Research Article
Likelihood Inference of Nonlinear Models Based on a Class of Flexible Skewed Distributions
Table 1
Results of the simulation study.
| Method | Model | Error |
Fitting model | Bias and perc. | | | | (%) |
| NR | 1 | Case I | STN | 0.048 | 0.044 | 0.034 | 38.4 | FSN | 0.052 | 0.043 | 0.031 | 30.2 | FSTN | 0.051 | 0.048 | 0.035 | 31.4 | Case II | STN | 0.941 | 0.445 | 0.374 | 10.5 | FSN | 0.035 | 0.014 | 0.011 | 43.8 | FSTN | 0.033 | 0.010 | 0.010 | 45.7 | 2 | Case I | STN | 0.067 | 0.061 | 0.053 | 36.2 | FSN | 0.070 | 0.057 | 0.055 | 30.2 | FSTN | 0.073 | 0.072 | 0.048 | 33.6 | Case II | STN | 0.963 | 0.469 | 0.391 | 8.5 | FSN | 0.047 | 0.023 | 0.017 | 44.6 | FSTN | 0.043 | 0.022 | 0.021 | 46.9 |
| P-NR | 1 | Case I | STN | 0.049 | 0.040 | 0.032 | 32.6 | FSN | 0.050 | 0.047 | 0.038 | 40.1 | FSTN | 0.052 | 0.049 | 0.036 | 27.3 | Case II | STN | 1.029 | 0.420 | 0.248 | 11.4 | FSN | 0.039 | 0.018 | 0.010 | 39.6 | FSTN | 0.038 | 0.017 | 0.009 | 49.0 | 2 | Case I | STN | 0.070 | 0.050 | 0.047 | 30.3 | FSN | 0.067 | 0.057 | 0.056 | 42.3 | FSTN | 0.073 | 0.071 | 0.050 | 27.4 | Case II | STN | 1.052 | 0.446 | 0.265 | 10.2 | FSN | 0.053 | 0.031 | 0.020 | 39.6 | FSTN | 0.052 | 0.022 | 0.017 | 50.2 |
| MP-NR | 1 | Case I | STN | 0.045 | 0.049 | 0.033 | 32.3 | FSN | 0.051 | 0.047 | 0.036 | 38.3 | FSTN | 0.045 | 0.044 | 0.031 | 29.4 | Case II | STN | 0.773 | 0.373 | 0.266 | 14.5 | FSN | 0.031 | 0.018 | 0.011 | 38.4 | FSTN | 0.028 | 0.010 | 0.008 | 47.1 | 2 | Case I | STN | 0.068 | 0.072 | 0.062 | 28.1 | FSN | 0.076 | 0.074 | 0.062 | 41.2 | FSTN | 0.073 | 0.060 | 0.054 | 30.7 | Case II | STN | 0.794 | 0.394 | 0.290 | 11.3 | FSN | 0.037 | 0.026 | 0.017 | 39.4 | FSTN | 0.036 | 0.021 | 0.013 | 49.3 |
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