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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 2.

The simulation results for 2-d double exponential mixture with α = 0.1 over 100 repetitions (mean and one standard deviation). The Lebesgue measure of the ideal set ≈ 55.

Coverage Lebesgue Measure
n = 100 n = 200 n = 1000 n = 100 n = 200 n = 1000
C^(α) 0.895 ± 0.005 0.916 ± 0.003 0.91 ± 0.002 77.7 ± 3 76.6 ± 1.6 62.3 ± 0.6
Ln 0.864 ± 0.006 0.897 ± 0.003 0.90 ± 0.001 66.5 ± 2.3 71.7 ± 1.2 58.3 ± 0.3
Ln+ 0.893 ± 0.005 0.912 ± 0.003 0.92 ± 0.001 86.1 ± 7.4 78.2 ± 1.3 65.0 ± 0.4
C^ZS 0.871 ± 0.004 0.892 ± 0.003 0.897 ± 0.001 58.2 ± 1.5 60.2 ± 1.0 55.2 ± 0.4