Research Article
A New Truncated Muth Generated Family of Distributions with Applications
Table 7
Values of the MLEs, MSEs, and elements of CIs associated with the NTMW model parameters for Set3.
| | MLE | MSE | 90% | 95% | LB | UB | AL | LB | UB | AL |
| 100 | 0.6612 | 0.1665 | 0.1043 | 1.2181 | 1.1138 | −0.0023 | 1.3248 | 1.3270 | 0.7871 | 0.4728 | −0.2513 | 1.8256 | 2.0768 | −0.4501 | 2.0244 | 2.4745 | 1.4427 | 0.0994 | 1.0430 | 1.8424 | 0.7994 | 0.9665 | 1.9190 | 0.9525 |
| 200 | 0.4777 | 0.0097 | 0.2749 | 0.6805 | 0.4056 | 0.2360 | 0.7193 | 0.4833 | 0.4561 | 0.0408 | 0.0964 | 0.8158 | 0.7194 | 0.0275 | 0.8847 | 0.8572 | 1.4844 | 0.0070 | 1.1985 | 1.7703 | 0.5717 | 1.1438 | 1.8250 | 0.6812 |
| 300 | 0.4941 | 0.0046 | 0.3233 | 0.6648 | 0.3415 | 0.2906 | 0.6975 | 0.4069 | 0.5217 | 0.0164 | 0.1963 | 0.8471 | 0.6507 | 0.1340 | 0.9094 | 0.7754 | 1.4864 | 0.0064 | 1.2550 | 1.7179 | 0.4630 | 1.2106 | 1.7623 | 0.5516 |
| 1000 | 0.5000 | 0.0012 | 0.4066 | 0.5934 | 0.1868 | 0.3887 | 0.6112 | 0.2225 | 0.4861 | 0.0040 | 0.3198 | 0.6523 | 0.3325 | 0.2880 | 0.6841 | 0.3962 | 1.5160 | 0.0053 | 1.3887 | 1.6432 | 0.2545 | 1.3644 | 1.6676 | 0.3032 |
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