Table 2.
Example 2. Confidence intervals and the corresponding coverage based on the empirical likelihood (EL) and normal approximation (Norm) methods
| Sample size | CI(95%) | coverage | |||||
|---|---|---|---|---|---|---|---|
| n | m | cx | cy | EL | Norm | EL | Norm |
| 30 | 30 | 12.5 | 15 | (0.403, 0.777) | (0.245, 1.005) | 96.90 | 100 |
| 20 | (0.411, 0.785) | (0.274, 0.976) | 97.20 | 100 | |||
| 15 | 15 | (0.46, 0.792) | (0.254, 0.996) | 98.05 | 100 | ||
| 20 | (0.455, 0.789) | (0.282, 0.968) | 98.35 | 100 | |||
| 50 | 50 | 12.5 | 15 | (0.460, 0.755) | (0.333, 0.917) | 96.55 | 100 |
| 20 | (0.461, 0.758) | (0.355, 0.895) | 97.40 | 100 | |||
| 15 | 15 | (0.506, 0.769) | (0.341, 0.909) | 98.15 | 100 | ||
| 20 | (0.506, 0.768) | (0.363, 0.887) | 98.35 | 100 | |||
| 100 | 100 | 12.5 | 15 | (0.507, 0.723) | (0.420, 0.830) | 96.05 | 100 |
| 20 | (0.508, 0.722) | (0.435, 0.815) | 96.65 | 100 | |||
| 15 | 15 | (0.553, 0.742) | (0.426, 0.824) | 98.10 | 100 | ||
| 20 | (0.551, 0.740) | (0.440, 0.810) | 98.30 | 100 | |||
CI(95%), approximate 95% confidence interval.