Table 4 Numerical values of simulation measures for \(\alpha =0.8,~\beta =0.2\) under RSS.
n | Est. | MLE | ADE | CVME | MPSE | OLSE | PCE | RTADE | WLSE |
|---|---|---|---|---|---|---|---|---|---|
30 | \(\pmb K{_1}\)(\(\hat{\alpha }\)) | \(0.06126 ^{\{ 1 \}}\) | \(0.06577 ^{\{ 2 \}}\) | \(0.07851 ^{\{ 9 \}}\) | \(0.07448 ^{\{ 5 \}}\) | \(0.07962 ^{\{ 10 \}}\) | \(0.08899 ^{\{ 13 \}}\) | \(0.07547 ^{\{ 6 \}}\) | \(0.06963 ^{\{ 3 \}}\) |
\(\pmb K{_1}\)(\(\hat{\beta }\)) | \(0.03898 ^{\{ 1 \}}\) | \(0.04293 ^{\{ 2 \}}\) | \(0.04832 ^{\{ 7 \}}\) | \(0.05397 ^{\{ 10 \}}\) | \(0.05349 ^{\{ 9 \}}\) | \(0.06243 ^{\{ 13 \}}\) | \(0.04747 ^{\{ 6 \}}\) | \(0.0466 ^{\{ 3 \}}\) | |
\(\pmb K{_2}\)(\(\hat{\alpha }\)) | \(0.00645 ^{\{ 1 \}}\) | \(0.00714 ^{\{ 2 \}}\) | \(0.01092 ^{\{ 11 \}}\) | \(0.00807 ^{\{ 5 \}}\) | \(0.00983 ^{\{ 7 \}}\) | \(0.01166 ^{\{ 13 \}}\) | \(0.00929 ^{\{ 6 \}}\) | \(0.00765 ^{\{ 3 \}}\) | |
\(\pmb K{_2}\)(\(\hat{\beta }\)) | \(0.00238 ^{\{ 1 \}}\) | \(0.00294 ^{\{ 2 \}}\) | \(0.00362 ^{\{ 7 \}}\) | \(0.0046 ^{\{ 10 \}}\) | \(0.00444 ^{\{ 8 \}}\) | \(0.006 ^{\{ 13 \}}\) | \(0.00353 ^{\{ 5.5 \}}\) | \(0.00353 ^{\{ 5.5 \}}\) | |
\(\pmb K{_3}\)(\(\hat{\alpha }\)) | \(0.07658 ^{\{ 1 \}}\) | \(0.08221 ^{\{ 2 \}}\) | \(0.09814 ^{\{ 9 \}}\) | \(0.0931 ^{\{ 5 \}}\) | \(0.09952 ^{\{ 10 \}}\) | \(0.11124 ^{\{ 13 \}}\) | \(0.09434 ^{\{ 6 \}}\) | \(0.08704 ^{\{ 3 \}}\) | |
\(\pmb K{_3}\)(\(\hat{\beta }\)) | \(0.19488 ^{\{ 1 \}}\) | \(0.21463 ^{\{ 2 \}}\) | \(0.2416 ^{\{ 7 \}}\) | \(0.26985 ^{\{ 10 \}}\) | \(0.26746 ^{\{ 9 \}}\) | \(0.31213 ^{\{ 13 \}}\) | \(0.23736 ^{\{ 6 \}}\) | \(0.23298 ^{\{ 3 \}}\) | |
\(\pmb K{_4}\) | \(0.02909 ^{\{ 1 \}}\) | \(0.02923 ^{\{ 2 \}}\) | \(0.0329 ^{\{ 9 \}}\) | \(0.03135 ^{\{ 5 \}}\) | \(0.03262 ^{\{ 7 \}}\) | \(0.0347 ^{\{ 10 \}}\) | \(0.03103 ^{\{ 4 \}}\) | \(0.03026 ^{\{ 3 \}}\) | |
\(\pmb K{_5}\) | \(0.04826 ^{\{ 1 \}}\) | \(0.04926 ^{\{ 2 \}}\) | \(0.05534 ^{\{ 7 \}}\) | \(0.05331 ^{\{ 5 \}}\) | \(0.05544 ^{\{ 8 \}}\) | \(0.05876 ^{\{ 10 \}}\) | \(0.05268 ^{\{ 4 \}}\) | \(0.05122 ^{\{ 3 \}}\) | |
\(\pmb K{_6}\) | \(0.05181 ^{\{ 1 \}}\) | \(0.04663 ^{\{ 2 \}}\) | \(0.09988 ^{\{ 7 \}}\) | \(0.0348 ^{\{ 5 \}}\) | \(0.0572 ^{\{ 8 \}}\) | \(0.03138 ^{\{ 10 \}}\) | \(0.05776 ^{\{ 4 \}}\) | \(0.04155 ^{\{ 3 \}}\) | |
\(\sum Ranks\) | \(14 ^{\{ 1 \}}\) | \(21 ^{\{ 2 \}}\) | \(80 ^{\{ 10 \}}\) | \(57 ^{\{ 5 \}}\) | \(75 ^{\{ 9 \}}\) | \(99 ^{\{ 11.5 \}}\) | \(51.5 ^{\{ 4 \}}\) | \(30.5 ^{\{ 3 \}}\) | |
80 | \(\pmb K{_1}\)(\(\hat{\alpha }\)) | \(0.0364 ^{\{ 1 \}}\) | \(0.03996 ^{\{ 2 \}}\) | \(0.04607 ^{\{ 7 \}}\) | \(0.04446 ^{\{ 4 \}}\) | \(0.04717 ^{\{ 8 \}}\) | \(0.06364 ^{\{ 14 \}}\) | \(0.04571 ^{\{ 5 \}}\) | \(0.04334 ^{\{ 3 \}}\) |
\(\pmb K{_1}\)(\(\hat{\beta }\)) | \(0.02381 ^{\{ 1 \}}\) | \(0.02641 ^{\{ 2 \}}\) | \(0.02932 ^{\{ 4 \}}\) | \(0.03045 ^{\{ 7 \}}\) | \(0.03049 ^{\{ 8 \}}\) | \(0.04644 ^{\{ 16 \}}\) | \(0.03041 ^{\{ 6 \}}\) | \(0.02833 ^{\{ 3 \}}\) | |
\(\pmb K{_2}\)(\(\hat{\alpha }\)) | \(0.00218 ^{\{ 1 \}}\) | \(0.00257 ^{\{ 2 \}}\) | \(0.00336 ^{\{ 6 \}}\) | \(0.00297 ^{\{ 4 \}}\) | \(0.0035 ^{\{ 8 \}}\) | \(0.00638 ^{\{ 14 \}}\) | \(0.00337 ^{\{ 7 \}}\) | \(0.0029 ^{\{ 3 \}}\) | |
\(\pmb K{_2}\)(\(\hat{\beta }\)) | \(0.00091 ^{\{ 1 \}}\) | \(0.0011 ^{\{ 2 \}}\) | \(0.00134 ^{\{ 4 \}}\) | \(0.00146 ^{\{ 7.5 \}}\) | \(0.00146 ^{\{ 7.5 \}}\) | \(0.00375 ^{\{ 16 \}}\) | \(0.00143 ^{\{ 6 \}}\) | \(0.00122 ^{\{ 3 \}}\) | |
