Table 6.
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 | 0.042 |
4.6 |
87.5 | 1000 |
0.156 |
32.5 |
9.7 | 1000 | 0.153 |
22.6 |
18.2 | 1000 |
0.007 |
0.4 | 94.2 | 1000 |
| 2 | Weibull |
0.301 |
40.9 |
0.1 | 1000 |
0.089 |
9.7 |
52.1 | 1000 | 0.062 | 314.2 | 73.7 | 1000 |
0.004 |
0.5 | 94.8 | 1000 |
| 3 | Weibull | 0.137 | 12.9 | 29.1 | 1000 | 0.047 | 4.4 | 79.1 | 1000 |
0.092 |
17.4 |
48.9 | 1000 |
0.002 |
0.5 | 95.7 | 1000 |
| 4 | Weibull | 0.450 | 34.7 | 0.0 | 1000 | 0.144 | 12.2 | 24.7 | 1000 |
0.085 |
11.0 |
58.3 | 1000 |
0.001 |
2.6 | 95.0 | 1000 |
| 5 | Weibull | 0.657 | 43.5 | 0.0 | 1000 | 0.216 | 17.0 | 3.9 | 1000 |
0.029 |
3.2 |
93.0 | 1000 | 0.000 | 0.0 | 95.1 | 1000 |
| 1 | Gamma | 0.111 |
12.1 |
55.0 | 1000 |
0.163 |
34.0 |
7.4 | 1000 | 0.044 |
6.5 |
86.5 | 1000 |
0.005 |
0.3 | 94.7 | 1000 |
| 2 | Gamma |
0.176 |
23.9 |
2.9 | 1000 |
0.087 |
9.5 |
53.4 | 1000 |
0.024 |
121.6 |
92.9 | 1000 |
0.003 |
0.3 | 95.2 | 1000 |
| 3 | Gamma | 0.111 | 10.4 | 34.7 | 1000 | 0.058 | 5.4 | 74.8 | 1000 |
0.118 |
22.3 |
31.1 | 1000 |
0.002 |
0.5 | 95.0 | 1000 |
| 4 | Gamma | 0.258 | 19.9 | 0.7 | 1000 | 0.162 | 13.7 | 21.6 | 1000 |
0.040 |
5.2 |
85.2 | 1000 |
0.001 |
2.6 | 94.9 | 1000 |
| 5 | Gamma | 0.310 | 20.5 | 0.3 | 1000 | 0.241 | 19.0 | 3.5 | 1000 | 0.089 | 9.8 | 66.4 | 1000 |
0.000 |
0.0 | 94.5 | 1000 |
| 1 | GenF |
0.026 |
2.8 | 91.8 | 991 |
0.013 |
2.7 |
65.6 | 692 | 0.041 |
6.1 |
23.0 | 257 |
0.009 |
0.5 | 80.7 | 914 |
| 2 | GenF |
0.059 |
8.0 |
67.4 | 993 |
0.004 |
0.4 |
65.3 | 692 | 0.019 | 96.3 | 36.6 | 384 | 0.001 |
0.1 |
81.2 | 914 |
| 3 | GenF | 0.066 | 6.2 | 64.9 | 993 | 0.029 | 2.7 | 61.8 | 692 |
0.013 |
2.5 |
38.5 | 407 | 0.009 |
2.3 |
81.5 | 918 |
| 4 | GenF | 0.066 | 5.1 | 69.0 | 993 | 0.034 | 2.9 | 61.2 | 692 | 0.007 | 0.9 | 38.8 | 407 | 0.007 |
17.9 |
82.0 | 922 |
| 5 | GenF |
0.001 |
0.1 |
92.8 | 993 | 0.026 | 2.0 | 63.4 | 692 | 0.034 | 3.7 | 37.6 | 407 |
0.003 |
1.3 |
82.1 | 923 |
| 1 | FPAFT-df=2 | 0.105 |
11.4 |
58.9 | 1000 |
0.168 |
35.0 |
7.4 | 1000 | 0.066 |
9.7 |
75.7 | 1000 |
0.005 |
0.3 | 94.9 | 1000 |
| 2 | FPAFT-df=2 |
0.210 |
28.5 |
0.2 | 1000 |
0.067 |
7.3 |
65.9 | 1000 | 0.027 | 136.8 | 90.2 | 1000 |
0.002 |
0.2 | 95.2 | 1000 |
| 3 | FPAFT-df=2 | 0.025 | 2.3 | 84.4 | 1000 | 0.091 | 8.5 | 56.2 | 1000 |
0.088 |
16.6 |
53.9 | 1000 |
0.001 |
0.3 | 95.2 | 1000 |
| 4 | FPAFT-df=2 | 0.174 | 13.4 | 23.7 | 1000 | 0.203 | 17.2 | 7.8 | 1000 |
