% run_id: tailrisk_20160719_20260522_20260527T083659Z_commit_7f628ff4
% git_commit: 7f628ff4f66258a36314f492b652cdf7ef594b7e
% config_hash: 874b7125bfae77a6fb261d40af0f987d89e5bae1e5ebc54a3958be66f9c17b4c
% claim_scope: restricted_model_comparison_not_primary unless stated otherwise
\begin{tabular}{lllllrrr}
\toprule
family & axis & loss & info/model & side & tail & N & exc & metric \\
\midrule
information\_set\_ladder & information\_set\_increment & var\_coverage & JP only & right\_tail & 0.950000 & 527 & 51 & 0.046774 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP only & left\_tail & 0.950000 & 527 & 43 & 0.031594 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP only & right\_tail & 0.950000 & 490 & 22 & 0.005102 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP only & left\_tail & 0.950000 & 490 & 26 & 0.003061 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP only & left\_tail & 0.950000 & 526 & 19 & 0.013878 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP only & right\_tail & 0.950000 & 526 & 17 & 0.017681 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP only & left\_tail & 0.950000 & 526 & 19 & 0.013878 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP only & right\_tail & 0.950000 & 527 & 18 & 0.015844 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP only & left\_tail & 0.950000 & 474 & 24 & 0.000633 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP only & right\_tail & 0.950000 & 472 & 25 & 0.002966 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP only & right\_tail & 0.950000 & 472 & 29 & 0.011441 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP only & left\_tail & 0.950000 & 474 & 24 & 0.000633 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP only & right\_tail & 0.950000 & 471 & 18 & 0.011783 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP only & left\_tail & 0.950000 & 472 & 26 & 0.005085 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP only & right\_tail & 0.950000 & 473 & 20 & 0.007717 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP only & left\_tail & 0.950000 & 472 & 26 & 0.005085 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core & left\_tail & 0.950000 & 527 & 59 & 0.061954 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core & right\_tail & 0.950000 & 527 & 63 & 0.069545 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core & right\_tail & 0.950000 & 490 & 31 & 0.013265 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core & left\_tail & 0.950000 & 490 & 30 & 0.011224 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core & left\_tail & 0.950000 & 526 & 28 & 0.003232 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core & right\_tail & 0.950000 & 526 & 30 & 0.007034 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core & right\_tail & 0.950000 & 527 & 31 & 0.008824 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core & left\_tail & 0.950000 & 526 & 28 & 0.003232 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core & right\_tail & 0.950000 & 472 & 35 & 0.024153 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core & left\_tail & 0.950000 & 474 & 30 & 0.013291 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core & right\_tail & 0.950000 & 472 & 35 & 0.024153 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core & left\_tail & 0.950000 & 474 & 31 & 0.015401 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core & right\_tail & 0.950000 & 471 & 25 & 0.003079 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core & left\_tail & 0.950000 & 472 & 27 & 0.007203 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core & right\_tail & 0.950000 & 473 & 26 & 0.004968 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core & left\_tail & 0.950000 & 472 & 29 & 0.011441 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core + JP proxy & left\_tail & 0.950000 & 527 & 62 & 0.067647 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core + JP proxy & right\_tail & 0.950000 & 527 & 61 & 0.065750 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core + JP proxy & left\_tail & 0.950000 & 490 & 32 & 0.015306 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core + JP proxy & right\_tail & 0.950000 & 490 & 30 & 0.011224 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core + JP proxy & left\_tail & 0.950000 & 526 & 25 & 0.002471 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core + JP proxy & right\_tail & 0.950000 & 526 & 25 & 0.002471 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core + JP proxy & left\_tail & 0.950000 & 526 & 25 & 0.002471 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core + JP proxy & right\_tail & 0.950000 & 527 & 27 & 0.001233 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core + JP proxy & right\_tail & 0.950000 & 472 & 37 & 0.028390 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core + JP proxy & left\_tail & 0.950000 & 474 & 32 & 0.017511 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core + JP proxy & left\_tail & 0.950000 & 474 & 35 & 0.023840 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core + JP proxy & right\_tail & 0.950000 & 472 & 37 & 0.028390 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core + JP proxy & right\_tail & 0.950000 & 471 & 27 & 0.007325 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core + JP proxy & left\_tail & 0.950000 & 472 & 28 & 0.009322 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core + JP proxy & right\_tail & 0.950000 & 473 & 27 & 0.007082 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core + JP proxy & left\_tail & 0.950000 & 472 & 30 & 0.013559 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core + JP proxy + Asia proxy & left\_tail & 0.950000 & 527 & 62 & 0.067647 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core + JP proxy + Asia proxy & right\_tail & 0.950000 & 527 & 68 & 0.079032 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core + JP proxy + Asia proxy & left\_tail & 0.950000 & 490 & 35 & 0.021429 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core + JP proxy + Asia proxy & right\_tail & 0.950000 & 490 & 31 & 0.013265 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core + JP proxy + Asia proxy & right\_tail & 0.950000 & 526 & 31 & 0.008935 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core + JP proxy + Asia proxy & left\_tail & 0.950000 & 526 & 31 & 0.008935 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core + JP proxy + Asia proxy & right\_tail & 0.950000 & 527 & 31 & 0.008824 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core + JP proxy + Asia proxy & left\_tail & 0.950000 & 526 & 31 & 0.008935 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core + JP proxy + Asia proxy & right\_tail & 0.950000 & 472 & 36 & 0.026271 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core + JP proxy + Asia proxy & left\_tail & 0.950000 & 474 & 31 & 0.015401 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core + JP proxy + Asia proxy & right\_tail & 0.950000 & 472 & 36 & 0.026271 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core + JP proxy + Asia proxy & left\_tail & 0.950000 & 474 & 35 & 0.023840 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core + JP proxy + Asia proxy & left\_tail & 0.950000 & 472 & 31 & 0.015678 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core + JP proxy + Asia proxy & right\_tail & 0.950000 & 471 & 27 & 0.007325 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core + JP proxy + Asia proxy & left\_tail & 0.950000 & 472 & 31 & 0.015678 \\
information\_set\_ladder & information\_set\_increment & var\_coverage & JP + US close core + JP proxy + Asia proxy & right\_tail & 0.950000 & 473 & 27 & 0.007082 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP only & right\_tail & 0.950000 & 527 & 51 & -3.487426 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP only & left\_tail & 0.950000 & 527 & 43 & -3.489349 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP only & right\_tail & 0.950000 & 490 & 22 & -3.549508 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP only & left\_tail & 0.950000 & 490 & 26 & -3.550527 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP only & left\_tail & 0.950000 & 526 & 19 & -3.672430 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP only & right\_tail & 0.950000 & 526 & 17 & -3.729774 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP only & left\_tail & 0.950000 & 526 & 19 & -3.678126 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP only & right\_tail & 0.950000 & 527 & 18 & -3.737113 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP only & right\_tail & 0.950000 & 472 & 25 & -3.597774 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP only & left\_tail & 0.950000 & 474 & 24 & -3.619079 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP only & right\_tail & 0.950000 & 472 & 29 & -3.601361 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP only & left\_tail & 0.950000 & 474 & 24 & -3.620220 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP only & right\_tail & 0.950000 & 471 & 18 & -3.562014 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP only & left\_tail & 0.950000 & 472 & 26 & -3.528654 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP only & left\_tail & 0.950000 & 472 & 26 & -3.514928 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP only & right\_tail & 0.950000 & 473 & 20 & -3.571813 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core & left\_tail & 0.950000 & 527 & 59 & -3.668401 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core & right\_tail & 0.950000 & 527 & 63 & -3.486236 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core & left\_tail & 0.950000 & 490 & 30 & -4.024023 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core & right\_tail & 0.950000 & 490 & 31 & -3.949447 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core & right\_tail & 0.950000 & 526 & 30 & -3.948353 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core & left\_tail & 0.950000 & 526 & 28 & -4.135784 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core & left\_tail & 0.950000 & 526 & 28 & -4.108180 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core & right\_tail & 0.950000 & 527 & 31 & -3.941738 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core & left\_tail & 0.950000 & 474 & 30 & -4.130611 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core & right\_tail & 0.950000 & 472 & 35 & -3.966238 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core & right\_tail & 0.950000 & 472 & 35 & -3.959736 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core & left\_tail & 0.950000 & 474 & 31 & -4.159081 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core & right\_tail & 0.950000 & 471 & 25 & -3.967524 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core & left\_tail & 0.950000 & 472 & 27 & -4.085769 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core & right\_tail & 0.950000 & 473 & 26 & -3.972914 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core & left\_tail & 0.950000 & 472 & 29 & -4.078464 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core + JP proxy & right\_tail & 0.950000 & 527 & 61 & -3.557463 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core + JP proxy & left\_tail & 0.950000 & 527 & 62 & -3.868878 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core + JP proxy & right\_tail & 0.950000 & 490 & 30 & -4.008295 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core + JP proxy & left\_tail & 0.950000 & 490 & 32 & -4.128110 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core + JP proxy & left\_tail & 0.950000 & 526 & 25 & -4.198353 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core + JP proxy & right\_tail & 0.950000 & 526 & 25 & -3.929021 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core + JP proxy & right\_tail & 0.950000 & 527 & 27 & -3.882784 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core + JP proxy & left\_tail & 0.950000 & 526 & 25 & -4.252013 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core + JP proxy & right\_tail & 0.950000 & 472 & 37 & -4.060044 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core + JP proxy & left\_tail & 0.950000 & 474 & 32 & -4.310340 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core + JP proxy & left\_tail & 0.950000 & 474 & 35 & -4.281130 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core + JP proxy & right\_tail & 0.950000 & 472 & 37 & -4.041000 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core + JP proxy & right\_tail & 0.950000 & 471 & 27 & -4.010399 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core + JP proxy & left\_tail & 0.950000 & 472 & 28 & -4.146660 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core + JP proxy & left\_tail & 0.950000 & 472 & 30 & -4.126075 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core + JP proxy & right\_tail & 0.950000 & 473 & 27 & -4.018646 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core + JP proxy + Asia proxy & right\_tail & 0.950000 & 527 & 68 & -3.559147 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core + JP proxy + Asia proxy & left\_tail & 0.950000 & 527 & 62 & -3.807595 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core + JP proxy + Asia proxy & left\_tail & 0.950000 & 490 & 35 & -4.044514 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core + JP proxy + Asia proxy & right\_tail & 0.950000 & 490 & 31 & -3.898080 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core + JP proxy + Asia proxy & right\_tail & 0.950000 & 526 & 31 & -3.956723 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core + JP proxy + Asia proxy & left\_tail & 0.950000 & 526 & 31 & -4.205621 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core + JP proxy + Asia proxy & right\_tail & 0.950000 & 527 & 31 & -3.942804 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core + JP proxy + Asia proxy & left\_tail & 0.950000 & 526 & 31 & -4.188953 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core + JP proxy + Asia proxy & right\_tail & 0.950000 & 472 & 36 & -3.909397 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core + JP proxy + Asia proxy & left\_tail & 0.950000 & 474 & 31 & -4.269625 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core + JP proxy + Asia proxy & right\_tail & 0.950000 & 472 & 36 & -3.911851 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core + JP proxy + Asia proxy & left\_tail & 0.950000 & 474 & 35 & -4.259353 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core + JP proxy + Asia proxy & right\_tail & 0.950000 & 471 & 27 & -3.912137 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core + JP proxy + Asia proxy & left\_tail & 0.950000 & 472 & 31 & -4.082321 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core + JP proxy + Asia proxy & left\_tail & 0.950000 & 472 & 31 & -4.050321 \\
information\_set\_ladder & information\_set\_increment & var\_es\_fz\_loss & JP + US close core + JP proxy + Asia proxy & right\_tail & 0.950000 & 473 & 27 & -3.925779 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP only & left\_tail & 0.950000 & 527 & 43 & 0.001412 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP only & right\_tail & 0.950000 & 527 & 51 & 0.001310 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP only & left\_tail & 0.950000 & 490 & 26 & 0.001488 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP only & right\_tail & 0.950000 & 490 & 22 & 0.001362 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP only & right\_tail & 0.950000 & 526 & 17 & 0.001239 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP only & left\_tail & 0.950000 & 526 & 19 & 0.001393 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP only & left\_tail & 0.950000 & 526 & 19 & 0.001393 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP only & right\_tail & 0.950000 & 527 & 18 & 0.001229 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP only & right\_tail & 0.950000 & 472 & 25 & 0.001337 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP only & left\_tail & 0.950000 & 474 & 24 & 0.001478 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP only & left\_tail & 0.950000 & 474 & 24 & 0.001479 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP only & right\_tail & 0.950000 & 472 & 29 & 0.001342 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP only & left\_tail & 0.950000 & 472 & 26 & 0.001516 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP only & right\_tail & 0.950000 & 471 & 18 & 0.001376 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP only & left\_tail & 0.950000 & 472 & 26 & 0.001513 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP only & right\_tail & 0.950000 & 473 & 20 & 0.001372 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core & right\_tail & 0.950000 & 527 & 63 & 0.001252 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core & left\_tail & 0.950000 & 527 & 59 & 0.001158 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core & right\_tail & 0.950000 & 490 & 31 & 0.001061 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core & left\_tail & 0.950000 & 490 & 30 & 0.000990 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core & right\_tail & 0.950000 & 526 & 30 & 0.001074 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core & left\_tail & 0.950000 & 526 & 28 & 0.000965 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core & left\_tail & 0.950000 & 526 & 28 & 0.000960 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core & right\_tail & 0.950000 & 527 & 31 & 0.001076 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core & right\_tail & 0.950000 & 472 & 35 & 0.001131 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core & left\_tail & 0.950000 & 474 & 30 & 0.001059 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core & left\_tail & 0.950000 & 474 & 31 & 0.001063 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core & right\_tail & 0.950000 & 472 & 35 & 0.001130 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core & right\_tail & 0.950000 & 471 & 25 & 0.001059 