Table 2 MCSS results for NGEP-Wei distribution with different combination of parameters values.
n | Est | Set III:\(\phi = 0.8,\,\alpha = 0.7,\,\delta = 1.2\) | Set IV:\(\phi = 0.7,\,\alpha = 1.8,\,\delta = 0.8\) | ||||
|---|---|---|---|---|---|---|---|
AMLEs | MSE | ABs | AMLEs | MSE | ABs | ||
50 | \(\phi\) | 1.3401419 | 3.73696921 | 0.540141877 | 0.8221352 | 1.60373271 | 0.348790717 |
\(\alpha\) | 0.7209277 | 0.026167164 | 0.020927651 | 1.833487 | 0.11695117 | 0.043725520 | |
\(\delta\) | 1.152840 | 0.080740908 | −0.047160170 | 0.7954637 | 0.01193009 | 0.006672544 | |
100 | \(\phi\) | 1.0639405 | 1.98095765 | 0.263940510 | 0.6928009 | 0.86577761 | −0.007199094 |
\(\alpha\) | 0.7196219 | 0.014107102 | 0.019621861 | 1.832861 | 0.08809218 | 0.032861292 | |
\(\delta\) | 1.167813 | 0.026743453 | −0.032186898 | 0.7911665 | 0.006896347 | −0.008833518 | |
200 | \(\phi\) | 0.8787327 | 1.12014754 | 0.078732678 | 0.5934661 | 0.34166207 | −0.106533854 |
\(\alpha\) | 0.7299946 | 0.011426791 | 0.029994553 | 1.832323 | 0.06471138 | 0.032323185 | |
\(\delta\) | 1.174071 | 0.016923436 | −0.025928824 | 0.7867408 | 0.002915682 | −0.013259159 | |
300 | \(\phi\) | 0.7855351 | 0.51353181 | −0.040098399 | 0.5541187 | 0.19567145 | −0.145881268 |
\(\alpha\) | 0.7252219 | 0.009306032 | 0.027827067 | 1.834145 | 0.05585333 | 0.034144703 | |
\(\delta\) | 1.178937 | 0.008845356 | −0.014837884 | 0.7932608 | 0.00169396 | −0.006739160 | |
400 | \(\phi\) | 0.7137202 | 0.25206101 | −0.086279844 | 0.5901948 | 0.14774553 | −0.109805244 |
\(\alpha\) | 0.7293404 | 0.008248674 | 0.029340359 | 1.821428 | 0.04697499 | 0.021427846 | |
\(\delta\) | 1.190765 | 0.004827222 | −0.009234729 | 0.7926479 | 0.001339951 | −0.007352076 | |
500 | \(\phi\) | 0.7224529 | 0.19017907 | −0.077547090 | 0.5670105 | 0.13901290 | −0.132989546 |
\(\alpha\) | 0.7219769 | 0.007216719 | 0.021976925 | 1.836642 | 0.04552487 | 0.036641898 | |
\(\delta\) | 1.189611 | 0.003973352 | −0.010388667 | 0.7931329 | 0.001026925 | −0.006867102 | |
600 | \(\phi\) | 0.7220863 | 0.14494077 | −0.077913705 | 0.5780741 | 0.12905761 | −0.121925861 |
\(\alpha\) | 0.7223801 | 0.006567211 | 0.022380082 | 1.827314 | 0.04449885 | 0.027313535 | |
\(\delta\) | 1.190422 | 0.003082486 | −0.009577535 | 0.7908397 | 0.000945917 | −0.009160279 | |
700 | \(\phi\) | 0.7127174 | 0.10754679 | −0.087282615 | 0.5945143 | 0.09703003 | −0.105485702 |
\(\alpha\) | 0.7237454 | 0.006713205 | 0.023745436 | 1.821323 | 0.03990010 | 0.021323237 | |
\(\delta\) | 1.192115 | 0.002415838 | −0.007884738 | 0.7924756 | 0.000714308 | −0.007524425 | |
800 | \(\phi\) | 0.7082831 | 0.09268212 | −0.091716874 | 0.5842262 | 0.09692024 | −0.115773793 |
\(\alpha\) | 0.7230103 | 0.006303908 | 0.023010301 | 1.827301 | 0.03860714 | 0.027300792 | |
\(\delta\) | 1.191677 | 0.002180030 | −0.008322607 | 0.7924884 | 0.000641495 | −0.007511647 | |
900 | \(\phi\) | 0.7246462 | 0.05970638 | −0.075353835 | 0.6033333 | 0.09024770 | −0.096666676 |
\(\alpha\) | 0.7184143 | 0.005301582 | 0.018414289 | 1.815633 | 0.03647963 | 0.015633414 | |
\(\delta\) | 1.191563 | 0.001618962 | −0.008437136 | 0.7930041 | 0.000597343 | −0.006995930 | |
1000 | \(\phi\) | 0.7312756 | 0.05373190 | −0.068724370 | 0.6007523 | 0.08558905 | −0.099247718 |
\(\alpha\) | 0.7157047 | 0.004913919 | 0.015704749 | 1.822380 | 0.03595069 | 0.022379732 | |
\(\delta\) | 1.194376 | 0.001417435 | −0.005623963 | 0.7931987 | 0.000548591 | −0.006801286 | |
