n M | n R | True value \( \left( {{r}_{{q_{\text{c}} ,\hat{q}_{\text{c}} }}^{2} } \right) \) | Approximation \( \left( {\hat{r}_{{q_{\text{c}} ,\hat{q}_{\text{c}} }}^{2} } \right) \) | 10th order approximation | \( {\text{E}}\left[ {\hat{r}_{{q_{\text{c}} ,\hat{q}_{\text{c}} }}^{2} } \right] \) |
---|---|---|---|---|---|
1000 | 500 | 0.37 | 0.42 | 0.58 | 0.47 |
1000 | 1000 | 0.56 | 0.73 | 2.47 | 0.82 |
1000 | 1500 | 0.65 | 0.95 | 2.50 | 1.04 |
1000 | 2000 | 0.72 | 1.17 | 2.52 | 1.26 |
1500 | 500 | 0.31 | 0.34 | 0.33 | 0.37 |
1500 | 1000 | 0.46 | 0.56 | 1.87 | 0.63 |
1500 | 1500 | 0.56 | 0.73 | 2.44 | 0.81 |
1500 | 2000 | 0.62 | 0.87 | 2.50 | 0.96 |
2000 | 500 | 0.27 | 0.29 | 0.27 | 0.32 |
2000 | 1000 | 0.40 | 0.46 | 0.89 | 0.52 |
2000 | 1500 | 0.50 | 0.62 | 2.24 | 0.69 |
2000 | 2000 | 0.57 | 0.76 | 2.48 | 0.84 |
2500 | 500 | 0.24 | 0.25 | 0.24 | 0.27 |
2500 | 1000 | 0.36 | 0.40 | 0.49 | 0.45 |
2500 | 1500 | 0.46 | 0.55 | 1.79 | 0.61 |
2500 | 2000 | 0.52 | 0.67 | 2.35 | 0.74 |