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core & left\_tail & 0.950000 & 472 & 27 & 0.000992 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core & right\_tail & 0.950000 & 473 & 26 & 0.001054 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core & left\_tail & 0.950000 & 472 & 29 & 0.000994 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core + JP proxy & left\_tail & 0.950000 & 527 & 62 & 0.001114 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core + JP proxy & right\_tail & 0.950000 & 527 & 61 & 0.001211 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core + JP proxy & right\_tail & 0.950000 & 490 & 30 & 0.001024 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core + JP proxy & left\_tail & 0.950000 & 490 & 32 & 0.000990 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core + JP proxy & left\_tail & 0.950000 & 526 & 25 & 0.000904 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core + JP proxy & right\_tail & 0.950000 & 526 & 25 & 0.001041 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core + JP proxy & right\_tail & 0.950000 & 527 & 27 & 0.001048 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core + JP proxy & left\_tail & 0.950000 & 526 & 25 & 0.000908 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core + JP proxy & left\_tail & 0.950000 & 474 & 32 & 0.000966 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core + JP proxy & right\_tail & 0.950000 & 472 & 37 & 0.001082 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core + JP proxy & left\_tail & 0.950000 & 474 & 35 & 0.000980 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core + JP proxy & right\_tail & 0.950000 & 472 & 37 & 0.001085 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core + JP proxy & left\_tail & 0.950000 & 472 & 28 & 0.000991 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core + JP proxy & right\_tail & 0.950000 & 471 & 27 & 0.001034 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core + JP proxy & right\_tail & 0.950000 & 473 & 27 & 0.001032 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core + JP proxy & left\_tail & 0.950000 & 472 & 30 & 0.000998 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core + JP proxy + Asia proxy & left\_tail & 0.950000 & 527 & 62 & 0.001119 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core + JP proxy + Asia proxy & right\_tail & 0.950000 & 527 & 68 & 0.001222 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core + JP proxy + Asia proxy & right\_tail & 0.950000 & 490 & 31 & 0.001086 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core + JP proxy + Asia proxy & left\_tail & 0.950000 & 490 & 35 & 0.000988 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core + JP proxy + Asia proxy & left\_tail & 0.950000 & 526 & 31 & 0.000918 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core + JP proxy + Asia proxy & right\_tail & 0.950000 & 526 & 31 & 0.001045 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core + JP proxy + Asia proxy & right\_tail & 0.950000 & 527 & 31 & 0.001050 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core + JP proxy + Asia proxy & left\_tail & 0.950000 & 526 & 31 & 0.000915 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core + JP proxy + Asia proxy & right\_tail & 0.950000 & 472 & 36 & 0.001126 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core + JP proxy + Asia proxy & left\_tail & 0.950000 & 474 & 31 & 0.000993 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core + JP proxy + Asia proxy & left\_tail & 0.950000 & 474 & 35 & 0.001005 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core + JP proxy + Asia proxy & right\_tail & 0.950000 & 472 & 36 & 0.001127 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core + JP proxy + Asia proxy & left\_tail & 0.950000 & 472 & 31 & 0.000989 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core + JP proxy + Asia proxy & right\_tail & 0.950000 & 471 & 27 & 0.001091 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core + JP proxy + Asia proxy & left\_tail & 0.950000 & 472 & 31 & 0.001000 \\
information\_set\_ladder & information\_set\_increment & var\_quantile\_loss & JP + US close core + JP proxy + Asia proxy & right\_tail & 0.950000 & 473 & 27 & 0.001086 \\
tail\_model\_family & model\_family & var\_coverage & LGBM direct quantile & right\_tail & 0.950000 & 484 & 46 & 0.045041 \\
tail\_model\_family & model\_family & var\_coverage & LGBM direct quantile & left\_tail & 0.950000 & 484 & 43 & 0.038843 \\
tail\_model\_family & model\_family & var\_coverage & LGBM location-scale empirical & right\_tail & 0.950000 & 484 & 20 & 0.008678 \\
tail\_model\_family & model\_family & var\_coverage & LGBM location-scale empirical & left\_tail & 0.950000 & 484 & 27 & 0.005785 \\
tail\_model\_family & model\_family & var\_coverage & LGBM median/IQR POT-GPD plain MLE & right\_tail & 0.950000 & 484 & 14 & 0.021074 \\
tail\_model\_family & model\_family & var\_coverage & LGBM median/IQR POT-GPD plain MLE & left\_tail & 0.950000 & 484 & 20 & 0.008678 \\
tail\_model\_family & model\_family & var\_coverage & LGBM median/IQR POT-GPD UniBM block-maxima shape & right\_tail & 0.950000 & 484 & 15 & 0.019008 \\
tail\_model\_family & model\_family & var\_coverage & LGBM median/IQR POT-GPD UniBM block-maxima shape & left\_tail & 0.950000 & 484 & 20 & 0.008678 \\
tail\_model\_family & model\_family & var\_coverage & LGBM median/MAD POT-GPD plain MLE & left\_tail & 0.950000 & 484 & 25 & 0.001653 \\
tail\_model\_family & model\_family & var\_coverage & LGBM median/MAD POT-GPD plain MLE & right\_tail & 0.950000 & 484 & 25 & 0.001653 \\
tail\_model\_family & model\_family & var\_coverage & LGBM median/MAD POT-GPD UniBM block-maxima shape & left\_tail & 0.950000 & 484 & 25 & 0.001653 \\
tail\_model\_family & model\_family & var\_coverage & LGBM median/MAD POT-GPD UniBM block-maxima shape & right\_tail & 0.950000 & 484 & 29 & 0.009917 \\
tail\_model\_family & model\_family & var\_coverage & LGBM POT-GPD plain MLE & left\_tail & 0.950000 & 484 & 27 & 0.005785 \\
