Table 3 The ALC’s for Credible intervals for \(BS\left(\alpha ,\beta \right).\)
n | Credible intervals | |||||
|---|---|---|---|---|---|---|
\(BS(\alpha ,\beta )\) | ||||||
\(\left(\alpha ,\beta \right)=\left(\mathrm{1.25,3}\right)\) | ||||||
ACL | ||||||
Prior 1 | Prior 2 | Prior3 | ||||
\(\alpha \) | \(\beta \) | \(\alpha \) | \(\beta \) | \(\alpha \) | \(\beta \) | |
50 | 0.9457 | 0.9439 | 0.9533 | 0.9322 | 0.9385 | 0.9589 |
100 | 0.9411 | 0.9545 | 0.9462 | 0.9315 | 0.9471 | 0.9604 |
200 | 0.9560 | 0.9337 | 0.9608 | 0.9458 | 0.9594 | 0.9474 |
500 | 0.9522 | 0.9245 | 0.9362 | 0.9513 | 0.9549 | 0.9313 |
\(\left(\alpha ,\beta \right)=\left(\mathrm{0.5,3}\right)\) | ||||||
50 | 0.9406 | 0.9413 | 0.9480 | 0.9517 | 0.9443 | 0.9607 |
100 | 0.9448 | 0.9422 | 0.9296 | 0.9505 | 0.9416 | 0.9395 |
200 | 0.9429 | 0.9313 | 0.9281 | 0.9530 | 0.9251 | 0.9441 |
500 | 0.9466 | 0.9486 | 0.9489 | 0.9465 | 0.9353 | 0.9521 |
\(\left(\alpha ,\beta \right)=\left(\mathrm{1,3}\right)\) | ||||||
50 | 0.9279 | 0.9498 | 0.9489 | 0.9378 | 0.9442 | 0.9456 |
100 | 0.9531 | 0.9385 | 0.9372 | 0.9425 | 0.9439 | 0.9499 |
200 | 0.9330 | 0.9340 | 0.9389 | 0.9498 | 0.9382 | 0.9372 |
500 | 0.9423 | 0.9378 | 0.9411 | 0.9414 | 0.9513 | 0.9437 |