\(\pmb K{_3}\)(\(\hat{\alpha }\)) | \(0.04549 ^{\{ 1 \}}\) | \(0.04995 ^{\{ 2 \}}\) | \(0.05759 ^{\{ 7 \}}\) | \(0.05557 ^{\{ 4 \}}\) | \(0.05896 ^{\{ 8 \}}\) | \(0.07955 ^{\{ 14 \}}\) | \(0.05714 ^{\{ 5 \}}\) | \(0.05417 ^{\{ 3 \}}\) | |
\(\pmb K{_3}\)(\(\hat{\beta }\)) | \(0.11904 ^{\{ 1 \}}\) | \(0.13206 ^{\{ 2 \}}\) | \(0.14658 ^{\{ 4 \}}\) | \(0.15223 ^{\{ 7 \}}\) | \(0.15247 ^{\{ 8 \}}\) | \(0.23222 ^{\{ 16 \}}\) | \(0.15203 ^{\{ 6 \}}\) | \(0.14165 ^{\{ 3 \}}\) | |
\(\pmb K{_4}\) | \(0.01739 ^{\{ 1 \}}\) | \(0.01832 ^{\{ 2.5 \}}\) | \(0.01935 ^{\{ 4.5 \}}\) | \(0.01945 ^{\{ 6 \}}\) | \(0.01935 ^{\{ 4.5 \}}\) | \(0.02353 ^{\{ 11 \}}\) | \(0.01968 ^{\{ 7 \}}\) | \(0.01832 ^{\{ 2.5 \}}\) | |
\(\pmb K{_5}\) | \(0.02904 ^{\{ 1 \}}\) | \(0.03069 ^{\{ 2 \}}\) | \(0.03297 ^{\{ 5 \}}\) | \(0.03291 ^{\{ 4 \}}\) | \(0.03305 ^{\{ 6 \}}\) | \(0.04065 ^{\{ 11 \}}\) | \(0.03312 ^{\{ 7 \}}\) | \(0.03102 ^{\{ 3 \}}\) | |
\(\pmb K{_6}\) | \(0.01778 ^{\{ 1 \}}\) | \(0.01699 ^{\{ 2 \}}\) | \(0.0178 ^{\{ 5 \}}\) | \(0.01729 ^{\{ 4 \}}\) | \(0.01805 ^{\{ 6 \}}\) | \(0.01776 ^{\{ 11 \}}\) | \(0.01666 ^{\{ 7 \}}\) | \(0.01685 ^{\{ 3 \}}\) | |
\(\sum Ranks\) | \(14 ^{\{ 1 \}}\) | \(19.5 ^{\{ 2 \}}\) | \(48.5 ^{\{ 5 \}}\) | \(47.5 ^{\{ 4 \}}\) | \(66 ^{\{ 7 \}}\) | \(117 ^{\{ 13 \}}\) | \(50 ^{\{ 6 \}}\) | \(25.5 ^{\{ 3 \}}\) | |
150 | \(\pmb K{_1}\)(\(\hat{\alpha }\)) | \(0.02575 ^{\{ 1 \}}\) | \(0.02977 ^{\{ 2 \}}\) | \(0.03232 ^{\{ 5 \}}\) | \(0.03133 ^{\{ 4 \}}\) | \(0.03417 ^{\{ 8 \}}\) | \(0.04704 ^{\{ 15 \}}\) | \(0.03371 ^{\{ 6 \}}\) | \(0.03004 ^{\{ 3 \}}\) |
\(\pmb K{_1}\)(\(\hat{\beta }\)) | \(0.01771 ^{\{ 1 \}}\) | \(0.01971 ^{\{ 2 \}}\) | \(0.02026 ^{\{ 4 \}}\) | \(0.02148 ^{\{ 6 \}}\) | \(0.02212 ^{\{ 7 \}}\) | \(0.03359 ^{\{ 15 \}}\) | \(0.02238 ^{\{ 8 \}}\) | \(0.01978 ^{\{ 3 \}}\) | |
\(\pmb K{_2}\)(\(\hat{\alpha }\)) | \(0.00105 ^{\{ 1 \}}\) | \(0.00144 ^{\{ 3 \}}\) | \(0.00165 ^{\{ 5 \}}\) | \(0.00151 ^{\{ 4 \}}\) | \(0.0018 ^{\{ 7 \}}\) | \(0.00349 ^{\{ 15 \}}\) | \(0.00179 ^{\{ 6 \}}\) | \(0.00143 ^{\{ 2 \}}\) | |
\(\pmb K{_2}\)(\(\hat{\beta }\)) | \(0.00048 ^{\{ 1 \}}\) | \(0.00063 ^{\{ 3 \}}\) | \(0.00065 ^{\{ 4 \}}\) | \(0.00072 ^{\{ 5 \}}\) | \(0.00077 ^{\{ 7 \}}\) | \(0.00191 ^{\{ 15 \}}\) | \(0.00079 ^{\{ 8 \}}\) | \(0.00062 ^{\{ 2 \}}\) | |
\(\pmb K{_3}\)(\(\hat{\alpha }\)) | \(0.03219 ^{\{ 1 \}}\) | \(0.03722 ^{\{ 2 \}}\) | \(0.0404 ^{\{ 5 \}}\) | \(0.03916 ^{\{ 4 \}}\) | \(0.04272 ^{\{ 8 \}}\) | \(0.0588 ^{\{ 15 \}}\) | \(0.04214 ^{\{ 6 \}}\) | \(0.03755 ^{\{ 3 \}}\) | |
\(\pmb K{_3}\)(\(\hat{\beta }\)) | \(0.08854 ^{\{ 1 \}}\) | \(0.09856 ^{\{ 2 \}}\) | \(0.10128 ^{\{ 4 \}}\) | \(0.10741 ^{\{ 6 \}}\) | \(0.11062 ^{\{ 7 \}}\) | \(0.16795 ^{\{ 15 \}}\) | \(0.1119 ^{\{ 8 \}}\) | \(0.09889 ^{\{ 3 \}}\) | |
\(\pmb K{_4}\) | \(0.01332 ^{\{ 1 \}}\) | \(0.01345 ^{\{ 2 \}}\) | \(0.01409 ^{\{ 5 \}}\) | \(0.01396 ^{\{ 4 \}}\) | \(0.01439 ^{\{ 6 \}}\) | \(0.01734 ^{\{ 11 \}}\) | \(0.01484 ^{\{ 7 \}}\) | \(0.01377 ^{\{ 3 \}}\) | |
\(\pmb K{_5}\) | \(0.02192 ^{\{ 1 \}}\) | \(0.02257 ^{\{ 2 \}}\) | \(0.02398 ^{\{ 5 \}}\) | \(0.02356 ^{\{ 4 \}}\) | \(0.02455 ^{\{ 6 \}}\) | \(0.03016 ^{\{ 11 \}}\) | \(0.02502 ^{\{ 7 \}}\) | \(0.02315 ^{\{ 3 \}}\) | |
\(\pmb K{_6}\) | \(0.01169 ^{\{ 1 \}}\) | \(0.01137 ^{\{ 2 \}}\) | \(0.01196 ^{\{ 5 \}}\) | \(0.0115 ^{\{ 4 \}}\) | \(0.01194 ^{\{ 6 \}}\) | \(0.01214 ^{\{ 11 \}}\) | \(0.0112 ^{\{ 7 \}}\) | \(0.01152 ^{\{ 3 \}}\) | |
