Table 2.
Simulation Results for Sampling Scheme II 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 | 0.70 | 2.10 | 6.33 | 10.05 | 11.7 | 12.07 | 13.85 | 14.00 |
(0.7,0) | 0.5 | 13.23 | 10.62 | 19.41 | 20.97 | 25.07 | 25.38 | 26.52 | 26.57 |
(0.5,0.4) | 0.5 | 17.22 | 17.54 | 20.52 | 21.87 | 27.19 | 27.36 | 27.79 | 27.76 |
(0.7,0.2) | 0.5 | 19.55 | 20.48 | 23.52 | 24.42 | 29.89 | 30.09 | 30.46 | 30.47 |
(0.5,0) | 1 | 1.45 | 1.80 | 6.41 | 8.35 | 10.74 | 10.94 | 12.85 | 12.89 |
(0.7,0) | 1 | 13.19 | 10.44 | 19.45 | 20.06 | 23.38 | 23.56 | 24.81 | 24.76 |
(0.5,0.4) | 1 | 16.53 | 16.54 | 19.51 | 20.41 | 27.26 | 27.43 | 27.87 | 27.83 |
(0.7,0.2) | 1 | 19.11 | 19.35 | 22.27 | 22.93 | 29.97 | 30.17 | 30.54 | 30.55 |
m(x) = exp(2x) | |||||||||
n = 100 |
n = 500 |
||||||||
(0.5,0) | 0.5 | 0.23 | 0.96 | 1.17 | 3.82 | 1.62 | 0.95 | 2.54 | 2.59 |
(0.7,0) | 0.5 | 9.30 | 8.83 | 12.66 | 13.69 | 13.37 | 12.75 | 13.83 | 13.74 |
(0.5,0.4) | 0.5 | 14.74 | 13.65 | 15.91 | 16.57 | 20.16 | 19.96 | 20.54 | 20.42 |
(0.7,0.2) | 0.5 | 17.48 | 16.62 | 18.93 | 19.48 | 22.60 | 22.41 | 22.91 | 22.88 |
(0.5,0) | 1 | 3.39 | 3.38 | 7.23 | 8.19 | 1.27 | 2.40 | 5.97 | 5.97 |
(0.7,0) | 1 | 9.72 | 7.03 | 14.44 | 14.74 | 12.54 | 11.76 | 13.13 | 13.03 |
(0.5,0.4) | 1 | 15.31 | 14.24 | 16.73 | 17.23 | 20.21 | 20.02 | 20.60 | 20.48 |
(0.7,0.2) | 1 | 17.79 | 16.88 | 19.49 | 19.89 | 22.70 | 22.53 | 22.99 | 23.03 |