Table 2.
MLEs, RMSEs, and RABs with true values of α = 1.7, β = 1.3, θ = 1.5, and (τ = 0.50, T0 = 0.80).
| (n, m) | CS | Type-II PCS | Type-I PHCS | ||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| α | β | θ | α | β | θ | ||||||||||||||
| MLE | RMSE | RAB | MLE | RMSE | RAB | MLE | RMSE | RAB | MLE | RMSE | RAB | MLE | RMSE | RAB | MLE | RMSE | RAB | ||
| (80, 50) | 1 | 1.713 | 0.525 | 0.436 | 1.498 | 0.411 | 0.341 | 1.678 | 0.529 | 0.439 | 1.885 | 0.58 | 0.481 | 1.486 | 0.56 | 0.465 | 1.687 | 0.272 | 0.226 |
| (80, 60) | 1 | 1.725 | 0.48 | 0.398 | 1.602 | 0.37 | 0.307 | 1.598 | 0.434 | 0.36 | 1.875 | 0.415 | 0.344 | 1.519 | 0.335 | 0.278 | 1.687 | 0.26 | 0.216 |
| (100, 60) | 1 | 1.692 | 0.462 | 0.383 | 1.62 | 0.33 | 0.274 | 1.771 | 0.406 | 0.337 | 1.578 | 0.33 | 0.274 | 1.497 | 0.33 | 0.274 | 1.763 | 0.253 | 0.21 |
| (100, 70) | 1 | 1.62 | 0.454 | 0.366 | 1.603 | 0.309 | 0.256 | 1.554 | 0.406 | 0.337 | 1.799 | 0.29 | 0.241 | 1.469 | 0.305 | 0.253 | 1.737 | 0.243 | 0.202 |
| (120, 70) | 1 | 1.658 | 0.434 | 0.356 | 1.496 | 0.285 | 0.237 | 1.68 | 0.397 | 0.33 | 1.641 | 0.265 | 0.22 | 1.436 | 0.301 | 0.25 | 1.738 | 0.232 | 0.193 |
| (120, 80) | 1 | 1.762 | 0.424 | 0.348 | 1.593 | 0.285 | 0.237 | 1.579 | 0.378 | 0.314 | 1.694 | 0.027 | 0.022 | 1.522 | 0.274 | 0.227 | 1.681 | 0.212 | 0.176 |
| (80, 50) | 2 | 1.717 | 0.534 | 0.443 | 1.583 | 0.373 | 0.31 | 1.872 | 0.449 | 0.373 | 1.774 | 0.618 | 0.513 | 1.493 | 0.629 | 0.522 | 1.754 | 0.336 | 0.279 |
| (80, 60) | 2 | 1.729 | 0.479 | 0.398 | 1.56 | 0.332 | 0.276 | 1.643 | 0.435 | 0.361 | 1.773 | 0.469 | 0.389 | 1.344 | 0.332 | 0.276 | 1.688 | 0.277 | 0.23 |
| (100, 60) | 2 | 1.612 | 0.421 | 0.349 | 1.492 | 0.315 | 0.261 | 1.971 | 0.39 | 0.324 | 1.685 | 0.435 | 0.361 | 1.626 | 0.331 | 0.275 | 1.734 | 0.257 | 0.213 |
| (100, 70) | 2 | 1.759 | 0.417 | 0.346 | 1.481 | 0.315 | 0.261 | 1.534 | 0.384 | 0.319 | 1.603 | 0.237 | 0.197 | 1.511 | 0.301 | 0.25 | 1.721 | 0.253 | 0.21 |
| (120, 70) | 2 | 1.687 | 0.397 | 0.33 | 1.575 | 0.283 | 0.235 | 1.714 | 0.381 | 0.316 | 1.591 | 0.15 | 0.125 | 1.614 | 0.266 | 0.221 | 1.709 | 0.227 | 0.188 |
| (120, 80) | 2 | 1.654 | 0.356 | 0.295 | 1.597 | 0.236 | 0.196 | 1.62 | 0.303 | 0.251 | 1.536 | 0.149 | 0.124 | 1.526 | 0.257 | 0.213 | 1.725 | 0.213 | 0.177 |
| (80, 50) | 3 | 1.738 | 0.473 | 0.393 | 1.605 | 0.407 | 0.338 | 1.502 | 0.465 | 0.386 | 1.851 | 0.589 | 0.489 | 1.529 | 0.425 | 0.353 | 1.718 | 0.256 | 0.212 |
| (80, 60) | 3 | 1.712 | 0.449 | 0.373 | 1.401 | 0.375 | 0.311 | 1.892 | 0.44 | 0.365 | 1.557 | 0.475 | 0.394 | 1.603 | 0.304 | 0.252 | 1.717 | 0.253 | 0.21 |
| (100, 60) | 3 | 1.755 | 0.446 | 0.37 | 1.369 | 0.327 | 0.271 | 1.832 | 0.402 | 0.334 | 1.879 | 0.344 | 0.286 | 1.498 | 0.303 | 0.251 | 1.744 | 0.251 | 0.208 |
| (100, 70) | 3 | 1.692 | 0.409 | 0.339 | 1.604 | 0.319 | 0.265 | 1.498 | 0.396 | 0.329 | 1.766 | 0.267 | 0.222 | 1.257 | 0.287 | 0.238 | 1.659 | 0.235 | 0.195 |
| (120, 70) | 3 | 1.661 | 0.378 | 0.314 | 1.538 | 0.31 | 0.257 | 1.822 | 0.379 | 0.315 | 1.627 | 0.259 | 0.215 | 1.509 | 0.278 | 0.231 | 1.813 | 0.205 | 0.17 |
| (120, 80) | 3 | 1.619 | 0.356 | 0.295 | 1.542 | 0.305 | 0.253 | 1.534 | 0.292 | 0.242 | 1.677 | 0.105 | 0.087 | 1.309 | 0.273 | 0.227 | 1.712 | 0.202 | 0.168 |