Table 5.
True value |
Proposed NPMLE |
Proposed PMLE |
j = 2 as Censored | j = 1 as Censored | ||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
NPMLE | PMLE | NPMLE | PMLE | |||||||||||
Mean | SD | Mean | SD | Mean | SD | Mean | SD | Mean | SD | Mean | SD | |||
1000 clusters | ||||||||||||||
β1 | 0.5 | 0.5065 | 0.2303 | 1.4070 | 0.3159 | 0.3813 | 0.2666 | 0.6406 | 0.3209 | – | – | – | – | |
β2 | 2.5 | 2.4880 | 0.1729 | 3.2670 | 0.2252 | – | – | – | – | 2.4740 | 0.1731 | 3.5426 | 0.2387 | |
|
1.0 | 0.9606 | 0.2383 | 2.7130 | 0.3267 | 0.8576 | 0.2073 | 2.8230 | 0.3065 | – | – | – | – | |
|
1.5 | 1.4740 | 0.1699 | 3.1090 | 0.2115 | – | – | – | – | 1.4410 | 0.1714 | 3.5870 | 0.2102 | |
ρ12 | 0.5 | 0.4984 | 0.1303 | 0.8997 | 0.1065 | – | – | – | – | – | – | – | – | |
ψ1 | 1.0 | – | – | 1.8870 | 0.2790 | – | – | 1.4090 | 0.2491 | – | – | – | – | |
ψ2 | 1.0 | – | – | 1.9630 | 0.2866 | – | – | – | – | – | – | 1.4200 | 0.2041 | |
Λ01(0.10) | 0.2154 | 0.2165 | 0.0303 | 0.1887 | 0.0279 | 0.0988 | 0.0181 | 0.1409 | 0.0249 | – | – | – | – | |
Λ01(0.15) | 0.2823 | 0.2818 | 0.0378 | 0.2831 | 0.0418 | 0.1443 | 0.0236 | 0.2113 | 0.0374 | – | – | – | – | |
Λ01(0.20) | 0.3420 | 0.3374 | 0.0463 | 0.3740 | 0.0558 | 0.1879 | 0.0306 | 0.2818 | 0.0498 | – | – | – | – | |
Λ01(0.25) | 0.3969 | 0.3833 | 0.0549 | 0.4718 | 0.0697 | 0.2274 | 0.0377 | 0.3523 | 0.0623 | – | – | – | – | |
Λ02(0.10) | 0.2154 | 0.2181 | 0.0235 | 0.1963 | 0.0287 | – | – | – | – | 0.2086 | 0.0227 | 0.1420 | 0.0204 | |
Λ02(0.15) | 0.2823 | 0.2854 | 0.0307 | 0.2945 | 0.0429 | – | – | – | – | 0.2700 | 0.0290 | 0.2130 | 0.0306 | |
Λ02(0.20) | 0.3420 | 0.3433 | 0.0379 | 0.3926 | 0.0573 | – | – | – | – | 0.3220 | 0.0352 | 0.2840 | 0.0408 | |
Λ02(0.25) | 0.3969 | 0.3918 | 0.0441 | 0.4908 | 0.0716 | – | – | – | – | 0.3652 | 0.0407 | 0.3550 | 0.0510 |