Table 7.
HPP intervals for the prediction of simulated data with p = 0.4, , and .
| n | h | MLE | WE | TSWE | MELE | Bootstrap | |
|---|---|---|---|---|---|---|---|
| n = 50 | 1 | HPPI | (0, 3.40) | (0.01, 3.20) | (0, 3.10) | (0 3.50) | (0, 3.40 ) |
| CP( ) | 0.96 | 0.96 | 0.95 | 0.96 | 0.96 | ||
| 2 | HPPI | (0.01, 3.52) | (0, 3.25) | (0, 3.61) | (0 3.55) | (0.02, 3.42) | |
| CP( ) | 0.96 | 0.96 | 0.96 | 0.96 | 0.95 | ||
| 3 | HPPI | (0, 3.48) | (0, 3.27) | (0, 3.72) | (0, 3.60) | (0, 3.45) | |
| CP( ) | 0.96 | 0.96 | 0.96 | 0.96 | 0.95 | ||
| 4 | HPPI | (0.02, 3.47) | (0, 3.25) | (0.01, 3.65) | (0, 3.62) | (0, 3.51) | |
| CP( ) | 0.96 | 0.95 | 0.96 | 0.95 | 0.96 | ||
| n = 100 | 1 | HPPI | (0, 3.14) | (0, 3.20) | (0, 3.13) | (0, 3.52) | (0,3.18) |
| CP( ) | 0.95 | 0.95 | 0.96 | 0.96 | 0.96 | ||
| 2 | HPPI | (0, 3.28) | (0, 3.22) | (0, 3.24) | (0 3.53) | (0, 3.22) | |
| CP( ) | 0.96 | 0.96 | 0.96 | 0.96 | 0.96 | ||
| 3 | HPPI | (0, 3.31) | (0, 3.25) | (0, 3.22) | (0, 3.57) | (0, 3.25) | |
| CP( ) | 0.96 | 0.96 | 0.95 | 0.96 | 0.95 | ||
| 4 | HPPI | (0, 3.36) | (0, 3.27) | (0, 3.20) | (0, 3.51) | (0, 3.28) | |
| CP( ) | 0.96 | 0.96 | 0.96 | 0.95 | 0.96 | ||
| n = 200 | 1 | HPPI | (0, 3.09) | (0, 3.06) | (0 2.91) | (0, 3.12) | (0, 3.02) |
| CP( ) | 0.95 | 0.96 | 0.96 | 0.96 | 0.96 | ||
| 2 | HPPI | (0, 3.17) | (0, 3.07) | (0, 3.04) | (0 3.09) | (0, 3.05) | |
| CP( ) | 0.96 | 0.96 | 0.96 | 0.96 | 0.96 | ||
| 3 | HPPI | (0, 3.18) | (0, 3.11) | (0, 3.08) | (0, 3.17) | (0, 3.03) | |
| CP( ) | 0.96 | 0.96 | 0.96 | 0.96 | 0.96 | ||
| 4 | HPPI | (0, 3.14) | (0, 3.12) | (0, 3.12) | (0, 3.15) | (0, 3.08) | |
| CP( ) | 0.96 | 0.96 | 0.96 | 0.96 | 0.96 | ||
| n = 500 | 1 | HPPI | (0, 3.03) | (0, 2.96) | (0 2.85) | (0, 2.82) | (0, 2.84) |
| CP( ) | 0.97 | 0.96 | 0.96 | 0.96 | 0.97 | ||
| 2 | HPPI | (0, 3.07) | (0, 2.97) | (0, 2.89) | (0 2.83) | (0, 2.85) | |
| CP( ) | 0.97 | 0.96 | 0.96 | 0.96 | 0.96 | ||
| 3 | HPPI | (0, 3.08) | (0, 3.02) | (0, 2.99) | (0, 2.81) | (0, 2.87) | |
| CP( ) | 0.96 | 0.96 | 0.96 | 0.96 | 0.95 | ||
| 4 | HPPI | (0, 3.06) | (0, 3.06) | (0, 3.08) | (0, 2.85) | (0, 2.88) | |
| CP( ) | 0.96 | 0.96 | 0.96 | 0.96 | 0.96 | ||
| n = 1000 | 1 | HPPI | (0, 2.86) | (0, 2.78) | (0, 2.64) | (0, 2.52) | (0, 2.41) |
| CP( ) | 0.96 | 0.96 | 0.96 | 0.96 | 0.97 | ||
| 2 | HPPI | (0, 2.98) | (0, 2.86) | (0, 2.65) | (0 2.59) | (0, 2.55) | |
| CP( ) | 0.96 | 0.96 | 0.96 | 0.96 | 0.96 | ||
| 3 | HPPI | (0, 3.01) | (0, 2.94) | (0, 2.83) | (0, 2.62) | (0, 2.52) | |
| CP( ) | 0.96 | 0.96 | 0.96 | 0.95 | 0.97 | ||
| 4 | HPPI | (0, 2.98) | (0, 2.94) | (0, 2.93) | (0, 2.78) | (0, 2.51) | |
| CP( ) | 0.96 | 0.96 | 0.95 | 0.95 | 0.95 |