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. Author manuscript; available in PMC: 2013 Feb 27.
Published in final edited form as: Stat Sin. 2012;22:95–122. doi: 10.5705/ss.2010.034

Table 2.

Uniform coverage rates and average maximal widths of confidence intervals from 200 replications using the confidence bands (4.2), (5.1), and the smoothed bands respectively, for 1 − α = 0.99.

n σ Ns naive smooth W Wnaive Wsmooth

20 0.5 8 0.820 0.505 0.910 1.490 1.210 1.480
12 0.930 0.765 0.955 1.644 1.363 1.628

1.0 8 0.910 0.655 0.970 1.725 1.401 1.721
12 0.960 0.820 0.985 1.937 1.606 1.928

50 0.5 44 0.990 0.960 0.990 1.651 1.522 1.609

1.0 44 0.990 0.975 1.000 2.054 1.893 2.016