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. Author manuscript; available in PMC: 2014 Sep 16.
Published in final edited form as: J Am Stat Assoc. 2013 Mar 15;108(501):278–287. doi: 10.1080/01621459.2012.751873

Table 1.

The simulation results for 2-d Gaussian mixture with α = 0.1 over 100 repetitions (mean and one standard deviation). The Lebesgue measure of the ideal set ≈ 28.02.

Coverage Lebesgue Measure
n = 100 n = 200 n = 1000 n = 100 n = 200 n = 1000
C^(α) 0.886 ± 0.005 0.897 ± 0.002 0.900 ± 0.001 35.6 ± 0.7 34.3 ± 0.3 31.1 ± 0.2
Ln 0.861 ± 0.004 0.882 ± 0.001 0.896 ± 0.001 29.8 ± 0.3 34.1 ± 0.2 32.2 ± 0.1
Ln+ 0.907 ± 0.003 0.900 ± 0.001 0.907 ± 0.001 36.2 ± 0.4 36.9 ± 0.2 34.1 ± 0.1
C^ZS 0.853 ± 0.004 0.867 ± 0.002 0.881 ± 0.001 28.1 ± 0.4 28.2 ± 0.2 28.0 ± 0.1