\(\sum Ranks\) | \(13 ^{\{ 1 \}}\) | \(20 ^{\{ 2 \}}\) | \(44 ^{\{ 5 \}}\) | \(40 ^{\{ 4 \}}\) | \(62 ^{\{ 7 \}}\) | \(120 ^{\{ 13 \}}\) | \(57 ^{\{ 6 \}}\) | \(26 ^{\{ 3 \}}\) |
300 | \(\pmb K{_1}\)(\(\hat{\alpha }\)) | \(0.01894 ^{\{ 1 \}}\) | \(0.02116 ^{\{ 2 \}}\) | \(0.02281 ^{\{ 5 \}}\) | \(0.02226 ^{\{ 4 \}}\) | \(0.02307 ^{\{ 6 \}}\) | \(0.03501 ^{\{ 15 \}}\) | \(0.02366 ^{\{ 7 \}}\) | \(0.02118 ^{\{ 3 \}}\) |
\(\pmb K{_1}\)(\(\hat{\beta }\)) | \(0.01266 ^{\{ 1 \}}\) | \(0.01389 ^{\{ 3 \}}\) | \(0.01459 ^{\{ 4 \}}\) | \(0.01496 ^{\{ 5 \}}\) | \(0.0153 ^{\{ 7 \}}\) | \(0.02526 ^{\{ 15 \}}\) | \(0.01567 ^{\{ 8 \}}\) | \(0.01374 ^{\{ 2 \}}\) | |
\(\pmb K{_2}\)(\(\hat{\alpha }\)) | \(0.00057 ^{\{ 1 \}}\) | \(7e-04 ^{\{ 3 \}}\) | \(0.00081 ^{\{ 5 \}}\) | \(0.00077 ^{\{ 4 \}}\) | \(0.00085 ^{\{ 6 \}}\) | \(0.00197 ^{\{ 15 \}}\) | \(0.00088 ^{\{ 7 \}}\) | \(0.00068 ^{\{ 2 \}}\) | |
\(\pmb K{_2}\)(\(\hat{\beta }\)) | \(0.00025 ^{\{ 1 \}}\) | \(3e-04 ^{\{ 3 \}}\) | \(0.00033 ^{\{ 4 \}}\) | \(0.00035 ^{\{ 5 \}}\) | \(0.00037 ^{\{ 6.5 \}}\) | \(0.0011 ^{\{ 15 \}}\) | \(0.00039 ^{\{ 8 \}}\) | \(0.00029 ^{\{ 2 \}}\) | |
\(\pmb K{_3}\)(\(\hat{\alpha }\)) | \(0.02367 ^{\{ 1 \}}\) | \(0.02645 ^{\{ 2 \}}\) | \(0.02852 ^{\{ 5 \}}\) | \(0.02783 ^{\{ 4 \}}\) | \(0.02884 ^{\{ 6 \}}\) | \(0.04376 ^{\{ 15 \}}\) | \(0.02958 ^{\{ 7 \}}\) | \(0.02647 ^{\{ 3 \}}\) | |
\(\pmb K{_3}\)(\(\hat{\beta }\)) | \(0.0633 ^{\{ 1 \}}\) | \(0.06943 ^{\{ 3 \}}\) | \(0.07296 ^{\{ 4 \}}\) | \(0.07479 ^{\{ 5 \}}\) | \(0.0765 ^{\{ 7 \}}\) | \(0.12629 ^{\{ 15 \}}\) | \(0.07833 ^{\{ 8 \}}\) | \(0.06868 ^{\{ 2 \}}\) | |
\(\pmb K{_4}\) | \(0.00925 ^{\{ 1 \}}\) | \(0.0094 ^{\{ 2 \}}\) | \(0.00974 ^{\{ 4 \}}\) | \(0.00986 ^{\{ 5 \}}\) | \(0.0102 ^{\{ 7 \}}\) | \(0.01258 ^{\{ 11 \}}\) | \(0.01017 ^{\{ 6 \}}\) | \(0.00949 ^{\{ 3 \}}\) | |
\(\pmb K{_5}\) | \(0.0154 ^{\{ 1 \}}\) | \(0.01591 ^{\{ 2 \}}\) | \(0.01659 ^{\{ 4 \}}\) | \(0.0167 ^{\{ 5 \}}\) | \(0.01722 ^{\{ 6 \}}\) | \(0.02194 ^{\{ 11.5 \}}\) | \(0.01731 ^{\{ 7 \}}\) | \(0.01606 ^{\{ 3 \}}\) | |
\(\pmb K{_6}\) | \(0.00766 ^{\{ 1 \}}\) | \(0.00737 ^{\{ 2 \}}\) | \(0.0077 ^{\{ 4 \}}\) | \(0.0074 ^{\{ 5 \}}\) | \(0.00778 ^{\{ 6 \}}\) | \(0.00804 ^{\{ 11.5 \}}\) | \(0.00716 ^{\{ 7 \}}\) | \(0.00741 ^{\{ 3 \}}\) | |
\(\sum Ranks\) | \(13 ^{\{ 1 \}}\) | \(47 ^{\{ 5 \}}\) | \(39 ^{\{ 4 \}}\) | \(38 ^{\{ 3 \}}\) | \(56.5 ^{\{ 6 \}}\) | \(117.5 ^{\{ 13 \}}\) | \(57 ^{\{ 7 \}}\) | \(24 ^{\{ 2 \}}\) | |
400 | \(\pmb K{_1}\)(\(\hat{\alpha }\)) | \(0.0164 ^{\{ 1 \}}\) | \(0.01803 ^{\{ 3 \}}\) | \(0.02049 ^{\{ 5 \}}\) | \(0.01905 ^{\{ 4 \}}\) | \(0.0209 ^{\{ 8 \}}\) | \(0.02991 ^{\{ 15 \}}\) | \(0.0207 ^{\{ 6 \}}\) | \(0.0176 ^{\{ 2 \}}\) |
\(\pmb K{_1}\)(\(\hat{\beta }\)) | \(0.01079 ^{\{ 1 \}}\) | \(0.01188 ^{\{ 3 \}}\) | \(0.01319 ^{\{ 6 \}}\) | \(0.01261 ^{\{ 4 \}}\) | \(0.01344 ^{\{ 7 \}}\) | \(0.0212 ^{\{ 15 \}}\) | \(0.0138 ^{\{ 8 \}}\) | \(0.01163 ^{\{ 2 \}}\) | |
\(\pmb K{_2}\)(\(\hat{\alpha }\)) | \(0.00041 ^{\{ 1 \}}\) | \(5e-04 ^{\{ 3 \}}\) | \(0.00064 ^{\{ 5 \}}\) | \(0.00056 ^{\{ 4 \}}\) | \(0.00069 ^{\{ 8 \}}\) | \(0.00139 ^{\{ 15 \}}\) | \(0.00067 ^{\{ 6.5 \}}\) | \(0.00049 ^{\{ 2 \}}\) | |
\(\pmb K{_2}\)(\(\hat{\beta }\)) | \(0.00018 ^{\{ 1 \}}\) | \(0.00022 ^{\{ 2.5 \}}\) | \(0.00026 ^{\{ 5 \}}\) | \(0.00025 ^{\{ 4 \}}\) | \(0.00029 ^{\{ 7.5 \}}\) | \(0.00074 ^{\{ 15 \}}\) | \(0.00029 ^{\{ 7.5 \}}\) | \(0.00022 ^{\{ 2.5 \}}\) | |
