Table 3.
Bias, percentage bias, and coverage of estimates of log(
log(S(t))) when
and 
| Time | Model | Scenario 1 | Scenario 2 | Scenario 3 | Scenario 4 | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Bias |
Bias |
Cov. |
Conv. |
Bias |
Bias |
Cov. |
Conv. |
Bias |
Bias |
Cov. |
Conv. |
Bias |
Bias |
Cov. |
Conv. |
||
| 1 | Weibull | 0.218 |
9.5 |
19.6 | 1000 |
0.020 |
. | 92.2 | 1000 | 0.136 |
13.0 |
36.2 | 1000 |
0.009 |
0.4 | 95.2 | 1000 |
| 2 | Weibull |
0.154 |
39.8 | 15.7 | 1000 |
0.134 |
21.1 |
18.4 | 1000 | 0.185 |
36.0 |
4.5 | 1000 |
0.006 |
0.4 | 95.8 | 1000 |
| 3 | Weibull |
0.224 |
38.2 |
1.4 | 1000 |
0.065 |
7.4 |
70.7 | 1000 | 0.106 |
110.5 |
40.2 | 1000 |
0.004 |
0.4 | 96.2 | 1000 |
| 4 | Weibull | 0.082 | 8.9 | 57.8 | 1000 | 0.035 | 3.5 | 86.7 | 1000 |
0.019 |
7.1 |
95.7 | 1000 |
0.003 |
0.5 | 96.4 | 1000 |
| 5 | Weibull | 0.427 | 39.8 | 0.0 | 1000 | 0.118 | 11.0 | 39.1 | 1000 |
0.104 |
19.2 |
47.6 | 1000 |
0.002 |
0.5 | 96.1 | 1000 |
| 1 | Gamma | 0.063 |
2.7 |
87.3 | 1000 |
0.056 |
. | 79.9 | 1000 | 0.007 |
0.7 |
87.7 | 929 |
0.006 |
0.3 | 95.3 | 1000 |
| 2 | Gamma |
0.027 |
7.0 | 94.0 | 1000 |
0.146 |
22.9 |
14.6 | 1000 | 0.048 |
9.3 |
77.2 | 929 |
0.007 |
0.5 | 94.4 | 1000 |
| 3 | Gamma |
0.143 |
24.4 |
14.4 | 1000 |
0.051 |
5.8 |
77.7 | 1000 | 0.018 |
18.8 |
86.0 | 929 |
0.007 |
0.7 | 93.9 | 1000 |
| 4 | Gamma | 0.056 | 6.1 | 72.4 | 1000 | 0.074 | 7.5 | 68.1 | 1000 |
0.024 |
8.9 |
83.2 | 929 |
0.006 |
0.9 | 95.2 | 1000 |
| 5 | Gamma | 0.283 | 26.4 | 0.1 | 1000 | 0.180 | 16.7 | 16.1 | 1000 | 0.005 | 0.9 | 88.4 | 929 |
0.002 |
0.5 | 96.1 | 1000 |
| 1 | GenF | 0.006 |
0.3 |
92.9 | 990 | 0.001 | . | 67.4 | 707 | 0.007 |
0.7 |
25.7 | 295 |
0.006 |
0.3 | 69.4 | 779 |
| 2 | GenF | 0.004 |
1.0 |
95.6 | 997 |
0.018 |
2.8 |
66.7 | 713 | 0.049 |
9.5 |
31.3 | 380 | 0.000 | 0.0 | 71.0 | 801 |
| 3 | GenF |
0.037 |
6.3 |
85.1 | 997 |
0.003 |
0.3 |
67.4 | 713 | 0.042 |
43.8 |
52.1 | 628 | 0.005 |
0.5 |
73.9 | 841 |
| 4 | GenF | 0.026 | 2.8 | 88.3 | 997 | 0.028 | 2.8 | 63.9 | 713 | 0.056 | 20.8 | 54.6 | 868 | 0.011 |
1.7 |
75.2 | 873 |
| 5 | GenF | 0.103 | 9.6 | 48.7 | 997 | 0.043 | 4.0 | 60.5 | 713 | 0.055 | 10.2 | 55.9 | 907 | 0.000 | 0.0 | 76.2 | 874 |
| 1 | FPAFT-df=2 | 0.032 |
1.4 |
87.3 | 1000 |
0.073 |
. | 67.5 | 1000 | 0.041 |
3.9 |
88.6 | 1000 |
0.009 |
0.4 | 94.5 | 1000 |
| 2 | FPAFT-df=2 | 0.050 |
12.9 |
85.6 | 1000 |
0.140 |
22.0 |
17.4 | 1000 | 0.128 |
24.9 |
29.7 | 1000 |
0.003 |
0.2 | 95.7 | 1000 |
| 3 | FPAFT-df=2 |