0.051 |
6.6 |
82.4 | 1000 |
0.001 |
2.6 | 94.8 | 1000 |
| 5 | FPAFT-df=2 | 0.254 | 16.8 | 12.4 | 1000 | 0.288 | 22.7 | 0.6 | 1000 | 0.028 | 3.1 | 90.5 | 1000 |
0.000 |
0.0 | 94.8 | 1000 |
| 1 | FPAFT-df=3 |
0.005 |
0.5 | 92.3 | 1000 |
0.130 |
27.1 |
14.3 | 1000 | 0.008 |
1.2 |
96.3 | 1000 |
0.003 |
0.2 | 94.7 | 1000 |
| 2 | FPAFT-df=3 |
0.124 |
16.9 |
8.1 | 1000 |
0.102 |
11.2 |
37.7 | 1000 |
0.029 |
147.0 |
90.7 | 1000 |
0.004 |
0.5 | 95.2 | 1000 |
| 3 | FPAFT-df=3 |
0.002 |
0.2 |
92.2 | 1000 |
0.003 |
0.3 |
87.9 | 1000 |
0.086 |
16.3 |
55.4 | 1000 |
0.003 |
0.8 | 95.1 | 1000 |
| 4 | FPAFT-df=3 | 0.046 | 3.5 | 85.7 | 1000 | 0.065 | 5.5 | 76.2 | 1000 |
0.001 |
0.1 |
93.5 | 1000 |
0.001 |
2.6 | 95.0 | 1000 |
| 5 | FPAFT-df=3 | 0.047 | 3.1 | 87.1 | 1000 | 0.116 | 9.1 | 59.2 | 1000 | 0.114 | 12.5 | 44.0 | 1000 |
0.000 |
0.0 | 95.1 | 1000 |
| 1 | FPAFT-df=4 |
0.061 |
6.6 | 81.6 | 1000 |
0.034 |
7.1 |
90.6 | 1000 |
0.000 |
0.0 | 93.7 | 1000 |
0.005 |
0.3 | 94.5 | 1000 |
| 2 | FPAFT-df=4 |
0.070 |
9.5 |
56.2 | 1000 |
0.047 |
5.1 |
76.9 | 1000 |
0.025 |
126.7 |
93.5 | 1000 |
0.003 |
0.3 | 95.4 | 1000 |
| 3 | FPAFT-df=4 | 0.007 | 0.7 | 94.3 | 1000 |
0.009 |
0.8 |
92.3 | 1000 |
0.087 |
16.4 |
55.4 | 1000 |
0.002 |
0.5 | 95.0 | 1000 |
| 4 | FPAFT-df=4 | 0.015 | 1.2 | 94.3 | 1000 | 0.013 | 1.1 | 93.0 | 1000 |
0.008 |
1.0 |
91.9 | 1000 |
0.001 |
2.6 | 94.4 | 1000 |
| 5 | FPAFT-df=4 |
0.014 |
0.9 |
92.3 | 1000 | 0.027 | 2.1 | 91.3 | 1000 | 0.102 | 11.2 | 55.1 | 1000 |
0.000 |
0.0 | 95.0 | 1000 |
| 1 | FPAFT-df=5 |
0.045 |
4.9 | 87.9 | 1000 |
0.013 |
2.7 |
96.2 | 1000 |
0.026 |
3.8 | 90.6 | 1000 |
0.004 |
0.2 | 94.5 | 1000 |
| 2 | FPAFT-df=5 |
0.044 |
6.0 |
82.9 | 1000 |
0.029 |
3.2 |
88.6 | 1000 |
0.018 |
91.2 |
94.9 | 1000 |
0.002 |
0.2 | 94.6 | 1000 |
| 3 | FPAFT-df=5 | 0.015 | 1.4 | 93.7 | 1000 |
0.005 |
0.5 |
93.8 | 1000 |
0.085 |
16.1 |
53.7 | 1000 |
0.002 |
0.5 | 94.3 | 1000 |
| 4 | FPAFT-df=5 | 0.005 | 0.4 | 95.7 | 1000 | 0.007 | 0.6 | 93.6 | 1000 |
0.020 |
2.6 |
90.2 | 1000 |
0.001 |
2.6 | 94.2 | 1000 |
| 5 | FPAFT-df=5 |
0.039 |
2.6 |
88.0 | 1000 | 0.014 | 1.1 | 93.4 | 1000 | 0.079 | 8.7 | 70.2 | 1000 | 0.000 | 0.0 | 94.3 | 1000 |
| 1 | FPAFT-df=6 |
0.018 |
2.0 | 95.1 | 1000 |
0.002 |
0.4 |
95.0 | 1000 |
0.023 |
3.4 | 92.9 | 1000 |
0.004 |
0.2 | 94.4 | 1000 |
| 2 | FPAFT-df=6 |
0.029 |
3.9 |
90.1 | 1000 |
0.016 |
1.8 |
93.9 | 1000 |
0.016 |
81.1 |