\(\pmb K{_3}\)(\(\hat{\alpha }\)) | \(0.0205 ^{\{ 1 \}}\) | \(0.02254 ^{\{ 3 \}}\) | \(0.02561 ^{\{ 5 \}}\) | \(0.02381 ^{\{ 4 \}}\) | \(0.02613 ^{\{ 8 \}}\) | \(0.03738 ^{\{ 15 \}}\) | \(0.02588 ^{\{ 6 \}}\) | \(0.02201 ^{\{ 2 \}}\) | |
\(\pmb K{_3}\)(\(\hat{\beta }\)) | \(0.05395 ^{\{ 1 \}}\) | \(0.05939 ^{\{ 3 \}}\) | \(0.06594 ^{\{ 6 \}}\) | \(0.06305 ^{\{ 4 \}}\) | \(0.06721 ^{\{ 7 \}}\) | \(0.10602 ^{\{ 15 \}}\) | \(0.069 ^{\{ 8 \}}\) | \(0.05817 ^{\{ 2 \}}\) | |
\(\pmb K{_4}\) | \(0.00797 ^{\{ 1 \}}\) | \(0.00826 ^{\{ 3 \}}\) | \(0.00872 ^{\{ 5 \}}\) | \(0.00845 ^{\{ 4 \}}\) | \(0.00882 ^{\{ 6 \}}\) | \(0.01092 ^{\{ 11 \}}\) | \(0.00886 ^{\{ 7 \}}\) | \(0.008 ^{\{ 2 \}}\) | |
\(\pmb K{_5}\) | \(0.01334 ^{\{ 1 \}}\) | \(0.01392 ^{\{ 3 \}}\) | \(0.01476 ^{\{ 5 \}}\) | \(0.01426 ^{\{ 4 \}}\) | \(0.015 ^{\{ 6.5 \}}\) | \(0.01895 ^{\{ 12 \}}\) | \(0.015 ^{\{ 6.5 \}}\) | \(0.01345 ^{\{ 2 \}}\) | |
\(\pmb K{_6}\) | \(0.00632 ^{\{ 1 \}}\) | \(0.00625 ^{\{ 3 \}}\) | \(0.00657 ^{\{ 5 \}}\) | \(0.00624 ^{\{ 4 \}}\) | \(0.00653 ^{\{ 6.5 \}}\) | \(0.00677 ^{\{ 12 \}}\) | \(0.00592 ^{\{ 6.5 \}}\) | \(0.00622 ^{\{ 2 \}}\) | |
\(\sum Ranks\) | \(13 ^{\{ 1 \}}\) | \(39.5 ^{\{ 4 \}}\) | \(48 ^{\{ 5 \}}\) | \(34 ^{\{ 3 \}}\) | \(63 ^{\{ 7 \}}\) | \(118 ^{\{ 13 \}}\) | \(55.5 ^{\{ 6 \}}\) | \(18.5 ^{\{ 2 \}}\) | |
500 | \(\pmb K{_1}\)(\(\hat{\alpha }\)) | \(0.01406 ^{\{ 1 \}}\) | \(0.0172 ^{\{ 4 \}}\) | \(0.01868 ^{\{ 7 \}}\) | \(0.01633 ^{\{ 3 \}}\) | \(0.01846 ^{\{ 6 \}}\) | \(0.0272 ^{\{ 15 \}}\) | \(0.0176 ^{\{ 5 \}}\) | \(0.01585 ^{\{ 2 \}}\) |
\(\pmb K{_1}\)(\(\hat{\beta }\)) | \(0.00924 ^{\{ 1 \}}\) | \(0.01144 ^{\{ 4 \}}\) | \(0.01194 ^{\{ 7 \}}\) | \(0.01113 ^{\{ 3 \}}\) | \(0.01189 ^{\{ 6 \}}\) | \(0.01936 ^{\{ 15 \}}\) | \(0.01163 ^{\{ 5 \}}\) | \(0.0104 ^{\{ 2 \}}\) | |
\(\pmb K{_2}\)(\(\hat{\alpha }\)) | \(0.00032 ^{\{ 1 \}}\) | \(0.00045 ^{\{ 4 \}}\) | \(0.00054 ^{\{ 7 \}}\) | \(0.00043 ^{\{ 3 \}}\) | \(0.00052 ^{\{ 6 \}}\) | \(0.00114 ^{\{ 15 \}}\) | \(0.00049 ^{\{ 5 \}}\) | \(0.00039 ^{\{ 2 \}}\) | |
\(\pmb K{_2}\)(\(\hat{\beta }\)) | \(0.00014 ^{\{ 1 \}}\) | \(2e-04 ^{\{ 3.5 \}}\) | \(0.00022 ^{\{ 6 \}}\) | \(2e-04 ^{\{ 3.5 \}}\) | \(0.00022 ^{\{ 6 \}}\) | \(0.00061 ^{\{ 15 \}}\) | \(0.00022 ^{\{ 6 \}}\) | \(0.00017 ^{\{ 2 \}}\) | |
\(\pmb K{_3}\)(\(\hat{\alpha }\)) | \(0.01757 ^{\{ 1 \}}\) | \(0.0215 ^{\{ 4 \}}\) | \(0.02334 ^{\{ 7 \}}\) | \(0.02041 ^{\{ 3 \}}\) | \(0.02307 ^{\{ 6 \}}\) | \(0.034 ^{\{ 15 \}}\) | \(0.022 ^{\{ 5 \}}\) | \(0.01982 ^{\{ 2 \}}\) | |
\(\pmb K{_3}\)(\(\hat{\beta }\)) | \(0.0462 ^{\{ 1 \}}\) | \(0.05721 ^{\{ 4 \}}\) | \(0.05969 ^{\{ 7 \}}\) | \(0.05564 ^{\{ 3 \}}\) | \(0.05946 ^{\{ 6 \}}\) | \(0.09681 ^{\{ 15 \}}\) | \(0.05813 ^{\{ 5 \}}\) | \(0.05198 ^{\{ 2 \}}\) | |
\(\pmb K{_4}\) | \(0.00698 ^{\{ 1 \}}\) | \(0.00755 ^{\{ 5 \}}\) | \(0.00774 ^{\{ 6.5 \}}\) | \(0.00746 ^{\{ 3 \}}\) | \(0.00774 ^{\{ 6.5 \}}\) | \(0.01005 ^{\{ 11 \}}\) | \(0.0075 ^{\{ 4 \}}\) | \(0.0072 ^{\{ 2 \}}\) | |
\(\pmb K{_5}\) | \(0.01163 ^{\{ 1 \}}\) | \(0.01275 ^{\{ 5 \}}\) | \(0.01318 ^{\{ 6 \}}\) | \(0.01253 ^{\{ 3 \}}\) | \(0.01319 ^{\{ 7 \}}\) | \(0.01739 ^{\{ 12 \}}\) | \(0.01274 ^{\{ 4 \}}\) | \(0.01216 ^{\{ 2 \}}\) | |
