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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 3.

The simulation results for 3-d Gaussian mixture with α = 0.1 over 100 repetitions (mean and one standard deviation). The Lebesgue measure of the ideal set ≈ 62.

Coverage Lebesgue Measure
n = 100 n = 200 n = 1000 n = 100 n = 200 n = 1000
C^(α) 0.917 ± 0.004 0.902 ± 0.003 0.900 ± 0.002 109 ± 2.4 89 ± 1.5 74 ± 0.7
Ln 0.875 ± 0.005 0.880 ± 0.003 0.889 ± 0.002 109 ± 2.1 98 ± 1.5 81 ± 0.7
Ln+ 0.892 ± 0.004 0.898 ± 0.003 0.916 ± 0.002 118 ± 2.2 109 ± 1.6 96 ± 0.9
C^ZS 0.869 ± 0.003 0.872 ± 0.002 0.879 ± 0.001 75 ± 1.3 69 ± 0.8 64 ± 0.4