tail\_model\_family & model\_family & var\_coverage & LGBM POT-GPD plain MLE & right\_tail & 0.950000 & 484 & 18 & 0.012810 \\
tail\_model\_family & model\_family & var\_coverage & LGBM POT-GPD UniBM block-maxima shape & left\_tail & 0.950000 & 484 & 27 & 0.005785 \\
tail\_model\_family & model\_family & var\_coverage & LGBM POT-GPD UniBM block-maxima shape & right\_tail & 0.950000 & 484 & 20 & 0.008678 \\
tail\_model\_family & model\_family & var\_coverage & LGBM direct quantile & left\_tail & 0.950000 & 481 & 58 & 0.070582 \\
tail\_model\_family & model\_family & var\_coverage & LGBM direct quantile & right\_tail & 0.950000 & 482 & 58 & 0.070332 \\
tail\_model\_family & model\_family & var\_coverage & LGBM location-scale empirical & left\_tail & 0.950000 & 481 & 29 & 0.010291 \\
tail\_model\_family & model\_family & var\_coverage & LGBM location-scale empirical & right\_tail & 0.950000 & 482 & 26 & 0.003942 \\
tail\_model\_family & model\_family & var\_coverage & LGBM median/IQR POT-GPD plain MLE & left\_tail & 0.950000 & 481 & 27 & 0.006133 \\
tail\_model\_family & model\_family & var\_coverage & LGBM median/IQR POT-GPD plain MLE & right\_tail & 0.950000 & 482 & 28 & 0.008091 \\
tail\_model\_family & model\_family & var\_coverage & LGBM median/IQR POT-GPD UniBM block-maxima shape & right\_tail & 0.950000 & 482 & 29 & 0.010166 \\
tail\_model\_family & model\_family & var\_coverage & LGBM median/IQR POT-GPD UniBM block-maxima shape & left\_tail & 0.950000 & 481 & 27 & 0.006133 \\
tail\_model\_family & model\_family & var\_coverage & LGBM median/MAD POT-GPD plain MLE & left\_tail & 0.950000 & 481 & 31 & 0.014449 \\
tail\_model\_family & model\_family & var\_coverage & LGBM median/MAD POT-GPD plain MLE & right\_tail & 0.950000 & 482 & 35 & 0.022614 \\
tail\_model\_family & model\_family & var\_coverage & LGBM median/MAD POT-GPD UniBM block-maxima shape & left\_tail & 0.950000 & 481 & 32 & 0.016528 \\
tail\_model\_family & model\_family & var\_coverage & LGBM median/MAD POT-GPD UniBM block-maxima shape & right\_tail & 0.950000 & 482 & 35 & 0.022614 \\
tail\_model\_family & model\_family & var\_coverage & LGBM POT-GPD plain MLE & left\_tail & 0.950000 & 481 & 28 & 0.008212 \\
tail\_model\_family & model\_family & var\_coverage & LGBM POT-GPD plain MLE & right\_tail & 0.950000 & 482 & 25 & 0.001867 \\
tail\_model\_family & model\_family & var\_coverage & LGBM POT-GPD UniBM block-maxima shape & left\_tail & 0.950000 & 481 & 30 & 0.012370 \\
tail\_model\_family & model\_family & var\_coverage & LGBM POT-GPD UniBM block-maxima shape & right\_tail & 0.950000 & 482 & 26 & 0.003942 \\
tail\_model\_family & model\_family & var\_coverage & LGBM direct quantile & left\_tail & 0.950000 & 472 & 60 & 0.077119 \\
tail\_model\_family & model\_family & var\_coverage & LGBM direct quantile & right\_tail & 0.950000 & 473 & 56 & 0.068393 \\
tail\_model\_family & model\_family & var\_coverage & LGBM location-scale empirical & right\_tail & 0.950000 & 473 & 27 & 0.007082 \\
tail\_model\_family & model\_family & var\_coverage & LGBM location-scale empirical & left\_tail & 0.950000 & 472 & 30 & 0.013559 \\
tail\_model\_family & model\_family & var\_coverage & LGBM median/IQR POT-GPD plain MLE & left\_tail & 0.950000 & 472 & 23 & 0.001271 \\
tail\_model\_family & model\_family & var\_coverage & LGBM median/IQR POT-GPD plain MLE & right\_tail & 0.950000 & 473 & 23 & 0.001374 \\
tail\_model\_family & model\_family & var\_coverage & LGBM median/IQR POT-GPD UniBM block-maxima shape & left\_tail & 0.950000 & 472 & 23 & 0.001271 \\
tail\_model\_family & model\_family & var\_coverage & LGBM median/IQR POT-GPD UniBM block-maxima shape & right\_tail & 0.950000 & 473 & 23 & 0.001374 \\
tail\_model\_family & model\_family & var\_coverage & LGBM median/MAD POT-GPD plain MLE & right\_tail & 0.950000 & 473 & 37 & 0.028224 \\
tail\_model\_family & model\_family & var\_coverage & LGBM median/MAD POT-GPD plain MLE & left\_tail & 0.950000 & 472 & 32 & 0.017797 \\
tail\_model\_family & model\_family & var\_coverage & LGBM median/MAD POT-GPD UniBM block-maxima shape & left\_tail & 0.950000 & 472 & 35 & 0.024153 \\
tail\_model\_family & model\_family & var\_coverage & LGBM median/MAD POT-GPD UniBM block-maxima shape & right\_tail & 0.950000 & 473 & 37 & 0.028224 \\
tail\_model\_family & model\_family & var\_coverage & LGBM POT-GPD plain MLE & right\_tail & 0.950000 & 473 & 27 & 0.007082 \\
tail\_model\_family & model\_family & var\_coverage & LGBM POT-GPD plain MLE & left\_tail & 0.950000 & 472 & 28 & 0.009322 \\
tail\_model\_family & model\_family & var\_coverage & LGBM POT-GPD UniBM block-maxima shape & right\_tail & 0.950000 & 473 & 27 & 0.007082 \\
tail\_model\_family & model\_family & var\_coverage & LGBM POT-GPD UniBM block-maxima shape & left\_tail & 0.950000 & 472 & 30 & 0.013559 \\
tail\_model\_family & model\_family & var\_coverage & LGBM direct quantile & right\_tail & 0.950000 & 473 & 63 & 0.083192 \\
tail\_model\_family & model\_family & var\_coverage & LGBM direct quantile & left\_tail & 0.950000 & 472 & 60 & 0.077119 \\
tail\_model\_family & model\_family & var\_coverage & LGBM location-scale empirical & right\_tail & 0.950000 & 473 & 27 & 0.007082 \\
tail\_model\_family & model\_family & var\_coverage & LGBM location-scale empirical & left\_tail & 0.950000 & 472 & 33 & 0.019915 \\
tail\_model\_family & model\_family & var\_coverage & LGBM median/IQR POT-GPD plain MLE & left\_tail & 0.950000 & 472 & 29 & 0.011441 \\
tail\_model\_family & model\_family & var\_coverage & LGBM median/IQR POT-GPD plain MLE & right\_tail & 0.950000 & 473 & 29 & 0.011311 \\
tail\_model\_family & model\_family & var\_coverage & LGBM median/IQR POT-GPD UniBM block-maxima shape & left\_tail & 0.950000 & 472 & 29 & 0.011441 \\
tail\_model\_family & model\_family & var\_coverage & LGBM median/IQR POT-GPD UniBM block-maxima shape & right\_tail & 0.950000 & 473 & 28 & 0.009197 \\
tail\_model\_family & model\_family & var\_coverage & LGBM median/MAD POT-GPD plain MLE & right\_tail & 0.950000 & 473 & 36 & 0.026110 \\
