n M | n R | True value \( \left( {{r}_{{q_{\text{c}} ,\hat{q}_{\text{c}} }}^{2} } \right) \) | Approximation \( \left( {\tilde{r}_{{q_{\text{c}} ,\hat{q}_{\text{c}} }}^{2} } \right) \) | 10th order approximation | \( {\text{E}}\left[ {\tilde{r}_{{q_{\text{c}} ,\hat{q}_{\text{c}} }}^{2} } \right] \) |
---|---|---|---|---|---|
1000 | 500 | 0.37 | 0.46 | 0.35 | 0.46 |
1000 | 1000 | 0.53 | 0.60 | 0.54 | 0.61 |
1000 | 1500 | 0.64 | 0.70 | 0.65 | 0.69 |
1000 | 2000 | 0.71 | 0.75 | 0.72 | 0.75 |
1500 | 500 | 0.30 | 0.39 | 0.26 | 0.40 |
1500 | 1000 | 0.47 | 0.55 | 0.46 | 0.51 |
1500 | 1500 | 0.56 | 0.63 | 0.56 | 0.61 |
1500 | 2000 | 0.63 | 0.69 | 0.64 | 0.68 |
2000 | 500 | 0.27 | 0.36 | 0.22 | 0.35 |
2000 | 1000 | 0.40 | 0.49 | 0.38 | 0.48 |
2000 | 1500 | 0.50 | 0.58 | 0.50 | 0.56 |
2000 | 2000 | 0.57 | 0.64 | 0.57 | 0.62 |
2500 | 500 | 0.24 | 0.33 | 0.20 | 0.32 |
2500 | 1000 | 0.34 | 0.44 | 0.31 | 0.45 |
2500 | 1500 | 0.44 | 0.53 | 0.43 | 0.53 |
2500 | 2000 | 0.37 | 0.46 | 0.35 | 0.46 |