Research Article
Half-Logistic Xgamma Distribution: Properties and Estimation under Censored Samples
Table 3
ML estimates, biases, MSEs, LBs, UBs, and ALs of the HLXG model under complete and TIIC for
.
| | | Parameters | ML | Bias | MSE | 90% | 95% | LB | UB | AL | LB | UB | AL |
| 30 | 21 | | 0.5416 | 0.0416 | 0.0229 | 0.3455 | 0.7377 | 0.3922 | 0.3080 | 0.7752 | 0.4673 | | 1.5025 | 0.3025 | 0.5847 | 0.4767 | 2.5283 | 2.0515 | 0.2803 | 2.7247 | 2.4444 | 27 | | 0.5344 | 0.0344 | 0.0144 | 0.3641 | 0.7046 | 0.3405 | 0.3315 | 0.7372 | 0.4057 | ā | 1.4224 | 0.2224 | 0.1901 | 0.7016 | 2.1433 | 1.4417 | 0.5636 | 2.2813 | 1.7177 | 30 | | 0.5311 | 0.0311 | 0.0141 | 0.3704 | 0.6918 | 0.3215 | 0.3396 | 0.7226 | 0.3830 | | 1.3807 | 0.1807 | 0.1364 | 0.7849 | 1.9765 | 1.1916 | 0.6708 | 2.0906 | 1.4197 |
| 50 | 35 | | 0.5318 | 0.0318 | 0.0097 | 0.3834 | 0.6801 | 0.2967 | 0.3550 | 0.7085 | 0.3535 | | 1.4902 | 0.2902 | 0.3362 | 0.6973 | 2.2832 | 1.5859 | 0.5454 | 2.4351 | 1.8896 | 45 | | 0.5152 | 0.0152 | 0.0048 | 0.3892 | 0.6412 | 0.2521 | 0.3650 | 0.6654 | 0.3003 | | 1.3701 | 0.1701 | 0.1509 | 0.8284 | 1.9118 | 1.0834 | 0.7247 | 2.0156 | 1.2909 | 50 | | 0.5117 | 0.0117 | 0.0047 | 0.3929 | 0.6306 | 0.2377 | 0.3701 | 0.6533 | 0.2832 | | 1.3409 | 0.1409 | 0.1264 | 0.8884 | 1.7933 | 0.9048 | 0.8018 | 1.8799 | 1.0781 |
| 100 | 70 | | 0.5261 | 0.0261 | 0.0052 | 0.4225 | 0.6297 | 0.2073 | 0.4026 | 0.6496 | 0.2470 | | 1.3005 | 0.1005 | 0.1041 | 0.8214 | 1.7797 | 0.9583 | 0.7296 | 1.8715 | 1.1419 | 90 | | 0.5223 | 0.0223 | 0.0036 | 0.4317 | 0.6128 | 0.1810 | 0.4144 | 0.6301 | 0.2157 | | 1.2696 | 0.0696 | 0.0451 | 0.9241 | 1.6150 | 0.6908 | 0.8580 | 1.6811 | 0.8231 | 100 | | 0.5223 | 0.0223 | 0.0033 | 0.4363 | 0.6083 | 0.1721 | 0.4198 | 0.6248 | 0.2050 | | 1.2722 | 0.0722 | 0.0419 | 0.9750 | 1.5693 | 0.5943 | 0.9181 | 1.6262 | 0.7081 |
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