tail\_model\_family & model\_family & var\_coverage & LGBM median/MAD POT-GPD plain MLE & left\_tail & 0.950000 & 472 & 31 & 0.015678 \\
tail\_model\_family & model\_family & var\_coverage & LGBM median/MAD POT-GPD UniBM block-maxima shape & left\_tail & 0.950000 & 472 & 35 & 0.024153 \\
tail\_model\_family & model\_family & var\_coverage & LGBM median/MAD POT-GPD UniBM block-maxima shape & right\_tail & 0.950000 & 473 & 36 & 0.026110 \\
tail\_model\_family & model\_family & var\_coverage & LGBM POT-GPD plain MLE & left\_tail & 0.950000 & 472 & 31 & 0.015678 \\
tail\_model\_family & model\_family & var\_coverage & LGBM POT-GPD plain MLE & right\_tail & 0.950000 & 473 & 27 & 0.007082 \\
tail\_model\_family & model\_family & var\_coverage & LGBM POT-GPD UniBM block-maxima shape & left\_tail & 0.950000 & 472 & 31 & 0.015678 \\
tail\_model\_family & model\_family & var\_coverage & LGBM POT-GPD UniBM block-maxima shape & right\_tail & 0.950000 & 473 & 27 & 0.007082 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM direct quantile & left\_tail & 0.950000 & 484 & 43 & -3.335044 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM direct quantile & right\_tail & 0.950000 & 484 & 46 & -3.474154 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM location-scale empirical & left\_tail & 0.950000 & 484 & 27 & -3.522673 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM location-scale empirical & right\_tail & 0.950000 & 484 & 20 & -3.582125 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM median/IQR POT-GPD plain MLE & left\_tail & 0.950000 & 484 & 20 & -3.615098 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM median/IQR POT-GPD plain MLE & right\_tail & 0.950000 & 484 & 14 & -3.698376 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM median/IQR POT-GPD UniBM block-maxima shape & left\_tail & 0.950000 & 484 & 20 & -3.623840 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM median/IQR POT-GPD UniBM block-maxima shape & right\_tail & 0.950000 & 484 & 15 & -3.705671 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM median/MAD POT-GPD plain MLE & left\_tail & 0.950000 & 484 & 25 & -3.597317 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM median/MAD POT-GPD plain MLE & right\_tail & 0.950000 & 484 & 25 & -3.610920 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM median/MAD POT-GPD UniBM block-maxima shape & right\_tail & 0.950000 & 484 & 29 & -3.613854 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM median/MAD POT-GPD UniBM block-maxima shape & left\_tail & 0.950000 & 484 & 25 & -3.598519 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM POT-GPD plain MLE & left\_tail & 0.950000 & 484 & 27 & -3.525293 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM POT-GPD plain MLE & right\_tail & 0.950000 & 484 & 18 & -3.576374 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM POT-GPD UniBM block-maxima shape & right\_tail & 0.950000 & 484 & 20 & -3.583150 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM POT-GPD UniBM block-maxima shape & left\_tail & 0.950000 & 484 & 27 & -3.511702 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM direct quantile & left\_tail & 0.950000 & 481 & 58 & -3.494609 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM direct quantile & right\_tail & 0.950000 & 482 & 58 & -3.431213 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM location-scale empirical & left\_tail & 0.950000 & 481 & 29 & -4.055239 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM location-scale empirical & right\_tail & 0.950000 & 482 & 26 & -3.986638 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM median/IQR POT-GPD plain MLE & left\_tail & 0.950000 & 481 & 27 & -4.048051 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM median/IQR POT-GPD plain MLE & right\_tail & 0.950000 & 482 & 28 & -3.918221 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM median/IQR POT-GPD UniBM block-maxima shape & left\_tail & 0.950000 & 481 & 27 & -4.018116 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM median/IQR POT-GPD UniBM block-maxima shape & right\_tail & 0.950000 & 482 & 29 & -3.906149 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM median/MAD POT-GPD plain MLE & left\_tail & 0.950000 & 481 & 31 & -4.100194 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM median/MAD POT-GPD plain MLE & right\_tail & 0.950000 & 482 & 35 & -3.986650 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM median/MAD POT-GPD UniBM block-maxima shape & right\_tail & 0.950000 & 482 & 35 & -3.978676 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM median/MAD POT-GPD UniBM block-maxima shape & left\_tail & 0.950000 & 481 & 32 & -4.130774 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM POT-GPD plain MLE & right\_tail & 0.950000 & 482 & 25 & -3.982679 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM POT-GPD plain MLE & left\_tail & 0.950000 & 481 & 28 & -4.073659 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM POT-GPD UniBM block-maxima shape & right\_tail & 0.950000 & 482 & 26 & -3.967533 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM POT-GPD UniBM block-maxima shape & left\_tail & 0.950000 & 481 & 30 & -4.065686 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM direct quantile & right\_tail & 0.950000 & 473 & 56 & -3.494095 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM direct quantile & left\_tail & 0.950000 & 472 & 60 & -3.755112 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM location-scale empirical & right\_tail & 0.950000 & 473 & 27 & -4.023826 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM location-scale empirical & left\_tail & 0.950000 & 472 & 30 & -4.139523 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM median/IQR POT-GPD plain MLE & right\_tail & 0.950000 & 473 & 23 & -3.873403 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM median/IQR POT-GPD plain MLE & left\_tail & 0.950000 & 472 & 23 & -4.169985 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM median/IQR POT-GPD UniBM block-maxima shape & right\_tail & 0.950000 & 473 & 23 & -3.876862 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM median/IQR POT-GPD UniBM block-maxima shape & left\_tail & 0.950000 & 472 & 23 & -4.222181 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM median/MAD POT-GPD plain MLE & left\_tail & 0.950000 & 472 & 32 & -4.301425 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM median/MAD POT-GPD plain MLE & right\_tail & 0.950000 & 473 & 37 & -4.085941 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM median/MAD POT-GPD UniBM block-maxima shape & right\_tail & 0.950000 & 473 & 37 & -4.057930 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM median/MAD POT-GPD UniBM block-maxima shape & left\_tail & 0.950000 & 472 & 35 & -4.272297 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM POT-GPD plain MLE & left\_tail & 0.950000 & 472 & 28 & -4.148175 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM POT-GPD plain MLE & right\_tail & 0.950000 & 473 & 27 & -4.018017 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM POT-GPD UniBM block-maxima shape & right\_tail & 0.950000 & 473 & 27 & -4.012614 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM POT-GPD UniBM block-maxima shape & left\_tail & 0.950000 & 472 & 30 & -4.128311 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM direct quantile & right\_tail & 0.950000 & 473 & 63 & -3.484112 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM direct quantile & left\_tail & 0.950000 & 472 & 60 & -3.680038 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM location-scale empirical & left\_tail & 0.950000 & 472 & 33 & -4.042856 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM location-scale empirical & right\_tail & 0.950000 & 473 & 27 & -3.932419 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM median/IQR POT-GPD plain MLE & left\_tail & 0.950000 & 472 & 29 & -4.168704 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM median/IQR POT-GPD plain MLE & right\_tail & 0.950000 & 473 & 29 & -3.926450 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM median/IQR POT-GPD UniBM block-maxima shape & left\_tail & 0.950000 & 472 & 29 & -4.158739 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM median/IQR POT-GPD UniBM block-maxima shape & right\_tail & 0.950000 & 473 & 28 & -3.926228 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM median/MAD POT-GPD plain MLE & left\_tail & 0.950000 & 472 & 31 & -4.260317 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM median/MAD POT-GPD plain MLE & right\_tail & 0.950000 & 473 & 36 & -3.923032 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM median/MAD POT-GPD UniBM block-maxima shape & right\_tail & 0.950000 & 473 & 36 & -3.921147 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM median/MAD POT-GPD UniBM block-maxima shape & left\_tail & 0.950000 & 472 & 35 & -4.251191 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM POT-GPD plain MLE & left\_tail & 0.950000 & 472 & 31 & -4.082373 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM POT-GPD plain MLE & right\_tail & 0.950000 & 473 & 27 & -3.924620 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM POT-GPD UniBM block-maxima shape & left\_tail & 0.950000 & 472 & 31 & -4.048355 \\
tail\_model\_family & model\_family & var\_es\_fz\_loss & LGBM POT-GPD UniBM block-maxima shape & right\_tail & 0.950000 & 473 & 27 & -3.912173 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM direct quantile & left\_tail & 0.950000 & 484 & 43 & 0.001509 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM direct quantile & right\_tail & 0.950000 & 484 & 46 & 0.001344 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM location-scale empirical & right\_tail & 0.950000 & 484 & 20 & 0.001358 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM location-scale empirical & left\_tail & 0.950000 & 484 & 27 & 0.001516 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM median/IQR POT-GPD plain MLE & left\_tail & 0.950000 & 484 & 20 & 0.001463 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM median/IQR POT-GPD plain MLE & right\_tail & 0.950000 & 484 & 14 & 0.001279 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM median/IQR POT-GPD UniBM block-maxima shape & left\_tail & 0.950000 & 484 & 20 & 0.001463 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM median/IQR POT-GPD UniBM block-maxima shape & right\_tail & 0.950000 & 484 & 15 & 0.001268 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM median/MAD POT-GPD plain MLE & left\_tail & 0.950000 & 484 & 25 & 0.001490 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM median/MAD POT-GPD plain MLE & right\_tail & 0.950000 & 484 & 25 & 0.001330 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM median/MAD POT-GPD UniBM block-maxima shape & left\_tail & 0.950000 & 484 & 25 & 0.001491 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM median/MAD POT-GPD UniBM block-maxima shape & right\_tail & 0.950000 & 484 & 29 & 0.001334 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM POT-GPD plain MLE & left\_tail & 0.950000 & 484 & 27 & 0.001520 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM POT-GPD plain MLE & right\_tail & 0.950000 & 484 & 18 & 0.001369 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM POT-GPD UniBM block-maxima shape & left\_tail & 0.950000 & 484 & 27 & 0.001516 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM POT-GPD UniBM block-maxima shape & right\_tail & 0.950000 & 484 & 20 & 0.001363 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM direct quantile & right\_tail & 0.950000 & 482 & 58 & 0.001301 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM direct quantile & left\_tail & 0.950000 & 481 & 58 & 0.001246 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM location-scale empirical & right\_tail & 0.950000 & 482 & 26 & 0.001052 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM location-scale empirical & left\_tail & 0.950000 & 481 & 29 & 0.001002 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM median/IQR POT-GPD plain MLE & right\_tail & 0.950000 & 482 & 28 & 0.001106 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM median/IQR POT-GPD plain MLE & left\_tail & 0.950000 & 481 & 27 & 0.001028 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM median/IQR POT-GPD UniBM block-maxima shape & right\_tail & 0.950000 & 482 & 29 & 0.001110 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM median/IQR POT-GPD UniBM block-maxima shape & left\_tail & 0.950000 & 481 & 27 & 0.001022 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM median/MAD POT-GPD plain MLE & right\_tail & 0.950000 & 482 & 35 & 0.001121 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM median/MAD POT-GPD plain MLE & left\_tail & 0.950000 & 481 & 31 & 0.001070 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM median/MAD POT-GPD UniBM block-maxima shape & right\_tail & 0.950000 & 482 & 35 & 0.001121 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM median/MAD POT-GPD UniBM block-maxima shape & left\_tail & 0.950000 & 481 & 32 & 0.001074 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM POT-GPD plain MLE & right\_tail & 0.950000 & 482 & 25 & 0.001052 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM POT-GPD plain MLE & left\_tail & 0.950000 & 481 & 28 & 0.000998 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM POT-GPD UniBM block-maxima shape & right\_tail & 0.950000 & 482 & 26 & 0.001048 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM POT-GPD UniBM block-maxima shape & left\_tail & 0.950000 & 481 & 30 & 0.001000 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM direct quantile & left\_tail & 0.950000 & 472 & 60 & 0.001186 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM direct quantile & right\_tail & 0.950000 & 473 & 56 & 0.001267 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM location-scale empirical & left\_tail & 0.950000 & 472 & 30 & 0.000999 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM location-scale empirical & right\_tail & 0.950000 & 473 & 27 & 0.001028 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM median/IQR POT-GPD plain MLE & right\_tail & 0.950000 & 473 & 23 & 0.001078 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM median/IQR POT-GPD plain MLE & left\_tail & 0.950000 & 472 & 23 & 0.000942 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM median/IQR POT-GPD UniBM block-maxima shape & left\_tail & 0.950000 & 472 & 23 & 0.000944 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM median/IQR POT-GPD UniBM block-maxima shape & right\_tail & 0.950000 & 473 & 23 & 0.001078 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM median/MAD POT-GPD plain MLE & right\_tail & 0.950000 & 473 & 37 & 0.001082 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM median/MAD POT-GPD plain MLE & left\_tail & 0.950000 & 472 & 32 & 0.000968 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM median/MAD POT-GPD UniBM block-maxima shape & right\_tail & 0.950000 & 473 & 37 & 0.001085 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM median/MAD POT-GPD UniBM block-maxima shape & left\_tail & 0.950000 & 472 & 35 & 0.000982 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM POT-GPD plain MLE & left\_tail & 0.950000 & 472 & 28 & 0.000991 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM POT-GPD plain MLE & right\_tail & 0.950000 & 473 & 27 & 0.001035 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM POT-GPD UniBM block-maxima shape & right\_tail & 0.950000 & 473 & 27 & 0.001033 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM POT-GPD UniBM block-maxima shape & left\_tail & 0.950000 & 472 & 30 & 0.000998 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM direct quantile & left\_tail & 0.950000 & 472 & 60 & 0.001194 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM direct quantile & right\_tail & 0.950000 & 473 & 63 & 0.001283 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM location-scale empirical & left\_tail & 0.950000 & 472 & 33 & 0.000999 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM location-scale empirical & right\_tail & 0.950000 & 473 & 27 & 0.001089 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM median/IQR POT-GPD plain MLE & right\_tail & 0.950000 & 473 & 29 & 0.001077 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM median/IQR POT-GPD plain MLE & left\_tail & 0.950000 & 472 & 29 & 0.000958 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM median/IQR POT-GPD UniBM block-maxima shape & right\_tail & 0.950000 & 473 & 28 & 0.001080 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM median/IQR POT-GPD UniBM block-maxima shape & left\_tail & 0.950000 & 472 & 29 & 0.000954 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM median/MAD POT-GPD plain MLE & left\_tail & 0.950000 & 472 & 31 & 0.000995 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM median/MAD POT-GPD plain MLE & right\_tail & 0.950000 & 473 & 36 & 0.001125 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM median/MAD POT-GPD UniBM block-maxima shape & left\_tail & 0.950000 & 472 & 35 & 0.001007 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM median/MAD POT-GPD UniBM block-maxima shape & right\_tail & 0.950000 & 473 & 36 & 0.001126 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM POT-GPD plain MLE & left\_tail & 0.950000 & 472 & 31 & 0.000989 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM POT-GPD plain MLE & right\_tail & 0.950000 & 473 & 27 & 0.001090 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM POT-GPD UniBM block-maxima shape & left\_tail & 0.950000 & 472 & 31 & 0.001000 \\
tail\_model\_family & model\_family & var\_quantile\_loss & LGBM POT-GPD UniBM block-maxima shape & right\_tail & 0.950000 & 473 & 27 & 0.001086 \\
\midrule
\multicolumn{9}{l}{\footnotesize Visible notes: restricted result matrix; lower metric is better for quantile loss, FZ loss, and absolute coverage error; block-bootstrap DM appears only when registered sample and exception gates pass; these rows do not replace the primary ML table.} \\
\bottomrule
\end{tabular}
