Table III.
Relative Bias and Relative Root Mean Square Error (in %) for Standard Error Estimates for All Studied Scenarios
Simulation | Standard error estimates | Relative bias (%) | |||||
---|---|---|---|---|---|---|---|
Relative RMSE (%) | |||||||
Scenario | ω 2 | se(α 1) | se(α 2) | se(α 3) | se(β 1) | se(β 2) | se(ω 2) |
A | 4 | 0.00 | 0.13 | 0.18 | – | – | −0.67 |
0.14 | 0.15 | 0.20 | – | – | 0.87 | ||
10 | −0.23 | −0.25 | 0.17 | – | – | −1.28 | |
0.30 | 0.27 | 0.20 | – | – | 1.43 | ||
40 | −0.30 | −0.10 | −0.02 | – | – | −0.51 | |
0.39 | 0.24 | 0.19 | – | – | 0.93 | ||
B | 4 | 0.35 | −0.36 | 0.01 | – | – | −0.69 |
0.44 | 0.42 | 0.46 | – | – | 1.39 | ||
10 | −0.29 | −0.26 | −0.10 | – | – | −0.40 | |
0.49 | 0.36 | 0.49 | – | – | 1.40 | ||
40 | −0.73 | −0.53 | −0.61 | – | – | −1.56 | |
0.96 | 0.66 | 1.01 | – | – | 2.34 | ||
C | 0.5 | −0.17 | −0.12 | −0.09 | – | – | −4.19 |
0.43 | 0.37 | 0.69 | – | – | 6.98 | ||
2 | 0.02 | −0.73 | 0.70 | – | – | −2.03 | |
0.35 | 0.82 | 0.98 | – | – | 3.06 | ||
4 | 0.01 | −0.46 | −0.77 | – | – | −1.56 | |
0.32 | 0.59 | 1.1 | – | – | 2.19 | ||
10 | −0.50 | 0.52 | −1.23 | – | – | −2.01 | |
0.68 | 0.66 | 1.43 | – | – | 2.76 | ||
40 | −1.58 | −0.91 | −0.28 | – | – | −4.27 | |
1.73 | 1.09 | 1.01 | – | – | 4.99 | ||
D | 4 | −0.02 | 0.06 | −0.36 | −0.08 | 1.27 | −0.79 |
0.14 | 0.11 | 0.37 | 0.28 | 1.29 | 0.97 | ||
E | 0.5 | −1.69 | −0.03 | 0.33 | −1.79 | −2.48 | −5.78 |
1.91 | 0.39 | 0.51 | 2.62 | 2.61 | 7.42 | ||
4 | −0.73 | −1.06 | 0.64 | −0.11 | 3.37 | −1.73 | |
0.89 | 1.18 | 0.77 | 0.99 | 3.64 | 2.52 | ||
40 | −1.27 | −0.63 | −0.36 | −0.35 | −0.43 | −2.36 | |
1.43 | 0.84 | 0.66 | 1.09 | 2.35 | 3.39 |
These results correspond to the visual ones shown in the right panel of Fig. 2a–e