Table 1.
Simulation Results for Sampling Scheme I when d = 20
(β1, β2) | σ | XLCM | Profile | SCAD | Oracle | XLCM | Profile | SCAD | Oracle |
---|---|---|---|---|---|---|---|---|---|
m(x) = 4 cos(2πx) | |||||||||
n = 100 |
n = 500 |
||||||||
(0.5,0) | 0.5 | 3.04 | 1.08 | 7.05 | 8.71 | 12.27 | 12.35 | 13.72 | 14.07 |
(0.7,0) | 0.5 | 14.84 | 13.63 | 17.72 | 18.46 | 26.03 | 26.08 | 27.00 | 27.18 |
(0.5,0.4) | 0.5 | 17.18 | 17.05 | 18.59 | 19.12 | 30.32 | 30.41 | 30.73 | 30.70 |
(0.7,0.2) | 0.5 | 19.96 | 19.92 | 20.99 | 21.67 | 33.08 | 33.16 | 33.47 | 33.50 |
(0.5,0) | 1 | 1.16 | 1.07 | 5.65 | 6.47 | 10.91 | 10.87 | 12.48 | 12.72 |
(0.7,0) | 1 | 12.87 | 11.21 | 15.62 | 15.78 | 24.08 | 24.01 | 25.10 | 25.18 |
(0.5,0.4) | 1 | 15.54 | 15.23 | 16.73 | 17.09 | 27.68 | 27.71 | 28.07 | 28.09 |
(0.7,0.2) | 1 | 18.39 | 18.09 | 19.42 | 19.66 | 30.44 | 30.47 | 30.75 | 30.82 |
m(x) = exp(2x) | |||||||||
n = 100 |
n = 500 |
||||||||
(0.5,0) | 0.5 | 3.79 | 4.70 | 5.00 | 4.21 | 4.39 | 3.57 | 6.53 | 5.91 |
(0.7,0) | 0.5 | 12.26 | 11.29 | 13.45 | 14.80 | 16.00 | 15.79 | 16.40 | 16.47 |
(0.5,0.4) | 0.5 | 13.48 | 12.31 | 13.79 | 14.33 | 22.50 | 22.38 | 22.70 | 22.75 |
(0.7,0.2) | 0.5 | 16.07 | 14.99 | 16.06 | 16.63 | 25.00 | 24.87 | 25.18 | 25.23 |
(0.5,0) | 1 | 5.53 | 3.85 | 6.90 | 6.71 | 6.40 | 6.02 | 8.13 | 8.18 |
(0.7,0) | 1 | 14.24 | 13.27 | 14.39 | 15.25 | 15.66 | 15.69 | 16.75 | 16.64 |
(0.5,0.4) | 1 | 13.60 | 12.36 | 14.06 | 14.51 | 22.20 | 22.09 | 22.42 | 22.47 |
(0.7,0.2) | 1 | 16.41 | 15.29 | 16.56 | 16.59 | 24.64 | 24.52 | 24.78 | 24.90 |