94.3 | 1000 |
0.002 |
0.2 | 94.1 | 1000 |
| 3 | FPAFT-df=6 | 0.021 | 2.0 | 92.8 | 1000 |
0.001 |
0.1 |
94.7 | 1000 |
0.079 |
14.9 |
58.4 | 1000 |
0.002 |
0.5 | 93.0 | 1000 |
| 4 | FPAFT-df=6 | 0.001 | 0.1 | 96.0 | 1000 | 0.004 | 0.3 | 94.4 | 1000 |
0.027 |
3.5 |
88.6 | 1000 |
0.001 |
2.6 | 92.6 | 1000 |
| 5 | FPAFT-df=6 |
0.050 |
3.3 |
86.1 | 1000 | 0.006 | 0.5 | 94.3 | 1000 | 0.064 | 7.0 | 77.7 | 1000 |
0.000 |
0.0 | 93.8 | 1000 |
| 1 | FPAFT-df=7 |
0.004 |
0.4 | 94.5 | 1000 | 0.003 | 0.6 | 93.8 | 1000 |
0.020 |
3.0 | 92.6 | 1000 |
0.004 |
0.2 | 93.4 | 1000 |
| 2 | FPAFT-df=7 |
0.019 |
2.6 |
93.6 | 1000 |
0.007 |
0.8 |
95.3 | 1000 |
0.018 |
91.2 |
91.7 | 1000 |
0.002 |
0.2 | 93.2 | 1000 |
| 3 | FPAFT-df=7 | 0.026 | 2.4 | 91.0 | 1000 | 0.003 | 0.3 | 94.8 | 1000 |
0.072 |
13.6 |
62.3 | 1000 |
0.003 |
0.8 | 90.9 | 1000 |
| 4 | FPAFT-df=7 |
0.001 |
0.1 |
96.2 | 1000 | 0.004 | 0.3 | 94.2 | 1000 |
0.030 |
3.9 |
86.4 | 1000 |
0.001 |
2.6 | 92.9 | 1000 |
| 5 | FPAFT-df=7 |
0.057 |
3.8 |
84.7 | 1000 | 0.002 | 0.2 | 94.2 | 1000 | 0.053 | 5.8 | 82.6 | 1000 |
0.000 |
0.0 | 93.8 | 1000 |
| 1 | FPAFT-df=8 | 0.001 |
0.1 |
94.0 | 1000 | 0.004 | 0.8 | 93.5 | 1000 |
0.022 |
3.2 | 92.0 | 1000 |
0.006 |
0.4 | 92.2 | 1000 |
| 2 | FPAFT-df=8 |
0.013 |
1.8 |
94.5 | 1000 |
0.003 |
0.3 |
95.4 | 1000 |
0.022 |
111.5 |
89.5 | 1000 |
0.005 |
0.6 | 91.0 | 1000 |
| 3 | FPAFT-df=8 | 0.029 | 2.7 | 89.8 | 1000 | 0.005 | 0.5 | 94.6 | 1000 |
0.066 |
12.5 |
66.4 | 1000 |
0.005 |
1.3 | 88.7 | 1000 |
| 4 | FPAFT-df=8 |
0.001 |
0.1 |
96.1 | 1000 | 0.004 | 0.3 | 94.4 | 1000 |
0.031 |
4.0 |
85.2 | 1000 |
0.003 |
7.7 | 89.8 | 1000 |
| 5 | FPAFT-df=8 |
0.060 |
4.0 |
83.5 | 1000 | 0.000 | 0.0 | 93.9 | 1000 | 0.046 | 5.0 | 85.6 | 1000 |
0.002 |
0.9 |
92.4 | 1000 |
| 1 | FPAFT-df=9 | 0.002 |
0.2 |
93.7 | 1000 | 0.004 | 0.8 | 92.5 | 1000 |
0.023 |
3.4 | 91.8 | 1000 |
0.009 |
0.5 | 91.8 | 1000 |
| 2 | FPAFT-df=9 |
0.010 |
1.4 |
94.6 | 1000 | 0.000 | 0.0 | 95.5 | 1000 |
0.025 |
126.7 |
86.6 | 1000 |
0.008 |
0.9 | 89.6 | 1000 |
| 3 | FPAFT-df=9 | 0.030 | 2.8 | 89.4 | 1000 | 0.006 | 0.6 | 95.1 | 1000 |
0.061 |
11.5 |
71.9 | 1000 |
0.008 |
2.1 | 85.7 | 1000 |
| 4 | FPAFT-df=9 |
0.001 |
0.1 |
96.2 | 1000 | 0.003 | 0.3 | 94.8 | 1000 |
0.031 |
4.0 |
84.5 | 1000 |
0.006 |
15.4 | 89.3 | 1000 |
| 5 | FPAFT-df=9 |
0.062 |
4.1 |
84.0 | 1000 |
0.001 |
0.1 |
94.8 | 1000 | 0.041 | 4.5 | 85.1 | 1000 |
0.004 |
1.7 |
91.7 | 1000 |