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. Author manuscript; available in PMC: 2010 Jul 1.
Published in final edited form as: Acta Math Appl Sin. 2009 Jul 1;25(3):427–444. doi: 10.1007/s10255-008-8813-3

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