Research Article
A Flexible Reduced Logarithmic-X Family of Distributions with Biomedical Analysis
Table 1
Simulation results for the FRL-W distribution.
| n | Set 1: , , and . | Parameters | MLEs | MSEs | Biases |
| 25 | | 0.73230 | 0.02214 | 0.03230 | | 2.27575 | 3.38670 | 0.97575 | | 0.55680 | 0.18358 | 0.15680 |
| 50 | | 0.72369 | 0.03247 | 0.02369 | | 2.02097 | 2.45251 | 0.72097 | | 0.50925 | 0.14881 | 0.10925 |
| 100 | | 0.71358 | 0.00752 | 0.01358 | | 1.65810 | 1.07306 | 0.35810 | | 0.44796 | 0.05757 | 0.04796 |
| 200 | | 0.70610 | 0.00352 | 0.00610 | | 1.43857 | 0.32454 | 0.13857 | | 0.41998 | 0.02678 | 0.01998 |
| 400 | | 0.70723 | 0.00154 | 0.00723 | | 1.33560 | 0.06391 | 0.03560 | | 0.40108 | 0.01086 | 0.00108 |
| 600 | | 0.70439 | 0.00079 | 0.00439 | | 1.30650 | 0.01328 | 0.00650 | | 0.39626 | 0.00504 | -0.00373 |
| 800 | | 0.70437 | 0.00054 | 0.00437 | | 1.30093 | 0.00771 | 0.00093 | | 0.39418 | 0.00343 | -0.00581 |
| 900 | | 0.70369 | 0.00046 | 0.00369 | | 1.30177 | 0.00623 | 0.00177 | | 0.39688 | 0.00316 | -0.00311 |
| 1000 | | 0.70168 | 0.00032 | 0.00168 | | 1.30632 | 0.00533 | 0.00632 | | 0.40068 | 0.00248 | 0.00068 |
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