Bias and RMSE of ELCM estimator of two-parameter transformed gumbel copula
| n | τ = 0.01 | τ = 0.5 | τ = 0.8 | CPU | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| α = 0.1 | β = 1.059 | α = 0.5 | β = 1.6 | α = 0.9 | β = 3.45 | ||||||||
| Bias | RMSE | Bias | RMSE | Bias | RMSE | Bias | RMSE | Bias | RMSE | Bias | RMSE | ||
| 50 | 0.047 | 0.103 | 0.024 | 0.138 | 0.033 | 0.118 | 0.012 | 0.213 | 0.036 | 0.113 | 0.073 | 0.349 | 1.462 hours |
| 100 | 0.023 | 0.088 | 0.022 | 0.100 | 0.019 | 0.057 | 0.009 | 0.126 | 0.021 | 0.071 | 0.014 | 0.294 | 3.025 hours |
| 200 | 0.009 | 0.079 | 0.011 | 0.057 | 0.007 | 0.046 | 0.008 | 0.097 | 0.004 | 0.064 | 0.026 | 0.105 | 4.710 hours |
| 500 | 0.003 | 0.035 | 0.009 | 0.040 | 0.001 | 0.029 | 0.003 | 0.092 | 0.002 | 0.018 | 0.007 | 0.112 | 7.221 hours |
| CPU | |||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Bias | RMSE | Bias | RMSE | Bias | RMSE | Bias | RMSE | Bias | RMSE | Bias | RMSE | ||
| 50 | 0.047 | 0.103 | 0.024 | 0.138 | 0.033 | 0.118 | 0.012 | 0.213 | 0.036 | 0.113 | 0.073 | 0.349 | 1.462 hours |
| 100 | 0.023 | 0.088 | 0.022 | 0.100 | 0.019 | 0.057 | 0.009 | 0.126 | 0.021 | 0.071 | 0.014 | 0.294 | 3.025 hours |
| 200 | 0.009 | 0.079 | 0.011 | 0.057 | 0.007 | 0.046 | 0.008 | 0.097 | 0.004 | 0.064 | 0.026 | 0.105 | 4.710 hours |
| 500 | 0.003 | 0.035 | 0.009 | 0.040 | 0.001 | 0.029 | 0.003 | 0.092 | 0.002 | 0.018 | 0.007 | 0.112 | 7.221 hours |
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