\(\pmb K{_6}\) | \(0.0055 ^{\{ 1 \}}\) | \(0.0053 ^{\{ 5 \}}\) | \(0.00564 ^{\{ 6 \}}\) | \(0.00548 ^{\{ 3 \}}\) | \(0.00562 ^{\{ 7 \}}\) | \(0.00594 ^{\{ 12 \}}\) | \(0.00526 ^{\{ 4 \}}\) | \(0.00545 ^{\{ 2 \}}\) | |
\(\sum Ranks\) | \(13 ^{\{ 1 \}}\) | \(47.5 ^{\{ 5 \}}\) | \(58.5 ^{\{ 7 \}}\) | \(40.5 ^{\{ 4 \}}\) | \(53.5 ^{\{ 6 \}}\) | \(118 ^{\{ 13 \}}\) | \(38 ^{\{ 3 \}}\) | \(19 ^{\{ 2 \}}\) |
n | Est. | LTADE | MSADE | MSALDE | ADSOE | KE | MSSD | MSSLD | MSLND |
|---|---|---|---|---|---|---|---|---|---|
30 | \(\pmb K{_1}\)(\(\hat{\alpha }\)) | \(0.07768 ^{\{ 7 \}}\) | \(0.08629 ^{\{ 12 \}}\) | \(0.08374 ^{\{ 11 \}}\) | \(0.11352 ^{\{ 16 \}}\) | \(0.0781 ^{\{ 8 \}}\) | \(0.10116 ^{\{ 15 \}}\) | \(0.07188 ^{\{ 4 \}}\) | \(0.10055 ^{\{ 14 \}}\) |
\(\pmb K{_1}\)(\(\hat{\beta }\)) | \(0.04675 ^{\{ 4 \}}\) | \(0.06015 ^{\{ 12 \}}\) | \(0.05979 ^{\{ 11 \}}\) | \(0.0651 ^{\{ 14 \}}\) | \(0.04702 ^{\{ 5 \}}\) | \(0.06938 ^{\{ 16 \}}\) | \(0.05311 ^{\{ 8 \}}\) | \(0.06927 ^{\{ 15 \}}\) | |
\(\pmb K{_2}\)(\(\hat{\alpha }\)) | \(0.00992 ^{\{ 8 \}}\) | \(0.01133 ^{\{ 12 \}}\) | \(0.01035 ^{\{ 10 \}}\) | \(0.02056 ^{\{ 16 \}}\) | \(0.01008 ^{\{ 9 \}}\) | \(0.01472 ^{\{ 14 \}}\) | \(0.00782 ^{\{ 4 \}}\) | \(0.01519 ^{\{ 15 \}}\) | |
\(\pmb K{_2}\)(\(\hat{\beta }\)) | \(0.00345 ^{\{ 4 \}}\) | \(0.00553 ^{\{ 11 \}}\) | \(0.00577 ^{\{ 12 \}}\) | \(0.00645 ^{\{ 14 \}}\) | \(0.00341 ^{\{ 3 \}}\) | \(0.00728 ^{\{ 16 \}}\) | \(0.00451 ^{\{ 9 \}}\) | \(0.00724 ^{\{ 15 \}}\) | |
\(\pmb K{_3}\)(\(\hat{\alpha }\)) | \(0.09711 ^{\{ 7 \}}\) | \(0.10787 ^{\{ 12 \}}\) | \(0.10468 ^{\{ 11 \}}\) | \(0.14189 ^{\{ 16 \}}\) | \(0.09762 ^{\{ 8 \}}\) | \(0.12645 ^{\{ 15 \}}\) | \(0.08985 ^{\{ 4 \}}\) | \(0.12569 ^{\{ 14 \}}\) | |
\(\pmb K{_3}\)(\(\hat{\beta }\)) | \(0.23377 ^{\{ 4 \}}\) | \(0.30074 ^{\{ 12 \}}\) | \(0.29895 ^{\{ 11 \}}\) | \(0.32551 ^{\{ 14 \}}\) | \(0.23508 ^{\{ 5 \}}\) | \(0.34688 ^{\{ 16 \}}\) | \(0.26554 ^{\{ 8 \}}\) | \(0.34636 ^{\{ 15 \}}\) | |
\(\pmb K{_4}\) | \(0.03256 ^{\{ 6 \}}\) | \(0.04334 ^{\{ 14 \}}\) | \(0.04077 ^{\{ 12 \}}\) | \(0.04225 ^{\{ 13 \}}\) | \(0.03269 ^{\{ 8 \}}\) | \(0.04696 ^{\{ 16 \}}\) | \(0.03638 ^{\{ 11 \}}\) | \(0.04671 ^{\{ 15 \}}\) | |
\(\pmb K{_5}\) | \(0.05575 ^{\{ 9 \}}\) | \(0.07216 ^{\{ 13 \}}\) | \(0.06844 ^{\{ 12 \}}\) | \(0.07451 ^{\{ 14 \}}\) | \(0.05532 ^{\{ 6 \}}\) | \(0.07888 ^{\{ 15 \}}\) | \(0.06012 ^{\{ 11 \}}\) | \(0.07927 ^{\{ 16 \}}\) | |
\(\pmb K{_6}\) | \(0.0627 ^{\{ 9 \}}\) | \(0.0754 ^{\{ 13 \}}\) | \(0.0591 ^{\{ 12 \}}\) | \(0.15068 ^{\{ 14 \}}\) | \(0.06146 ^{\{ 6 \}}\) | \(0.08959 ^{\{ 15 \}}\) | \(0.03906 ^{\{ 11 \}}\) | \(0.16752 ^{\{ 16 \}}\) | |
\(\sum Ranks\) | \(60 ^{\{ 6 \}}\) | \(110 ^{\{ 13 \}}\) | \(99 ^{\{ 11.5 \}}\) | \(132 ^{\{ 14 \}}\) | \(62 ^{\{ 7.5 \}}\) | \(136 ^{\{ 16 \}}\) | \(62 ^{\{ 7.5 \}}\) | \(135 ^{\{ 15 \}}\) | |
80 | \(\pmb K{_1}\)(\(\hat{\alpha }\)) | \(0.04743 ^{\{ 9 \}}\) | \(0.05464 ^{\{ 12 \}}\) | \(0.05297 ^{\{ 11 \}}\) | \(0.07854 ^{\{ 16 \}}\) | \(0.04839 ^{\{ 10 \}}\) | \(0.06543 ^{\{ 15 \}}\) | \(0.0458 ^{\{ 6 \}}\) | \(0.06337 ^{\{ 13 \}}\) |
\(\pmb K{_1}\)(\(\hat{\beta }\)) | \(0.02952 ^{\{ 5 \}}\) | \(0.03858 ^{\{ 12 \}}\) | \(0.03771 ^{\{ 11 \}}\) | \(0.04538 ^{\{ 14 \}}\) | \(0.03088 ^{\{ 9 \}}\) | \(0.04622 ^{\{ 15 \}}\) | \(0.03275 ^{\{ 10 \}}\) | \(0.04513 ^{\{ 13 \}}\) | |
\(\pmb K{_2}\)(\(\hat{\alpha }\)) | \(0.00364 ^{\{ 9 \}}\) | \(0.00464 ^{\{ 12 \}}\) | \(0.00424 ^{\{ 11 \}}\) | \(0.00966 ^{\{ 16 \}}\) | \(0.00373 ^{\{ 10 \}}\) | \(0.00655 ^{\{ 15 \}}\) | \(0.00333 ^{\{ 5 \}}\) | \(0.00613 ^{\{ 13 \}}\) | |
