Table 2 The average lengths of the confidence interval and the corresponding coverage percentages (with brackets)
From: The estimation of the Burr-XII parameters with middle-censored data
n | (0.25,0.25) | (0.5,0.5) | (0.5,0.75) | (1,0.75) | (1.25,0.5) | |||||
|---|---|---|---|---|---|---|---|---|---|---|
a | b | a | b | a | B | a | b | a | b | |
10 | 1.376 | 1.353 | 1.503 | 1.368 | 1.538 | 1.346 | 1.351 | 1.412 | 1.404 | 1.289 |
(0.96) | (0.97) | (0.97) | (0.96) | (0.97) | (0.97) | (0.96) | (0.96) | (0.97) | (0.96) | |
30 | 0.703 | 0.737 | 0.748 | 0.796 | 0.767 | 0.725 | 0.730 | 0.796 | 0.777 | 0.784 |
(0.96) | (0.96) | (0.96) | (0.96) | (0.96) | (0.96) | (0.96) | (0.96) | (0.96) | (0.96) | |
50 | 0.583 | 0.515 | 0.567 | 0.533 | 0.539 | 0.582 | 0.582 | 0.510 | 0.538 | 0.495 |
(0.94) | (0.95) | (0.94) | (0.95) | (0.95) | (0.96) | (0.95) | (0.95) | (0.94) | (0.95) | |
70 | 0.416 | 0.441 | 0.479 | 0.470 | 0.468 | 0.452 | 0.448 | 0.442 | 0.463 | 0.476 |
(0.96) | (0.95) | (0.96) | (0.96) | (0.95) | (0.95) | (0.95) | (0.94) | (0.95) | (0.95) | |
100 | 0.356 | 0.349 | 0.368 | 0.371 | 0.358 | 0.345 | 0.375 | 0.317 | 0.328 | 0.368 |
(0.95) | (0.95) | (0.94) | (0.95) | (0.95) | (0.95) | (0.94) | (0.95) | (0.95) | (0.94) | |