Research Article
A Flexible Reduced Logarithmic-X Family of Distributions with Biomedical Analysis
Table 2
Simulation results for the FRL-W distribution.
| n | Set 2: , and | Parameters | MLEs | MSEs | Biases |
| 25 | | 1.31799 | 0.15082 | −0.08200 | | 2.88652 | 3.78920 | 1.28652 | | 1.49688 | 0.30417 | 0.29688 |
| 50 | | 1.32352 | 0.10232 | −0.07647 | | 2.53513 | 2.56035 | 0.93513 | | 1.39342 | 0.18134 | 0.19342 |
| 100 | | 1.36510 | 0.05251 | −0.03489 | | 2.03725 | 0.98667 | 0.43725 | | 1.30355 | 0.08545 | 0.10355 |
| 200 | | 1.38677 | 0.03109 | −0.01322 | | 1.84218 | 0.60026 | 0.24218 | | 1.24274 | 0.03853 | 0.04274 |
| 400 | | 1.40246 | 0.01610 | 0.00246 | | 1.65938 | 0.18038 | 0.05938 | | 1.21117 | 0.01882 | 0.01117 |
| 600 | | 1.39853 | 0.01378 | −0.00146 | | 1.64008 | 0.09977 | 0.04008 | | 1.20870 | 0.01429 | 0.00870 |
| 800 | | 1.40399 | 0.00915 | 0.00399 | | 1.61715 | 0.06442 | 0.01715 | | 1.20592 | 0.01063 | 0.00592 |
| 900 | | 1.40783 | 0.00784 | 0.00783 | | 1.60754 | 0.05594 | 0.00753 | | 1.20124 | 0.00877 | 0.00123 |
| 1000 | | 1.40750 | 0.00765 | 0.00750 | | 1.60425 | 0.04333 | 0.00425 | | 1.19986 | 0.00839 | 0.00013 |
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