Computational and Mathematical Methods / 2022 / Article / Tab 1 / Research Article
The Use of Generalized Means in the Estimation of the Weibull Tail Coefficient Table 1 Simulated optimal sample fraction (OSF),
mean value, and RMSE (both computed at the optimal level) of
for
0, and
and
from
underlying parents (
100 200 500 1000 2000 5000 OSF 0.4400 0.3100 0.3180 0.4010 0.3770 0.3640 0.4500 0.4100 0.3760 0.4190 0.3545 0.1760 0.4500 0.3800 0.2780 0.1720 0.1060 0.0560 0.1100 0.0900 0.0460 0.0320 0.0240 0.0128 0.0900 0.0600 0.0360 0.0240 0.0180 0.0092 0.5100 0.5200 0.5380 0.4950 0.4910 0.5282 0.6800 0.7300 0.6600 0.6970 0.6885 0.7168 1.4161 1.1002 0.9992 0.9725 0.9595 0.9534 1.0909 0.9881 0.9409 0.9243 0.9185 0.9210 0.9178 0.8809 0.8668 0.8749 0.8805 0.8883 0.7569 0.7641 0.7967 0.8111 0.8198 0.8386 0.7064 0.7369 0.7684 0.7893 0.8011 0.8252 1.0293 1.0146 1.0060 1.0030 1.0013 1.0005 1.0134 1.0074 1.0026 1.0011 1.0002 1.0001 RMSE 1.7097 0.5313 0.2484 0.1653 0.1178 0.0831 0.5842 0.3074 0.1815 0.1390 0.1151 0.0981 0.3113 0.2258 0.1797 0.1587 0.1446 0.1295 0.3124 0.2817 0.2488 0.2262 0.2076 0.1860 0.3421 0.3100 0.2725 0.2474 0.2267 0.2023 0.2130 0.1464 0.0908 0.0643 0.0454 0.0286 0.1231 0.0860 0.0541 0.0382 0.0270 0.0170
