Research Article
Gompertz Ampadu Class of Distributions: Properties and Applications
Table 1
Monte Carlo simulation results of GA_L.
| True parameter value | ABIASS | RMSE | | | | | | | | | | | | | | | | |
| 0.3 | 0.3 | 0.4 | 0.5 | 0.2 | 50 | 4.267 | 0.235 | 0.027 | 0.356 | 0.027 | 4.786 | 0.143 | 1.440 | 0.379 | 2.443 | | | | | | 100 | 3.973 | 0.230 | 0.026 | 0.324 | 0.026 | 5.552 | 0.236 | 0.478 | 0.339 | 1.378 | | | | | | 150 | 3.324 | 0.253 | 0.021 | 0.302 | 0.021 | 5.122 | 0.228 | 0.822 | 0.340 | 2.722 | | | | | | 200 | 3.240 | 0.321 | 0.021 | 0.295 | 0.021 | 3.084 | 0.226 | 0.290 | 0.305 | 1.191 | | | | | | 500 | 3.240 | 0.321 | 0.021 | 0.295 | 0.021 | 3.084 | 0.226 | 0.290 | 0.305 | 1.191 | | | | | | 1000 | 0.240 | 0.001 | 0.001 | 0.095 | 0.001 | 1.084 | 0.006 | 0.090 | 0.005 | 0.091 | 0.3 | 0.3 | 0.2 | 0.5 | 0.2 | 50 | 5.302 | 0.325 | 0.029 | 0.032 | 0.021 | 3.058 | 0.354 | 0.196 | 0.260 | 1.096 | | | | | | 100 | 4.507 | 0.309 | 0.027 | 0.041 | 0.008 | 5.810 | 0.332 | 0.182 | 0.242 | 1.082 | | | | | | 150 | 4.200 | 0.301 | 0.046 | 0.023 | 0.036 | 5.472 | 0.321 | 0.254 | 0.237 | 0.255 | | | | | | 200 | 3.892 | 0.388 | 0.054 | 0.025 | 0.035 | 5.115 | 0.308 | 0.233 | 0.268 | 0.233 | | | | | | 500 | 3.092 | 0.088 | 0.044 | 0.015 | 0.025 | 5.015 | 0.208 | 0.133 | 0.168 | 0.133 | | | | | | 1000 | 0.092 | 0.008 | 0.004 | 0.005 | 0.005 | 4.015 | 0.008 | 0.033 | 0.068 | 0.033 | 0.6 | 0.3 | 0.3 | 0.4 | 0.1 | 50 | 1.061 | 0.113 | 0.049 | 0.012 | 0.038 | 5.337 | 0.359 | 0.256 | 0.203 | 0.356 | | | | | | 100 | 1.021 | 0.111 | 0.035 | 0.012 | 0.026 | 5.167 | 0.345 | 0.289 | 0.203 | 0.389 | | | | | | 150 | 1.012 | 0.108 | 0.030 | 0.012 | 0.021 | 5.087 | 0.336 | 0.131 | 0.202 | 0.333 | | | | | | 200 | 1.006 | 0.110 | 0.031 | 0.012 | 0.022 | 5.066 | 0.439 | 0.374 | 0.302 | 0.374 | | | | | | 500 | 1.005 | 0.010 | 0.021 | 0.010 | 0.012 | 5.056 | 0.339 | 0.274 | 0.202 | 0.274 | | | | | | 1000 | 0.005 | 0.000 | 0.001 | 0.000 | 0.002 | 2.056 | 0.039 | 0.074 | 0.002 | 0.074 | 0.3 | 0.1 | 0.4 | 0.2 | 0.5 | 50 | 4.002 | 0.152 | 0.088 | 0.047 | 0.079 | 3.853 | 0.467 | 0.143 | 0.454 | 0.643 | | | | | | 100 | 2.277 | 0.126 | 0.191 | 0.025 | 0.182 | 3.205 | 0.548 | 0.312 | 0.333 | 3.313 | | | | | | 150 | 1.697 | 0.115 | 0.045 | 0.019 | 0.036 | 3.548 | 0.536 | 0.116 | 0.523 | 4.116 | | | | | | 200 | 1.336 | 0.188 | 0.037 | 0.042 | 0.028 | 3.028 | 0.526 | 0.227 | 0.516 | 5.127 | | | | | | 500 | 1.036 | 0.088 | 0.027 | 0.032 | 0.018 | 3.018 | 0.426 | 0.127 | 0.416 | 5.027 | | | | | | 1000 | 0.036 | 0.008 | 0.007 | 0.002 | 0.008 | 1.018 | 0.006 | 0.027 | 0.016 | 2.027 |
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Values in bold are the true parameter values of the GA_L.
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