Research Article
Maximum Likelihood Estimator of AUC for a Bi-Exponentiated Weibull Model
Table 2
ARB and RMSE of five estimated parameters
and
, when
,
,
, and
and with different values of
.
| | MLE | | | |
| (50, 50) | | 0.1925 (1.7453) | 0.1646 (1.7159) | 0.1863 (1.7626) | | 0.4685 (2.245) | 0.3917 (1.9021) | 0.4641 (2.348) | | 0.0554 (0.6402) | 0.0912 (0.7801) | 0.0558 (0.9117) | | 0.1044 (0.5624) | 0.0700 (0.5442) | 0.0800 (0.5353) | | 0.1048 (0.5779) | 0.0746 (0.5624) | 0.0939 (0.5719) | | 0.0067 (0.0556) | 0.0026 (0.0557) | 0.0036 (0.0529) |
| (50, 80) | | 0.2538 (1.8319) | 0.2472 (2.0245) | 0.2775 (2.0910) | | 0.2818 (2.0819) | 0.2691 (2.245) | 0.3046 (2.3255) | | 0.0401 (0.5415) | 0.0557 (0.6907) | 0.0475 (0.8629) | | 0.0825 (0.4706) | 0.0635 (0.4821) | 0.0815 (0.4803) | | 0.0724 (0.4790) | 0.0489 (0.4931) | 0.0741 (0.4952) | | 0.0045 (0.0490) | 0.0015 (0.0510) | 0.0008 (0.050) |
| (80, 50) | | 0.1846 (1.6341) | 0.2311 (1.7011) | 0.2874 (1.7425) | | 0.2515 (2.2201) | 0.3733 (2.2412) | 0.3969 (1.956) | | 0.0501 (0.4921) | 0.0414 (0.701) | 0.0339 (0.8101) | | 0.0380 (0.4365) | 0.0665 (0.4577) | 0.0905 (0.4761) | | 0.0443 (0.4681) | 0.0952 (0.5278) | 0.0962 (0.5221) | | 0.0003 (0.0479) | 0.0013 (0.0479) | 0.0055 (0.0489) |
| (80, 80) | | 0.162 (1.3518) | 0.1531 (1.3652) | 0.1594 (1.3561) | | 0.2096 (1.8697) | 0.2047 (3.9241) | 0.1655 (2.183) | | 0.0372 (0.4715) | 0.0438 (0.5934) | 0.0458 (0.7095) | | 0.0464 (0.4011) | 0.0404 (0.3996) | 0.0433 (0.4048) | | 0.0488 (0.4211) | 0.0417 (0.4334) | 0.0291 (0.4084) | | 0.002 (0.0412) | 0.0023 (0.0424) | 0.003 (0.0435) |
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