\(\pmb K{_2}\)(\(\hat{\beta }\)) | \(0.0014 ^{\{ 5 \}}\) | \(0.00238 ^{\{ 12 \}}\) | \(0.00231 ^{\{ 11 \}}\) | \(0.00351 ^{\{ 15 \}}\) | \(0.00152 ^{\{ 9 \}}\) | \(0.00333 ^{\{ 13.5 \}}\) | \(0.00178 ^{\{ 10 \}}\) | \(0.00333 ^{\{ 13.5 \}}\) | |
\(\pmb K{_3}\)(\(\hat{\alpha }\)) | \(0.05929 ^{\{ 9 \}}\) | \(0.0683 ^{\{ 12 \}}\) | \(0.06621 ^{\{ 11 \}}\) | \(0.09817 ^{\{ 16 \}}\) | \(0.06049 ^{\{ 10 \}}\) | \(0.08179 ^{\{ 15 \}}\) | \(0.05725 ^{\{ 6 \}}\) | \(0.07921 ^{\{ 13 \}}\) | |
\(\pmb K{_3}\)(\(\hat{\beta }\)) | \(0.14758 ^{\{ 5 \}}\) | \(0.19291 ^{\{ 12 \}}\) | \(0.18856 ^{\{ 11 \}}\) | \(0.2269 ^{\{ 14 \}}\) | \(0.1544 ^{\{ 9 \}}\) | \(0.2311 ^{\{ 15 \}}\) | \(0.16373 ^{\{ 10 \}}\) | \(0.22567 ^{\{ 13 \}}\) | |
\(\pmb K{_4}\) | \(0.02079 ^{\{ 8 \}}\) | \(0.02802 ^{\{ 13 \}}\) | \(0.02611 ^{\{ 12 \}}\) | \(0.02932 ^{\{ 14 \}}\) | \(0.02098 ^{\{ 9 \}}\) | \(0.03032 ^{\{ 15 \}}\) | \(0.02271 ^{\{ 10 \}}\) | \(0.03078 ^{\{ 16 \}}\) | |
\(\pmb K{_5}\) | \(0.03527 ^{\{ 8 \}}\) | \(0.04636 ^{\{ 13 \}}\) | \(0.04384 ^{\{ 12 \}}\) | \(0.05268 ^{\{ 16 \}}\) | \(0.03577 ^{\{ 9 \}}\) | \(0.05137 ^{\{ 14 \}}\) | \(0.03799 ^{\{ 10 \}}\) | \(0.05161 ^{\{ 15 \}}\) | |
\(\pmb K{_6}\) | \(0.01963 ^{\{ 8 \}}\) | \(0.02359 ^{\{ 13 \}}\) | \(0.02124 ^{\{ 12 \}}\) | \(0.03864 ^{\{ 16 \}}\) | \(0.01937 ^{\{ 9 \}}\) | \(0.03329 ^{\{ 14 \}}\) | \(0.02039 ^{\{ 10 \}}\) | \(0.02664 ^{\{ 15 \}}\) | |
\(\sum Ranks\) | \(68 ^{\{ 8 \}}\) | \(111 ^{\{ 12 \}}\) | \(102 ^{\{ 11 \}}\) | \(137 ^{\{ 16 \}}\) | \(84 ^{\{ 10 \}}\) | \(132.5 ^{\{ 15 \}}\) | \(78 ^{\{ 9 \}}\) | \(123.5 ^{\{ 14 \}}\) | |
150 | \(\pmb K{_1}\)(\(\hat{\alpha }\)) | \(0.03427 ^{\{ 9 \}}\) | \(0.04166 ^{\{ 12 \}}\) | \(0.03801 ^{\{ 11 \}}\) | \(0.06027 ^{\{ 16 \}}\) | \(0.03547 ^{\{ 10 \}}\) | \(0.04659 ^{\{ 14 \}}\) | \(0.03383 ^{\{ 7 \}}\) | \(0.04557 ^{\{ 13 \}}\) |
\(\pmb K{_1}\)(\(\hat{\beta }\)) | \(0.02142 ^{\{ 5 \}}\) | \(0.02938 ^{\{ 12 \}}\) | \(0.02701 ^{\{ 11 \}}\) | \(0.03444 ^{\{ 16 \}}\) | \(0.02252 ^{\{ 9 \}}\) | \(0.03255 ^{\{ 13 \}}\) | \(0.02386 ^{\{ 10 \}}\) | \(0.03276 ^{\{ 14 \}}\) | |
\(\pmb K{_2}\)(\(\hat{\alpha }\)) | \(0.00191 ^{\{ 9 \}}\) | \(0.00271 ^{\{ 12 \}}\) | \(0.0022 ^{\{ 11 \}}\) | \(0.00597 ^{\{ 16 \}}\) | \(0.00202 ^{\{ 10 \}}\) | \(0.00332 ^{\{ 14 \}}\) | \(0.00184 ^{\{ 8 \}}\) | \(0.00323 ^{\{ 13 \}}\) | |
\(\pmb K{_2}\)(\(\hat{\beta }\)) | \(0.00074 ^{\{ 6 \}}\) | \(0.00138 ^{\{ 12 \}}\) | \(0.00114 ^{\{ 11 \}}\) | \(0.0021 ^{\{ 16 \}}\) | \(0.00082 ^{\{ 9 \}}\) | \(0.0017 ^{\{ 13 \}}\) | \(0.00097 ^{\{ 10 \}}\) | \(0.00171 ^{\{ 14 \}}\) | |
\(\pmb K{_3}\)(\(\hat{\alpha }\)) | \(0.04284 ^{\{ 9 \}}\) | \(0.05207 ^{\{ 12 \}}\) | \(0.04751 ^{\{ 11 \}}\) | \(0.07534 ^{\{ 16 \}}\) | \(0.04434 ^{\{ 10 \}}\) | \(0.05824 ^{\{ 14 \}}\) | \(0.04228 ^{\{ 7 \}}\) | \(0.05696 ^{\{ 13 \}}\) | |
\(\pmb K{_3}\)(\(\hat{\beta }\)) | \(0.10708 ^{\{ 5 \}}\) | \(0.14689 ^{\{ 12 \}}\) | \(0.13505 ^{\{ 11 \}}\) | \(0.17219 ^{\{ 16 \}}\) | \(0.1126 ^{\{ 9 \}}\) | \(0.16274 ^{\{ 13 \}}\) | \(0.11931 ^{\{ 10 \}}\) | \(0.16382 ^{\{ 14 \}}\) | |
\(\pmb K{_4}\) | \(0.01499 ^{\{ 8 \}}\) | \(0.02136 ^{\{ 13 \}}\) | \(0.01872 ^{\{ 12 \}}\) | \(0.02313 ^{\{ 14 \}}\) | \(0.01537 ^{\{ 9 \}}\) | \(0.02365 ^{\{ 16 \}}\) | \(0.01723 ^{\{ 10 \}}\) | \(0.02328 ^{\{ 15 \}}\) | |
