,-0.961,-0.632 Drift,AutoARIMA,0.11,0.05,0.18,-0.828,-1.021,-0.649 Drift,AutoETS,0.21,0.13,0.29,-0.066,-0.344,0.183 Drift,AutoTheta,0.21,0.13,0.29,-0.52,-0.664,-0.384 Drift,Seasonal Naive,0.23,0.14,0.31,-0.401,-0.567,-0.258 Drift,Naive,0.16,0.09,0.23,-0.007,-0.029,0.018 Drift,Drift,0.5,0.5,0.5,0.0,0.0,0.0