Table 4.
Simulation results when L = 3 (Bias: Empirical bias × 103; SE: empirical standard deviations × 103; ASEs: average of estimated standard deviation based on smooth bootstrap × 103; CPs: empirical coverage probabilities of 95% confidence intervals × 102 based on smooth bootstrap).
| σ | n |
ϑ
κ
|
ϑ
τ
|
ϑ
CC
|
|||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Bias | SE | ASEs | CPs | Bias | SE | ASEs | CPs | Bias | SE | ASEs | CPs | ||
| 0.6 | 50 | −22 | 227 | 242 | 94.3 | −83 | 232 | 252 | 93.4 | −49 | 231 | 244 | 94.2 |
| 22 | 235 | 238 | 92.5 | 75 | 240 | 249 | 92.5 | −47 | 235 | 241 | 92.1 | ||
| 100 | −29 | 187 | 197 | 93.4 | −82 | 202 | 213 | 91.3 | −51 | 184 | 198 | 91.8 | |
| 21 | 196 | 199 | 92.6 | 72 | 211 | 213 | 91.0 | −47 | 196 | 199 | 92.3 | ||
| 200 | −38 | 152 | 159 | 92.6 | −82 | 167 | 173 | 90.0 | −34 | 153 | 159 | 92.6 | |
| 42.2 | 148 | 159 | 94.0 | 85 | 159 | 173 | 92.1 | −27 | 148 | 159 | 94.3 | ||
| 1.0 | 50 | 31 | 408 | 416 | 92.0 | −41 | 474 | 511 | 92.5 | −89 | 433 | 445 | 91.2 |
| −20 | 415 | 419 | 90.6 | 64 | 487 | 509 | 93.3 | −94 | 435 | 449 | 92.8 | ||
| 100 | 8 | 320 | 335 | 92.7 | −37 | 408 | 430 | 93.3 | −77 | 339 | 351 | 92.2 | |
| −7 | 340 | 336 | 94.3 | 28 | 394 | 434 | 94.3 | −76 | 321 | 353 | 93.4 | ||
| 200 | 9 | 250 | 263 | 93.1 | −10 | 326 | 358 | 94.5 | −43 | 258 | 276 | 94.0 | |
| 8 | 252 | 264 | 93.8 | 31 | 321 | 357 | 95.1 | −40 | 259 | 275 | 93.7 | ||