\(\pmb K{_5}\) | \(0.02545 ^{\{ 8 \}}\) | \(0.03556 ^{\{ 13 \}}\) | \(0.03123 ^{\{ 12 \}}\) | \(0.04138 ^{\{ 16 \}}\) | \(0.02608 ^{\{ 9 \}}\) | \(0.03945 ^{\{ 15 \}}\) | \(0.0287 ^{\{ 10 \}}\) | \(0.0387 ^{\{ 14 \}}\) | |
\(\pmb K{_6}\) | \(0.01311 ^{\{ 8 \}}\) | \(0.0159 ^{\{ 13 \}}\) | \(0.01441 ^{\{ 12 \}}\) | \(0.02411 ^{\{ 16 \}}\) | \(0.01305 ^{\{ 9 \}}\) | \(0.01752 ^{\{ 15 \}}\) | \(0.01373 ^{\{ 10 \}}\) | \(0.01757 ^{\{ 14 \}}\) | |
\(\sum Ranks\) | \(69 ^{\{ 8 \}}\) | \(111 ^{\{ 12 \}}\) | \(102 ^{\{ 11 \}}\) | \(142 ^{\{ 16 \}}\) | \(84 ^{\{ 10 \}}\) | \(126 ^{\{ 15 \}}\) | \(83 ^{\{ 9 \}}\) | \(125 ^{\{ 14 \}}\) |
300 | \(\pmb K{_1}\)(\(\hat{\alpha }\)) | \(0.02419 ^{\{ 8 \}}\) | \(0.02825 ^{\{ 12 \}}\) | \(0.02512 ^{\{ 10 \}}\) | \(0.04554 ^{\{ 16 \}}\) | \(0.02461 ^{\{ 9 \}}\) | \(0.03201 ^{\{ 14 \}}\) | \(0.02544 ^{\{ 11 \}}\) | \(0.0317 ^{\{ 13 \}}\) |
\(\pmb K{_1}\)(\(\hat{\beta }\)) | \(0.01506 ^{\{ 6 \}}\) | \(0.01969 ^{\{ 12 \}}\) | \(0.01772 ^{\{ 11 \}}\) | \(0.02581 ^{\{ 16 \}}\) | \(0.01588 ^{\{ 9 \}}\) | \(0.02233 ^{\{ 14 \}}\) | \(0.0173 ^{\{ 10 \}}\) | \(0.02192 ^{\{ 13 \}}\) | |
\(\pmb K{_2}\)(\(\hat{\alpha }\)) | \(0.00096 ^{\{ 8 \}}\) | \(0.00129 ^{\{ 12 \}}\) | \(0.00099 ^{\{ 10 \}}\) | \(0.00347 ^{\{ 16 \}}\) | \(0.00098 ^{\{ 9 \}}\) | \(0.00157 ^{\{ 14 \}}\) | \(0.001 ^{\{ 11 \}}\) | \(0.00153 ^{\{ 13 \}}\) | |
\(\pmb K{_2}\)(\(\hat{\beta }\)) | \(0.00037 ^{\{ 6.5 \}}\) | \(0.00063 ^{\{ 12 \}}\) | \(0.00051 ^{\{ 11 \}}\) | \(0.00118 ^{\{ 16 \}}\) | \(4e-04 ^{\{ 9 \}}\) | \(0.00078 ^{\{ 14 \}}\) | \(0.00048 ^{\{ 10 \}}\) | \(0.00075 ^{\{ 13 \}}\) | |
\(\pmb K{_3}\)(\(\hat{\alpha }\)) | \(0.03024 ^{\{ 8 \}}\) | \(0.03531 ^{\{ 12 \}}\) | \(0.03139 ^{\{ 10 \}}\) | \(0.05693 ^{\{ 16 \}}\) | \(0.03077 ^{\{ 9 \}}\) | \(0.04001 ^{\{ 14 \}}\) | \(0.03179 ^{\{ 11 \}}\) | \(0.03962 ^{\{ 13 \}}\) | |
\(\pmb K{_3}\)(\(\hat{\beta }\)) | \(0.07529 ^{\{ 6 \}}\) | \(0.09843 ^{\{ 12 \}}\) | \(0.08862 ^{\{ 11 \}}\) | \(0.12905 ^{\{ 16 \}}\) | \(0.07941 ^{\{ 9 \}}\) | \(0.11164 ^{\{ 14 \}}\) | \(0.08652 ^{\{ 10 \}}\) | \(0.10959 ^{\{ 13 \}}\) | |
\(\pmb K{_4}\) | \(0.01023 ^{\{ 8 \}}\) | \(0.01467 ^{\{ 13 \}}\) | \(0.01325 ^{\{ 12 \}}\) | \(0.01723 ^{\{ 16 \}}\) | \(0.01099 ^{\{ 9 \}}\) | \(0.01622 ^{\{ 14 \}}\) | \(0.01206 ^{\{ 10 \}}\) | \(0.01637 ^{\{ 15 \}}\) | |
\(\pmb K{_5}\) | \(0.01738 ^{\{ 8 \}}\) | \(0.02415 ^{\{ 13 \}}\) | \(0.02194 ^{\{ 11.5 \}}\) | \(0.03107 ^{\{ 16 \}}\) | \(0.01857 ^{\{ 9 \}}\) | \(0.0268 ^{\{ 14 \}}\) | \(0.02022 ^{\{ 10 \}}\) | \(0.0272 ^{\{ 15 \}}\) | |
\(\pmb K{_6}\) | \(0.00845 ^{\{ 8 \}}\) | \(0.01019 ^{\{ 13 \}}\) | \(0.00933 ^{\{ 11.5 \}}\) | \(0.01646 ^{\{ 16 \}}\) | \(0.00824 ^{\{ 9 \}}\) | \(0.01111 ^{\{ 14 \}}\) | \(0.00876 ^{\{ 10 \}}\) | \(0.01123 ^{\{ 15 \}}\) | |
\(\sum Ranks\) | \(66.5 ^{\{ 8 \}}\) | \(108 ^{\{ 12 \}}\) | \(95.5 ^{\{ 11 \}}\) | \(141 ^{\{ 16 \}}\) | \(87 ^{\{ 9 \}}\) | \(123 ^{\{ 15 \}}\) | \(91 ^{\{ 10 \}}\) | \(120 ^{\{ 14 \}}\) | |
400 | \(\pmb K{_1}\)(\(\hat{\alpha }\)) | \(0.02132 ^{\{ 9 \}}\) | \(0.02487 ^{\{ 12 \}}\) | \(0.022 ^{\{ 11 \}}\) | \(0.04026 ^{\{ 16 \}}\) | \(0.02173 ^{\{ 10 \}}\) | \(0.02732 ^{\{ 14 \}}\) | \(0.02072 ^{\{ 7 \}}\) | \(0.02694 ^{\{ 13 \}}\) |
\(\pmb K{_1}\)(\(\hat{\beta }\)) | \(0.01314 ^{\{ 5 \}}\) | \(0.01735 ^{\{ 12 \}}\) | \(0.01512 ^{\{ 11 \}}\) | \(0.02242 ^{\{ 16 \}}\) | \(0.01382 ^{\{ 9 \}}\) | \(0.01936 ^{\{ 14 \}}\) | \(0.01426 ^{\{ 10 \}}\) | \(0.019 ^{\{ 13 \}}\) | |
