Table 4.
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 |
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Cov. |
![]() |
Bias |
![]() |
Cov. |
![]() |
Bias |
![]() |
Cov. |
![]() |
Bias |
![]() |
Cov. |
![]() |
||
1 | Weibull | 0.586 |
![]() |
0.0 | 1000 |
![]() |
. | 94.6 | 1000 | 0.092 |
![]() |
59.8 | 1000 |
![]() |
0.3 | 94.7 | 1000 |
2 | Weibull |
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4.6 | 92.6 | 1000 |
![]() |
![]() |
13.6 | 1000 | 0.167 |
![]() |
9.0 | 1000 |
![]() |
0.4 | 96.3 | 1000 |
3 | Weibull |
![]() |
![]() |
0.7 | 1000 |
![]() |
![]() |
55.4 | 1000 | 0.103 |
![]() |
42.3 | 1000 |
![]() |
0.4 | 96.3 | 1000 |
4 | Weibull |
![]() |
![]() |
87.4 | 1000 | 0.005 | 0.5 | 92.7 | 1000 |
![]() |
![]() |
96.3 | 1000 |
![]() |
0.5 | 96.4 | 1000 |
5 | Weibull | 0.256 | 23.9 | 1.1 | 1000 | 0.081 | 7.5 | 63.9 | 1000 |
![]() |
![]() |
62.9 | 1000 |
![]() |
0.5 | 96.4 | 1000 |
1 | Gamma | 0.187 |
![]() |
45.5 | 1000 |
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. | 94.5 | 1000 | 0.064 |
![]() |
75.7 | 1000 |
![]() |
0.4 | 94.6 | 1000 |
2 | Gamma | 0.031 |
![]() |
92.1 | 1000 |
![]() |
![]() |
13.4 | 1000 | 0.119 |
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28.7 | 1000 |
![]() |
0.3 | 96.1 | 1000 |
3 | Gamma |
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2.8 | 1000 |
![]() |
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59.9 | 1000 | 0.077 |
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63.0 | 1000 |
![]() |
0.3 | 95.7 | 1000 |
4 | Gamma |
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![]() |
82.9 | 1000 | 0.016 | 1.6 | 91.1 | 1000 | 0.000 | 0.0 | 95.8 | 1000 |
![]() |
0.5 | 95.9 | 1000 |
5 | Gamma | 0.132 | 12.3 | 23.4 | 1000 | 0.097 | 9.0 | 57.6 | 1000 |
![]() |
![]() |
91.2 | 1000 |
![]() |
0.5 | 96.3 | 1000 |
1 | GenF | 0.007 |
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92.4 | 984 | 0.000 | . | 65.9 | 686 |
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0.4 | 18.8 | 196 |
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1.0 | 81.5 | 914 |
2 | GenF | 0.004 |
![]() |
95.1 | 993 |
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63.9 | 692 | 0.046 |
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25.2 | 293 |
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1.1 | 82.4 | 915 |
3 | GenF |
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76.3 | 993 |
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65.0 | 692 | 0.027 |
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33.8 | 365 |
![]() |
1.0 | 82.4 | 915 |
4 | GenF |
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93.0 | 993 | 0.015 | 1.5 | 63.8 | 692 |
![]() |
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38.8 | 404 |
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0.6 | 81.9 | 915 |
