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. Author manuscript; available in PMC: 2014 Apr 1.
Published in final edited form as: J Am Stat Assoc. 2013 Jul 1;108(502):632–643. doi: 10.1080/01621459.2013.766613

Table 2.

Simulation results in the second setting

Model error

n Method γ̄n ζ̄(γn) PSR NSR Median MAD
ESL-LASSO 4.315 0.454 0.939 1.000 0.352 0.231
CQR-LASSO – – – – 1.000 0.781 0.066 0.033
100 LAD-LASSO – – – – 1.000 0.738 0.113 0.061
Oracle – – – – 1.000 1.000 0.051 0.026

ESL-LASSO 4.375 0.629 0.995 1.000 0.148 0.075
CQR-LASSO – – – – 1.000 0.739 0.066 0.033
150 LAD-LASSO – – – – 1.000 0.737 0.070 0.034
Oracle – – – – 1.000 1.000 0.035 0.017

ESL-LASSO 4.449 0.633 1.000 1.000 0.080 0.039
CQR-LASSO – – – – 1.000 0.789 0.046 0.023
200 LAD-LASSO – – – – 1.000 0.712 0.050 0.026
Oracle – – – – 1.000 1.000 0.025 0.013

ESL-LASSO 4.496 0.638 1.000 1.000 0.027 0.012
CQR-LASSO – – – – 1.000 0.864 0.021 0.010
400 LAD-LASSO – – – – 1.000 0.686 0.023 0.011
Oracle – – – – 1.000 1.000 0.012 0.006

ESL-LASSO 4.499 0.642 1.000 1.000 0.015 0.007
CQR-LASSO – – – – 1.000 0.897 0.015 0.007
600 LAD-LASSO – – – – 1.000 0.650 0.016 0.008
Oracle – – – – 1.000 1.000 0.008 0.004

ESL-LASSO 4.499 0.642 1.000 1.000 0.009 0.005
CQR-LASSO – – – – 1.000 0.910 0.010 0.006
800 LAD-LASSO – – – – 1.000 0.633 0.011 0.005
Oracle – – – – 1.000 1.000 0.006 0.003