Research Article

The Use of Generalized Means in the Estimation of the Weibull Tail Coefficient

Table 4

Simulated optimal sample fraction (OSF), , mean value, and RMSE (both computed at the optimal level) of for , , , , and , , and from half-normal underlying parents ().

100200500100020005000

OSF
0.45000.45000.46400.52600.56450.6842
0.53000.46500.46400.44800.39200.3692
0.46000.38000.34000.28100.24600.2200
0.29000.23000.19000.14400.11600.0922
0.19000.15500.11000.09200.07500.0532
0.34000.26500.19400.12500.09000.0460
0.21000.16000.09600.05500.04350.0210
0.53670.52620.52020.51640.51440.5103
0.50290.49910.49460.49430.49750.4986
0.47780.48180.48400.48910.49220.4945
0.45710.46590.47140.48030.48540.4901
0.44200.45130.46430.46990.47520.4830
0.62120.60810.59760.58970.58470.5772
0.70790.68880.66570.64920.64010.6260
RMSE
0.11910.08140.05120.03770.02800.0195
0.09850.06780.04190.03000.02150.0137
0.08780.06370.04300.03200.02370.0157
0.08730.06940.05070.03980.03110.0220
0.09610.07920.06050.04890.03960.0295
0.17320.14100.11600.10410.09480.0856
0.24780.21650.18520.16700.15210.1368