5 | GenF | 0.069 | 6.4 | 64.5 | 993 | 0.030 | 2.8 | 60.4 | 692 |
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38.4 | 406 | 0.000 | 0.0 | 82.3 | 922 |
1 | FPAFT-df=2 | 0.171 |
![]() |
54.0 | 1000 |
![]() |
. | 87.3 | 1000 | 0.021 |
![]() |
92.8 | 1000 |
![]() |
0.5 | 95.2 | 1000 |
2 | FPAFT-df=2 | 0.131 |
![]() |
26.0 | 1000 |
![]() |
![]() |
12.9 | 1000 | 0.121 |
![]() |
32.2 | 1000 |
![]() |
0.3 | 96.3 | 1000 |
3 | FPAFT-df=2 |
![]() |
![]() |
17.5 | 1000 |
![]() |
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67.8 | 1000 | 0.090 |
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52.6 | 1000 |
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0.3 | 96.1 | 1000 |
4 | FPAFT-df=2 |
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![]() |
78.6 | 1000 | 0.037 | 3.7 | 86.5 | 1000 | 0.004 | 1.5 | 96.2 | 1000 |
![]() |
0.3 | 96.4 | 1000 |
5 | FPAFT-df=2 | 0.101 | 9.4 | 45.7 | 1000 | 0.125 | 11.6 | 37.6 | 1000 |
![]() |
![]() |
85.7 | 1000 |
![]() |
0.5 | 96.4 | 1000 |
1 | FPAFT-df=3 |
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4.5 | 85.1 | 1000 | 0.066 | . | 73.0 | 1000 | 0.031 |
![]() |
93.2 | 1000 |
![]() |
0.4 | 94.2 | 1000 |
2 | FPAFT-df=3 | 0.140 |
![]() |
22.0 | 1000 |
![]() |
![]() |
60.6 | 1000 | 0.046 |
![]() |
84.7 | 1000 |
![]() |
0.3 | 96.3 | 1000 |
3 | FPAFT-df=3 |
![]() |
![]() |
81.5 | 1000 |
![]() |
![]() |
78.5 | 1000 | 0.030 |
![]() |
90.5 | 1000 |
![]() |
0.4 | 95.8 | 1000 |
4 | FPAFT-df=3 |
![]() |
![]() |
87.8 | 1000 | 0.013 | 1.3 | 91.9 | 1000 |
![]() |
![]() |
93.4 | 1000 |
![]() |
0.5 | 95.9 | 1000 |
5 | FPAFT-df=3 | 0.039 | 3.6 | 84.3 | 1000 | 0.068 | 6.3 | 73.9 | 1000 |
![]() |
![]() |
88.9 | 1000 |
![]() |
0.5 | 96.3 | 1000 |
1 | FPAFT-df=4 | 0.005 |
![]() |
94.5 | 1000 | 0.072 | . | 64.2 | 1000 | 0.013 |
![]() |
94.5 | 1000 |
![]() |
0.3 | 94.3 | 1000 |
2 | FPAFT-df=4 | 0.074 |
![]() |
67.0 | 1000 |
![]() |
![]() |
93.6 | 1000 | 0.054 |
![]() |
82.1 | 1000 |
![]() |
0.4 | 96.2 | 1000 |
3 | FPAFT-df=4 |
![]() |
![]() |
92.8 | 1000 |
![]() |
![]() |
91.4 | 1000 | 0.041 |
![]() |
88.3 | 1000 |
![]() |
0.4 | 95.9 | 1000 |
4 | FPAFT-df=4 | 0.017 |
![]() |
93.9 | 1000 |
![]() |
0.0 | 94.6 | 1000 |
![]() |
![]() |
94.7 | 1000 |
![]() |
0.5 | 95.3 | 1000 |
5 | FPAFT-df=4 | 0.026 | 2.4 | 89.7 | 1000 | 0.019 | 1.8 | 90.7 | 1000 |
![]() |
![]() |
90.2 | 1000 |
![]() |
0.5 | 96.3 | 1000 |
1 | FPAFT-df=5 | 0.004 |
![]() |
94.4 | 1000 | 0.044 | . | 82.2 | 1000 | 0.024 |
![]() |
94.0 | 1000 |
![]() |
0.3 | 94.6 | 1000 |
2 | FPAFT-df=5 | 0.023 |
![]() |
90.4 | 1000 |
![]() |
![]() |
94.2 | 1000 | 0.037 |
![]() |
88.0 | 1000 |
![]() |
0.4 | 95.7 | 1000 |
3 | FPAFT-df=5 |
![]() |
![]() |
94.3 | 1000 |
![]() |
![]() |
93.0 | 1000 | 0.059 |
![]() |
80.2 | 1000 |
![]() |
0.5 | 95.4 | 1000 |
4 | FPAFT-df=5 |
![]() |
![]() |
94.9 | 1000 |
![]() |
