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 | \( {\text{E}}\left[ {\tilde{r}_{{q_{\text{c}} ,\hat{q}_{\text{c}} }}^{2} } \right] \) |
---|---|---|---|---|---|
50 | 500 | 0.92 | 0.91 | 0.91 | 0.91 |
50 | 1000 | 0.96 | 0.95 | 0.94 | 0.95 |
50 | 1500 | 0.96 | 0.97 | 0.97 | 0.96 |
50 | 2000 | 0.97 | 0.97 | 0.97 | 0.97 |
100 | 500 | 0.85 | 0.83 | 0.82 | 0.83 |
100 | 1000 | 0.90 | 0.91 | 0.90 | 0.91 |
100 | 1500 | 0.95 | 0.94 | 0.94 | 0.94 |
100 | 2000 | 0.96 | 0.95 | 0.95 | 0.95 |
250 | 500 | 0.67 | 0.71 | 0.67 | 0.71 |
250 | 1000 | 0.81 | 0.83 | 0.81 | 0.82 |
250 | 1500 | 0.85 | 0.88 | 0.87 | 0.88 |
250 | 2000 | 0.89 | 0.90 | 0.90 | 0.90 |
1000 | 500 | 0.32 | 0.41 | 0.31 | 0.40 |
1000 | 1000 | 0.52 | 0.59 | 0.52 | 0.57 |
1000 | 1500 | 0.62 | 0.68 | 0.64 | 0.67 |
1000 | 2000 | 0.69 | 0.73 | 0.70 | 0.73 |
1500 | 500 | 0.24 | 0.32 | 0.23 | 0.31 |
1500 | 1000 | 0.42 | 0.50 | 0.42 | 0.48 |
1500 | 1500 | 0.52 | 0.60 | 0.53 | 0.59 |
1500 | 2000 | 0.60 | 0.66 | 0.61 | 0.67 |
2000 | 500 | 0.19 | 0.26 | 0.17 | 0.28 |
2000 | 1000 | 0.34 | 0.43 | 0.33 | 0.44 |
2000 | 1500 | 0.46 | 0.53 | 0.46 | 0.53 |
2000 | 2000 | 0.53 | 0.60 | 0.54 | 0.61 |
2500 | 500 | 0.16 | 0.22 | 0.14 | 0.23 |
2500 | 1000 | 0.30 | 0.38 | 0.28 | 0.38 |
2500 | 1500 | 0.40 | 0.48 | 0.39 | 0.47 |
2500 | 2000 | 0.47 | 0.55 | 0.48 | 0.56 |