## 8 Simulation Study
**} & \multicolumn{6}{c}{**Point**} & \multicolumn{6}{c}{**Interval**} \\ \cline{2-13}  & **ML** & **SE** & **LE1** & **LE2** & **GE** & **ML** & **Bootstrap** & **HPD\({}_{\text{SE}}\)** & **HPD\({}_{\text{LL}}\)** & **HPD\({}_{\text{LE2}}\)** & **HPD\({}_{\text{CE}}\)** \\ \hline \(\psi\) & 3.8947 & 12.855 & 13.0734 & 10.5614 & 12.6217 & 0.0001 12.22312 & 3.895 3.895 & 11.462 13.532 & 11.8166 13.6513 & 7.8851 13.0101 & 11.0536 13.4601 \\  & 0.0001 & 8.9403 & 19.7828 & 6.668 & 8.7271 & 12.2311 & 0.0001 2.207 & 1.18347 & 5.1251 & 2.4064 \\  & 18.9008 & 80.5011 & 84.405 & 46.6288 & 76.7483 & 0.001 10.9126 & 3.895 3.895 & 12.053 13.508 & 12.327 13.5948 & 8.2032 128.846 & 11.5841 13.3678 \\ \(\lambda\) & 0.038 & 0.0157 & 0.0157 & 0.0156 & 0.0076 & 0.001 0.0989 & 0.080 0.002 & 0.002 0.043 & 0.0023 & 0.002 0.0202 & 0.002 0.025 \\  & 0.0001 & \(-0.0223\) & \(-0.0223\) & \(-0.0225\) & \(-0.0304\) & 0.0988 & 0.0001 & 0.041 & 0.0411 & 0.0406 & 0.0248 \\  & 0.001 & 0.0008 & 0.0008 & 0.0008 & 0.0011 & 0.0001 0.0089 & 0.080 0.003 & 0.0038 & 0.0038 & 0.0031 0.0386 & 0.0030 0.0379 & 0.0004 0.0196 \\ \(\theta\) & 2.5367 & 2.4031 & 2.4239 & 2.3418 & 2.3408 & 1.5157 3.557 & 2.557 2.537 & 0.794 1.4858 & 8.4883 2.091 & 0.7914 12.437 & 0.674 1.5355 \\  & 0.0001 & \(-0.1335\) & \(-0.1074\) & \(-0.1949\) & \(-0.1999\) & 2.042 & 0.0001 & 3.396 & 3.3607 & 3.3846 & 3.4835 \\  & 0.2714 & 0.6965 & 0.6992 & 0.6989 & 0.7395 & 1.6771 3.39362 & 2.537 2.537 & 1.134.39 & 1.1745 3.9373 & 1.0536 38.236 & 1.0044 3.8574 \\ \hline \multicolumn{13}{c}{} & \multicolumn{6}{c}{Foint estimate first, second, and third lines represent estimate, bias and EE, respectively. Interval estimate: 95% and 90% interval estimate, respectively. The first and second lines show the credible HPD interval and the corresponding width of the parameter, respectively.} \\ \hline \multirow{2}{*}{**Paz. **} & \multicolumn{6}{c}{**Point**} & \multicolumn{6}{c}{**Interval**} \\ \cline{2-13}  & **ML** & **SE** & **LE1** & **LE2** & **GE** & **ML** & **Bootstrap** & **HPD\({}_{\text{SE}}\)** & **HPD\({}_{\text{LL}}\)** & **HPD\({}_{\text{LE2}}\)** & **HPD\({}_{\text{CE}}\)** \\ \hline \(\psi\) & 3.7182 & 12.6251 & 12.857 & 10.1805 & 12.3686 & 0.0001 11.64 & 3.7  
\begin{table}
\begin{tabular}{c c c c c c c c c c c c c} \hline \hline \multirow{2}{*}{**Par. **} & \multicolumn{6}{c}{_Point_} & \multicolumn{6}{c}{_Interval_} \\ \cline{2-13}  & **ML** & _SE_ & _LE1_ & _LE2_ & _GE_ & _ML_ & _Bootstrap_ & _HPD\({}_{SE}\)_ & _HPD\({}_{LL}\)_ & _HPD\({}_{LE2}\)_ & _HPD\({}_{CE}\)_ \\ \hline \(\psi\) & 4.1453 & 13.0821 & 13.2876 & 10.8332 & 12.8701 & 0.0001 13.6226 & 4.145 4.145 & 12.039 13.732 & 12.4743 13.8153 & 8.4427 13.5205 & 11.8154 13.7112 \\  & 0.0001 & 8.9368 & 9.1423 & 6.8979 & 8.7248 & 13.6225 & 0.0001 & 1.693 & 1.341 & 5.0083 & 1.8968 \\  & 23.3806 & 8.0041 & 83.7041 & 46.8603 & 76.384 & 0.0001 & 1.2236 & 4.145 4.145 & 12.359 13.719 & 12.669 13.7639 & 8.691 13.3334 & 11.9073 13.6286 \\ \(\lambda\) & 0.0789 & 0.0262 & 0.0264 & 0.0259 & 0.0135 & 0.0001 12.248 & 0.0007 0.0079 & 0.0058 & 0.0052 0.0012 & 0.0025 0.0076 & 0.0001 0.045 \\  & 0.0001 & \(-\)0.0527 & \(-\)0.0525 & \(-\)0.0531 & \(-\)0.0655 & 0.2427 & 0.0001 & 0.0075 & 0.0759 & 0.0724 & 0.0445 \\  & 0.0007 & 0.0032 & 0.0032 & 0.0032 & 0.0044 & 0.0001 02.619 & 0.0799 0.079 & 0.0068 & 0.0078 & 0.0058 0.0775 & 0.0076 & 0.001 0.0374 \\ \(\theta\) & 2.0955 & 2.0352 & 0.251 & 1.9997 & 1.9919 & 1.2789 -2.912 & 0.0052 0.019 & 0.01372 & 0.0199 3.7368 & 0.0088 3.6693 & 0.0081 3.6952 \\  & 0.0001 & \(-\)0.0603 & \(-\)0.0445 & \(-\)0.0958 & \(-\)0.0136 & 1.6331 & 0.0001 & 2.813 & 2.8167 & 2.7986 & 2.8761 \\  & 0.1736 & 0.4671 & 0.4638 & 0.4722 & 0.4697 & 1.4081 27.829 & 2.095 2.095 & 1.0783 & 1.029 9.3138 & 1.0531 3.1177 & 1.0151 3.122 \\ \hline \multicolumn{13}{c}{Foint estimate first, second, and third lines represent estimate, biases and _SE_, respectively. Interval estimate: \(\psi\)= and \(\psi\)= interval estimate, respectively.