0.0 | 94.9 | 1000 | 0.008 | 3.0 | 93.6 | 1000 |
![]() |
0.6 | 94.9 | 1000 |
5 | FPAFT-df=5 | 0.024 | 2.2 | 90.6 | 1000 | 0.011 | 1.0 | 93.0 | 1000 |
![]() |
![]() |
92.3 | 1000 |
![]() |
0.8 | 95.9 | 1000 |
1 | FPAFT-df=6 |
![]() |
0.3 | 94.7 | 1000 | 0.018 | . | 91.6 | 1000 | 0.026 |
![]() |
92.7 | 1000 |
![]() |
0.3 | 94.7 | 1000 |
2 | FPAFT-df=6 |
![]() |
0.3 | 94.0 | 1000 |
![]() |
![]() |
94.0 | 1000 | 0.026 |
![]() |
91.7 | 1000 |
![]() |
0.4 | 95.5 | 1000 |
3 | FPAFT-df=6 |
![]() |
![]() |
94.2 | 1000 |
![]() |
![]() |
94.3 | 1000 | 0.064 |
![]() |
76.4 | 1000 |
![]() |
0.5 | 95.0 | 1000 |
4 | FPAFT-df=6 | 0.001 | 0.1 | 94.5 | 1000 | 0.002 | 0.2 | 94.1 | 1000 | 0.022 | 8.2 | 91.3 | 1000 |
![]() |
0.6 | 94.0 | 1000 |
5 | FPAFT-df=6 | 0.025 | 2.3 | 90.7 | 1000 | 0.008 | 0.7 | 93.7 | 1000 |
![]() |
![]() |
92.8 | 1000 |
![]() |
0.8 | 94.5 | 1000 |
1 | FPAFT-df=7 |
![]() |
0.3 | 94.4 | 1000 | 0.004 | . | 93.8 | 1000 | 0.020 |
![]() |
93.4 | 1000 |
![]() |
0.3 | 94.9 | 1000 |
2 | FPAFT-df=7 |
![]() |
2.1 | 94.4 | 1000 | 0.001 | 0.2 | 93.9 | 1000 | 0.025 |
![]() |
90.6 | 1000 |
![]() |
0.4 | 94.9 | 1000 |
3 | FPAFT-df=7 |
![]() |
![]() |
94.5 | 1000 |
![]() |
![]() |
94.9 | 1000 | 0.059 |
![]() |
77.1 | 1000 |
![]() |
0.5 | 93.1 | 1000 |
4 | FPAFT-df=7 | 0.006 | 0.7 | 93.5 | 1000 | 0.003 | 0.3 | 93.5 | 1000 | 0.031 | 11.5 | 88.9 | 1000 |
![]() |
0.5 | 92.3 | 1000 |
5 | FPAFT-df=7 | 0.026 | 2.4 | 90.4 | 1000 | 0.006 | 0.6 | 93.1 | 1000 |
![]() |
![]() |
92.9 | 1000 |
![]() |
0.8 | 92.0 | 1000 |
1 | FPAFT-df=8 |
![]() |
0.5 | 94.1 | 1000 |
![]() |
. | 92.7 | 1000 | 0.020 |
![]() |
93.5 | 1000 |
![]() |
0.3 | 94.2 | 1000 |
2 | FPAFT-df=8 |
![]() |
2.3 | 95.3 | 1000 | 0.000 | 0.0 | 93.3 | 1000 | 0.030 |
![]() |
89.7 | 1000 |
![]() |
0.3 | 93.0 | 1000 |
3 | FPAFT-df=8 |
![]() |
![]() |
93.2 | 1000 |
![]() |
![]() |
94.0 | 1000 | 0.050 |
![]() |
81.9 | 1000 |
![]() |
0.2 | 92.5 | 1000 |
4 | FPAFT-df=8 | 0.009 | 1.0 | 92.9 | 1000 | 0.004 | 0.4 | 93.7 | 1000 | 0.037 | 13.7 | 85.8 | 1000 |
![]() |
0.2 | 91.1 | 1000 |
5 | FPAFT-df=8 | 0.026 | 2.4 | 90.3 | 1000 | 0.006 | 0.6 | 93.1 | 1000 |
![]() |
![]() |
91.7 | 1000 |
![]() |
0.0 | 89.6 | 1000 |
1 | FPAFT-df=9 |
![]() |
0.6 | 94.8 | 1000 |
![]() |
. | 93.9 | 1000 | 0.020 |
![]() |
93.3 | 1000 |
![]() |
0.2 | 93.6 | 1000 |
2 | FPAFT-df=9 |
![]() |
2.1 | 94.4 | 1000 |
![]() |
0.0 | 93.5 | 1000 | 0.030 |
![]() |
89.3 | 1000 |
![]() |
0.0 | 91.7 | 1000 |
3 | FPAFT-df=9 |
![]() |
![]() |
92.1 | 1000 |
![]() |
![]() |
94.4 | 1000 | 0.041 |
![]() |
83.7 | 1000 | 0.001 |
![]() |
90.1 | 1000 |
4 | FPAFT-df=9 | 0.011 | 1.2 | 92.6 | 1000 | 0.005 | 0.5 | 93.0 | 1000 | 0.041 | 15.2 | 82.2 | 1000 | 0.002 |
![]() |
87.8 | 1000 |
5 | FPAFT-df=9 | 0.027 | 2.5 | 90.0 | 1000 | 0.006 | 0.6 | 92.9 | 1000 |
![]() |
![]() |
90.9 | 1000 | 0.004 |
![]() |
86.9 | 1000 |