\(n\) | Distribution | Method | Empirical Power | ||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
\(\mu_{R} - \mu_{P} = 9\) | \(\mu_{R} - \mu_{P} = 15\) | \(\mu_{R} - \mu_{P} = 20\) | |||||||||
\(\xi = 1.0\) | \(\xi = 1.2\) | \(\xi = 1.4\) | \(\xi = 1.0\) | \(\xi = 1.2\) | \(\xi = 1.4\) | \(\xi = 1.0\) | \(\xi = 1.2\) | \(\xi = 1.4\) | |||
60 | Log-Normal | GP | 0.3079 | 0.7160 | 0.8848 | 0.6654 | 0.9851 | 0.9989 | 0.8611 | 1.0000 | 1.0000 |
DM | 0.0152 | 0.0909 | 0.2677 | 0.0865 | 0.4726 | 0.8104 | 0.2192 | 0.7912 | 0.9597 | ||
EB | 0.1191 | 0.3382 | 0.5064 | 0.5418 | 0.9236 | 0.9418 | 0.8355 | 0.9945 | 0.9982 | ||
Gamma | GP | 0.3094 | 0.7365 | 0.9272 | 0.6693 | 0.9923 | 1.0000 | 0.8633 | 1.0000 | 1.0000 | |
DM | 0.0028 | 0.0293 | 0.1402 | 0.0381 | 0.4006 | 0.8595 | 0.1407 | 0.8306 | 0.9954 | ||
EB | 0.0709 | 0.2855 | 0.5027 | 0.5600 | 0.9609 | 0.9891 | 0.8473 | 1.0000 | 1.0000 | ||
90 | Log-Normal | GP | 0.4379 | 0.8865 | 0.9702 | 0.8122 | 0.9998 | 0.9999 | 0.9557 | 1.0000 | 1.0000 |
DM | 0.0193 | 0.1580 | 0.4436 | 0.1358 | 0.6888 | 0.9431 | 0.3426 | 0.9290 | 0.9933 | ||
EB | 0.2055 | 0.5691 | 0.7400 | 0.7500 | 0.9873 | 0.9891 | 0.9527 | 1.0000 | 1.0000 | ||
Gamma | GP | 0.399 | 0.9124 | 0.9938 | 0.8187 | 1.0000 | 1.0000 | 0.9570 | 1.0000 | 1.0000 | |
DM | 0.0049 | 0.0692 | 0.3275 | 0.0683 | 0.6989 | 0.9909 | 0.2578 | 0.9823 | 1.0000 | ||
EB | 0.1836 | 0.5627 | 0.7852 | 0.7491 | 1.0000 | 1.0000 | 0.9536 | 1.0000 | 1.0000 | ||
120 | Log-Normal | GP | 0.5436 | 0.9553 | 0.9905 | 0.9015 | 1.0000 | 1.0000 | 0.9871 | 1.0000 | 1.0000 |
DM | 0.0227 | 0.2394 | 0.5978 | 0.1973 | 0.8442 | 0.9850 | 0.4811 | 0.9832 | 0.9997 | ||
EB | 0.3073 | 0.7709 | 0.8609 | 0.8891 | 0.9982 | 1.0000 | 0.9836 | 1.0000 | 1.0000 | ||
Gamma | GP | 0.5501 | 0.9717 | 0.9912 | 0.9030 | 1.0000 | 1.0000 | 0.9880 | 1.0000 | 1.0000 | |
DM | 0.0069 | 0.1382 | 0.5777 | 0.1279 | 0.9057 | 1.0000 | 0.4276 | 0.9990 | 1.0000 | ||
EB | 0.3082 | 0.8109 | 0.9173 | 0.8818 | 1.0000 | 1.0000 | 0.9818 | 1.0000 | 1.0000 | ||
480 | Log-Normal | GP | 0.9716 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 |
DM | 0.2765 | 0.9837 | 1.0000 | 0.9365 | 1.0000 | 1.0000 | 0.9993 | 1.0000 | 1.0000 | ||
EB | 0.9709 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | ||
Gamma | GP | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | |
DM | 0.2349 | 0.9957 | 1.0000 | 0.9607 | 1.0000 | 1.0000 | 0.9999 | 1.0000 | 1.0000 | ||
EB | 0.9709 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | ||
900 | Log-Normal | GP | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 |
DM | 0.7449 | 1.0000 | 1.0000 | 0.9999 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | ||
EB | 0.9991 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | ||
Gamma | GP | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | |
DM | 0.7498 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | ||
EB | 0.9982 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 |