0.104 |
17.7 |
37.0 | 1000 |
0.036 |
4.1 |
83.1 | 1000 | 0.091 |
94.9 |
52.7 | 1000 |
0.002 |
0.2 | 96.4 | 1000 |
| 4 | FPAFT-df=2 | 0.028 | 3.0 | 85.1 | 1000 | 0.091 | 9.2 | 57.1 | 1000 | 0.001 | 0.4 | 96.3 | 1000 |
0.002 |
0.3 | 96.7 | 1000 |
| 5 | FPAFT-df=2 | 0.209 | 19.5 | 12.7 | 1000 | 0.195 | 18.1 | 9.2 | 1000 |
0.055 |
10.2 |
83.3 | 1000 |
0.002 |
0.5 | 96.0 | 1000 |
| 1 | FPAFT-df=3 | 0.013 |
0.6 |
95.0 | 1000 | 0.049 | . | 85.5 | 1000 |
0.001 |
0.1 | 96.6 | 1000 |
0.007 |
0.3 | 94.6 | 1000 |
| 2 | FPAFT-df=3 |
0.005 |
1.3 | 94.1 | 1000 |
0.058 |
9.1 |
78.9 | 1000 | 0.002 |
0.4 |
94.1 | 1000 |
0.003 |
0.2 | 95.5 | 1000 |
| 3 | FPAFT-df=3 |
0.000 |
0.0 | 95.0 | 1000 |
0.026 |
3.0 |
90.1 | 1000 |
0.001 |
1.0 | 93.3 | 1000 |
0.003 |
0.3 | 96.1 | 1000 |
| 4 | FPAFT-df=3 | 0.011 | 1.2 | 93.9 | 1000 | 0.037 | 3.7 | 86.6 | 1000 |
0.012 |
4.5 |
92.9 | 1000 |
0.003 |
0.5 | 95.8 | 1000 |
| 5 | FPAFTdf=3 | 0.007 | 0.7 | 94.3 | 1000 | 0.090 | 8.4 | 65.5 | 1000 | 0.007 | 1.3 | 94.1 | 1000 |
0.002 |
0.5 | 95.9 | 1000 |
| 1 | FPAFT-df=4 | 0.002 |
0.1 |
95.7 | 1000 |
0.006 |
. | 91.8 | 1000 |
0.010 |
1.0 | 95.1 | 1000 |
0.006 |
0.3 | 95.0 | 1000 |
| 2 | FPAFT-df=4 | 0.001 |
0.3 |
95.7 | 1000 |
0.003 |
0.5 |
93.8 | 1000 | 0.008 |
1.6 |
95.4 | 1000 |
0.003 |
0.2 | 95.6 | 1000 |
| 3 | FPAFT-df=4 |
0.005 |
0.9 |
94.6 | 1000 |
0.006 |
0.7 |
95.0 | 1000 |
0.001 |
1.0 | 95.6 | 1000 |
0.004 |
0.4 | 96.1 | 1000 |
| 4 | FPAFT-df=4 | 0.020 | 2.2 | 91.6 | 1000 | 0.004 | 0.4 | 94.2 | 1000 |
0.015 |
5.6 |
93.6 | 1000 |
0.003 |
0.5 | 95.4 | 1000 |
| 5 | FPAFT-df=4 | 0.010 | 0.9 | 94.4 | 1000 | 0.008 | 0.7 | 94.3 | 1000 | 0.008 | 1.5 | 94.4 | 1000 |
0.003 |
0.8 | 96.1 | 1000 |
| 1 | FPAFT-df=5 | 0.004 |
0.2 |
95.4 | 1000 |
0.002 |
. | 94.7 | 1000 | 0.001 |
0.1 |
95.6 | 1000 |
0.007 |
0.3 | 94.9 | 1000 |
| 2 | FPAFT-df=5 |
0.001 |
0.3 | 95.5 | 1000 |
0.001 |
0.2 |
93.9 | 1000 | 0.000 | 0.0 | 95.0 | 1000 |
0.005 |
0.3 | 95.0 | 1000 |
| 3 | FPAFT-df=5 |
0.003 |
0.5 |
95.5 | 1000 |
0.002 |
0.2 |
94.4 | 1000 | 0.007 |
7.3 |
94.8 | 1000 |
0.005 |
0.5 | 94.5 | 1000 |
| 4 | FPAFT-df=5 | 0.017 | 1.8 | 93.2 | 1000 | 0.004 | 0.4 | 94.4 | 1000 |
0.006 |
2.2 |
94.2 | 1000 |
0.005 |
0.8 | 94.0 | 1000 |
| 5 | FPAFT-df=5 | 0.009 | 0.8 | 94.6 | 1000 | 0.005 | 0.5 | 94.1 | 1000 | 0.004 | 0.7 | 94.9 | 1000 |
0.004 |
1.1 | 95.2 | 1000 |
| 1 | FPAFT-df=6 |
0.005 |
0.2 | 94.6 | 1000 |
0.001 |
. | 95.0 | 1000 |
0.001 |
0.1 | 96.0 | 1000 |
0.007 |
0.3 | 94.7 | 1000 |
