Research Article

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

Table 3

Simulated optimal sample fraction (OSF), , mean value, and RMSE (both computed at the optimal level) of for , , , , and , , and from (2,1) underlying parents ().

100200500100020005000

OSF
0.45000.41000.37600.41900.35450.1760
0.45000.41000.34800.21100.14300.0754
0.30000.20000.10400.06800.04550.0306
0.11000.09000.04600.03200.02400.0128
0.10000.07000.04400.03000.01900.0106
0.24000.16500.10400.06800.05500.0312
0.68000.73000.66000.69700.68850.7168
0.54540.49410.47040.46220.45920.4605
0.47860.45340.44130.44290.44460.4476
0.40980.41160.42070.42490.42880.4322
0.37850.38200.39840.40550.40990.4193
0.36640.37740.38960.39870.40720.4164
0.41030.42030.43040.43790.44050.4480
0.50670.50370.50130.50060.50010.5000
RMSE
0.29210.15370.09080.06950.05760.0491
0.17500.11680.08670.07560.06780.0608
0.13700.11980.10280.09350.08560.0770
0.15620.14090.12440.11310.10380.0930
0.16270.14750.13000.11820.10830.0970
0.12350.10710.09000.08000.07150.0623
0.06150.04300.02710.01910.01350.0085