Research Article
A Logistic Trigonometric Generalized Class of Distribution Characteristics, Applications, and Simulations
Table 4
Monte Carlo simulation results: biases, MSEs, lower bounds, and upper bounds.
| Parameter | | Biases | MSEs | Lower bounds | Upper bounds |
| III | | 30 | 0.032 | 0.001 | 0.069 | 0.095 | 50 | 0.030 | 0.001 | 0.070 | 0.089 | 100 | 0.029 | 0.001 | 0.072 | 0.085 | 200 | 0.028 | 0.001 | 0.073 | 0.083 | 500 | 0.028 | 0.001 | 0.075 | 0.081 | 1000 | 0.027 | 0.001 | 0.075 | 0.080 | | 30 | 5.323 | 34.234 | 4.391 | 8.256 | 50 | 4.738 | 23.996 | 4.456 | 7.021 | 100 | 4.470 | 20.366 | 4.626 | 6.315 | 200 | 4.370 | 19.256 | 4.789 | 5.952 | 500 | 4.330 | 18.796 | 4.965 | 5.694 | 1000 | 4.316 | 18.654 | 5.060 | 5.573 |
| IV | | 30 | 0.006 | 0.000 | 0.014 | 0.019 | 50 | 0.006 | 0.000 | 0.014 | 0.018 | 100 | 0.006 | 0.000 | 0.014 | 0.017 | 200 | 0.005 | 0.000 | 0.015 | 0.016 | 500 | 0.005 | 0.000 | 0.015 | 0.016 | 1000 | 0.005 | 0.000 | 0.015 | 0.016 | | 30 | 7.283 | 63.868 | 5.585 | 11.380 | 50 | 6.404 | 44.189 | 5.708 | 9.500 | 100 | 6.006 | 36.791 | 5.972 | 8.441 | 200 | 5.913 | 35.269 | 6.255 | 7.971 | 500 | 5.855 | 34.396 | 6.518 | 7.592 | 1000 | 5.847 | 34.245 | 6.668 | 7.426 |
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