Research Article
A New Truncated Muth Generated Family of Distributions with Applications
Table 8
Values of the MLEs, MSEs, and elements of CIs associated with the NTMW model parameters for Set4.
| | MLE | MSE | 90% | 95% | LB | UB | AL | LB | UB | AL |
| 100 | 0.3214 | 0.0189 | 0.1339 | 0.4688 | 0.3349 | 0.1018 | 0.5009 | 0.3990 | 0.8798 | 0.5527 | 0.1141 | 1.6456 | 1.5315 | ā0.0326 | 1.7922 | 1.8248 | 1.4424 | 0.2932 | 0.9472 | 1.9376 | 0.9904 | 0.8524 | 2.0324 | 1.1801 |
| 200 | 0.3111 | 0.0033 | 0.1931 | 0.4291 | 0.2359 | 0.1705 | 0.4516 | 0.2811 | 0.8511 | 0.0925 | 0.3345 | 1.4476 | 1.1131 | 0.2279 | 1.5542 | 1.3263 | 1.2647 | 0.0336 | 0.9498 | 1.4595 | 0.5096 | 0.9010 | 1.5083 | 0.6072 |
| 300 | 0.2979 | 0.0029 | 0.2086 | 0.3872 | 0.1786 | 0.1915 | 0.4043 | 0.2128 | 0.8195 | 0.0736 | 0.4051 | 1.2340 | 0.8289 | 0.3257 | 1.3133 | 0.9876 | 1.2368 | 0.0299 | 1.0237 | 1.4499 | 0.4263 | 0.9829 | 1.4907 | 0.5079 |
| 1000 | 0.3064 | 0.0008 | 0.2550 | 0.3579 | 0.1029 | 0.2451 | 0.3677 | 0.1226 | 0.8058 | 0.0161 | 0.6070 | 1.0846 | 0.4776 | 0.5613 | 1.1303 | 0.5690 | 1.2061 | 0.0041 | 1.0914 | 1.3207 | 0.2293 | 1.0695 | 1.3426 | 0.2732 |
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