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 | P̂ | P̂naive | P̂smooth | 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 |