| 2 | FPAFT-df=6 | 0.000 | 0.0 | 95.1 | 1000 |
0.002 |
0.3 |
94.4 | 1000 | 0.001 |
0.2 |
94.7 | 1000 |
0.005 |
0.3 | 93.9 | 1000 |
| 3 | FPAFT-df=6 | 0.002 | 0.3 | 95.1 | 1000 | 0.001 | 0.1 | 95.1 | 1000 | 0.004 |
4.2 |
94.6 | 1000 |
0.005 |
0.5 | 93.4 | 1000 |
| 4 | FPAFT-df=6 | 0.007 | 0.8 | 93.6 | 1000 | 0.005 | 0.5 | 94.6 | 1000 |
0.001 |
0.4 |
94.2 | 1000 |
0.005 |
0.8 | 93.6 | 1000 |
| 5 | FPAFT-df=6 | 0.005 | 0.5 | 94.1 | 1000 | 0.001 | 0.1 | 94.0 | 1000 | 0.003 | 0.6 | 94.8 | 1000 |
0.004 |
1.1 | 95.4 | 1000 |
| 1 | FPAFT-df=7 |
0.008 |
0.3 | 93.9 | 1000 |
0.002 |
. | 93.6 | 1000 |
0.003 |
0.3 | 95.6 | 1000 |
0.007 |
0.3 | 93.5 | 1000 |
| 2 | FPAFT-df=7 |
0.001 |
0.3 | 95.4 | 1000 |
0.002 |
0.3 |
93.7 | 1000 |
0.000 |
0.0 | 94.6 | 1000 |
0.006 |
0.4 | 92.1 | 1000 |
| 3 | FPAFT-df=7 | 0.003 | 0.5 | 95.1 | 1000 | 0.002 | 0.2 | 94.2 | 1000 | 0.000 | 0.0 | 93.8 | 1000 |
0.006 |
0.6 | 92.9 | 1000 |
| 4 | FPAFT-df=7 | 0.002 | 0.2 | 93.4 | 1000 | 0.006 | 0.6 | 94.8 | 1000 | 0.001 | 0.4 | 94.0 | 1000 |
0.006 |
0.9 | 93.1 | 1000 |
| 5 | FPAFT-df=7 | 0.003 | 0.3 | 94.3 | 1000 | 0.001 | 0.1 | 94.3 | 1000 | 0.002 | 0.4 | 94.6 | 1000 |
0.005 |
1.3 | 93.9 | 1000 |
| 1 | FPAFT-df=8 |
0.010 |
0.4 | 93.9 | 1000 |
0.001 |
. | 94.3 | 1000 |
0.002 |
0.2 | 95.7 | 1000 |
0.009 |
0.4 | 92.9 | 1000 |
| 2 | FPAFT-df=8 |
0.002 |
0.5 | 94.4 | 1000 |
0.002 |
0.3 |
93.0 | 1000 |
0.000 |
0.0 | 94.2 | 1000 |
0.007 |
0.5 | 91.0 | 1000 |
| 3 | FPAFT-df=8 | 0.002 | 0.3 | 94.6 | 1000 | 0.002 | 0.2 | 94.2 | 1000 |
0.001 |
1.0 | 93.6 | 1000 |
0.008 |
0.8 | 91.1 | 1000 |
| 4 | FPAFT-df=8 | 0.001 | 0.1 | 92.6 | 1000 | 0.006 | 0.6 | 94.8 | 1000 | 0.003 | 1.1 | 93.8 | 1000 |
0.008 |
1.3 | 91.3 | 1000 |
| 5 | FPAFT-df=8 | 0.004 | 0.4 | 94.1 | 1000 | 0.002 | 0.2 | 93.9 | 1000 | 0.002 | 0.4 | 94.4 | 1000 |
0.006 |
1.6 | 93.8 | 1000 |
| 1 | FPAFT-df=9 |
0.011 |
0.5 | 94.3 | 1000 |
0.001 |
. | 92.3 | 1000 |
0.003 |
0.3 | 95.6 | 1000 |
0.012 |
0.5 | 91.7 | 1000 |
| 2 | FPAFT-df=9 |
0.002 |
0.5 | 93.9 | 1000 |
0.001 |
0.2 |
93.5 | 1000 |
0.001 |
0.2 | 94.2 | 1000 |
0.010 |
0.7 | 89.8 | 1000 |
| 3 | FPAFT-df=9 | 0.001 | 0.2 | 94.1 | 1000 | 0.002 | 0.2 | 94.2 | 1000 |
0.001 |
1.0 | 93.3 | 1000 |
0.010 |
1.0 | 90.7 | 1000 |
| 4 | FPAFT-df=9 | 0.001 | 0.1 | 93.4 | 1000 | 0.006 | 0.6 | 95.2 | 1000 | 0.003 | 1.1 | 93.5 | 1000 |
0.010 |
1.6 | 89.3 | 1000 |
| 5 | FPAFT-df=9 | 0.004 | 0.4 | 94.4 | 1000 | 0.002 | 0.2 | 93.9 | 1000 | 0.002 | 0.4 | 94.3 | 1000 |
0.008 |
2.2 | 91.9 | 1000 |