Table 2.
Confidence intervals with level a = 95%. Empirical coverage probabilities are reported for the normal approximation confidence interval INA(a), the naive bootstrap intervals IBoot,1(a) and IBoot,2(a), and the random weighted bootstrap intervals IRWB,1(a) and IRWB,2(a). We take γ = 3 or 1/3, σ = 1, G ~ N(0,1), and θ = 0.9 in (1.2).
| (n, p, γ) | INA(0.95) | IBoot,1(0.95) | IBoot,2(0.95) | IRWB,1(0.95) | IRWB,2(0.95) |
|---|---|---|---|---|---|
| (500,0.01,3) | 0.7931 | 0.8928 | 0.9523 | 0.8806 | 0.9508 |
| (500,0.001,3) | 0.6817 | 0.8718 | 0.9512 | 0.8393 | 0.9479 |
| (1200,0.01,3) | 0.8538 | 0.9184 | 0.9491 | 0.9130 | 0.9489 |
| (1200,0.001,3) | 0.7626 | 0.9075 | 0.9480 | 0.8932 | 0.9486 |
| (2500,0.01,3) | 0.8908 | 0.9359 | 0.9480 | 0.9306 | 0.9486 |
| (2500,0.001,3) | 0.8102 | 0.9316 | 0.9478 | 0.9173 | 0.9483 |
| (500,0.01,1/3) | 0.9008 | 0.9102 | 0.9490 | 0.9126 | 0.9483 |
| (500,0.001,1/3) | 0.7852 | 0.7631 | 0.9655 | 0.7162 | 0.9607 |
| (1200,0.01,1/3) | 0.9235 | 0.9301 | 0.9520 | 0.9274 | 0.9524 |
| (1200,0.001,1/3) | 0.8396 | 0.8253 | 0.9572 | 0.7986 | 0.9567 |
| (2500,0.01,1/3) | 0.9375 | 0.9408 | 0.9485 | 0.9399 | 0.9491 |
| (2500,0.001,1/3) | 0.8838 | 0.8843 | 0.9519 | 0.8608 | 0.9532 |