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. Author manuscript; available in PMC: 2017 May 1.
Published in final edited form as: J Stat Plan Inference. 2016 May 1;172:23–25. doi: 10.1016/j.jspi.2015.12.006

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