\(\pmb K{_2}\)(\(\hat{\alpha }\)) | \(0.00073 ^{\{ 9 \}}\) | \(0.00094 ^{\{ 12 \}}\) | \(0.00077 ^{\{ 10 \}}\) | \(0.00279 ^{\{ 16 \}}\) | \(8e-04 ^{\{ 11 \}}\) | \(0.00115 ^{\{ 13 \}}\) | \(0.00067 ^{\{ 6.5 \}}\) | \(0.00116 ^{\{ 14 \}}\) | |
\(\pmb K{_2}\)(\(\hat{\beta }\)) | \(0.00028 ^{\{ 6 \}}\) | \(0.00048 ^{\{ 12 \}}\) | \(0.00037 ^{\{ 11 \}}\) | \(0.00091 ^{\{ 16 \}}\) | \(0.00034 ^{\{ 10 \}}\) | \(6e-04 ^{\{ 14 \}}\) | \(0.00033 ^{\{ 9 \}}\) | \(0.00058 ^{\{ 13 \}}\) | |
\(\pmb K{_3}\)(\(\hat{\alpha }\)) | \(0.02665 ^{\{ 9 \}}\) | \(0.03108 ^{\{ 12 \}}\) | \(0.0275 ^{\{ 11 \}}\) | \(0.05033 ^{\{ 16 \}}\) | \(0.02717 ^{\{ 10 \}}\) | \(0.03415 ^{\{ 14 \}}\) | \(0.0259 ^{\{ 7 \}}\) | \(0.03367 ^{\{ 13 \}}\) | |
\(\pmb K{_3}\)(\(\hat{\beta }\)) | \(0.06571 ^{\{ 5 \}}\) | \(0.08676 ^{\{ 12 \}}\) | \(0.07562 ^{\{ 11 \}}\) | \(0.11211 ^{\{ 16 \}}\) | \(0.0691 ^{\{ 9 \}}\) | \(0.09682 ^{\{ 14 \}}\) | \(0.0713 ^{\{ 10 \}}\) | \(0.09501 ^{\{ 13 \}}\) | |
\(\pmb K{_4}\) | \(0.00912 ^{\{ 9 \}}\) | \(0.01297 ^{\{ 13 \}}\) | \(0.01111 ^{\{ 12 \}}\) | \(0.01539 ^{\{ 16 \}}\) | \(0.00905 ^{\{ 8 \}}\) | \(0.01416 ^{\{ 14 \}}\) | \(0.01061 ^{\{ 10 \}}\) | \(0.01438 ^{\{ 15 \}}\) | |
\(\pmb K{_5}\) | \(0.01555 ^{\{ 9 \}}\) | \(0.02156 ^{\{ 13 \}}\) | \(0.01849 ^{\{ 11 \}}\) | \(0.02796 ^{\{ 16 \}}\) | \(0.01544 ^{\{ 8 \}}\) | \(0.02343 ^{\{ 14 \}}\) | \(0.01756 ^{\{ 10 \}}\) | \(0.02371 ^{\{ 15 \}}\) | |
\(\pmb K{_6}\) | \(0.00734 ^{\{ 9 \}}\) | \(0.00869 ^{\{ 13 \}}\) | \(0.00794 ^{\{ 11 \}}\) | \(0.01391 ^{\{ 16 \}}\) | \(0.00699 ^{\{ 8 \}}\) | \(0.0093 ^{\{ 14 \}}\) | \(0.00728 ^{\{ 10 \}}\) | \(0.00957 ^{\{ 15 \}}\) | |
\(\sum Ranks\) | \(71 ^{\{ 8 \}}\) | \(109 ^{\{ 12 \}}\) | \(99 ^{\{ 11 \}}\) | \(141 ^{\{ 16 \}}\) | \(89 ^{\{ 10 \}}\) | \(125 ^{\{ 15 \}}\) | \(78.5 ^{\{ 9 \}}\) | \(122 ^{\{ 14 \}}\) | |
500 | \(\pmb K{_1}\)(\(\hat{\alpha }\)) | \(0.01941 ^{\{ 9 \}}\) | \(0.02191 ^{\{ 12 \}}\) | \(0.0203 ^{\{ 11 \}}\) | \(0.03691 ^{\{ 16 \}}\) | \(0.01978 ^{\{ 10 \}}\) | \(0.02422 ^{\{ 14 \}}\) | \(0.0192 ^{\{ 8 \}}\) | \(0.0239 ^{\{ 13 \}}\) |
\(\pmb K{_1}\)(\(\hat{\beta }\)) | \(0.01219 ^{\{ 8 \}}\) | \(0.015 ^{\{ 12 \}}\) | \(0.01383 ^{\{ 11 \}}\) | \(0.02042 ^{\{ 16 \}}\) | \(0.0128 ^{\{ 9 \}}\) | \(0.01699 ^{\{ 14 \}}\) | \(0.01307 ^{\{ 10 \}}\) | \(0.01665 ^{\{ 13 \}}\) | |
\(\pmb K{_2}\)(\(\hat{\alpha }\)) | \(0.00058 ^{\{ 9 \}}\) | \(0.00074 ^{\{ 12 \}}\) | \(0.00064 ^{\{ 10 \}}\) | \(0.00222 ^{\{ 16 \}}\) | \(0.00066 ^{\{ 11 \}}\) | \(0.00091 ^{\{ 14 \}}\) | \(0.00057 ^{\{ 8 \}}\) | \(9e-04 ^{\{ 13 \}}\) | |
\(\pmb K{_2}\)(\(\hat{\beta }\)) | \(0.00023 ^{\{ 8 \}}\) | \(0.00035 ^{\{ 12 \}}\) | \(0.00031 ^{\{ 11 \}}\) | \(0.00069 ^{\{ 16 \}}\) | \(0.00028 ^{\{ 10 \}}\) | \(0.00046 ^{\{ 14 \}}\) | \(0.00027 ^{\{ 9 \}}\) | \(0.00045 ^{\{ 13 \}}\) | |
\(\pmb K{_3}\)(\(\hat{\alpha }\)) | \(0.02426 ^{\{ 9 \}}\) | \(0.02739 ^{\{ 12 \}}\) | \(0.02537 ^{\{ 11 \}}\) | \(0.04613 ^{\{ 16 \}}\) | \(0.02473 ^{\{ 10 \}}\) | \(0.03028 ^{\{ 14 \}}\) | \(0.024 ^{\{ 8 \}}\) | \(0.02987 ^{\{ 13 \}}\) | |
\(\pmb K{_3}\)(\(\hat{\beta }\)) | \(0.06095 ^{\{ 8 \}}\) | \(0.07498 ^{\{ 12 \}}\) | \(0.06913 ^{\{ 11 \}}\) | \(0.1021 ^{\{ 16 \}}\) | \(0.06401 ^{\{ 9 \}}\) | \(0.08495 ^{\{ 14 \}}\) | \(0.06533 ^{\{ 10 \}}\) | \(0.08324 ^{\{ 13 \}}\) | |
\(\pmb K{_4}\) | \(0.008 ^{\{ 8 \}}\) | \(0.01135 ^{\{ 13 \}}\) | \(0.0104 ^{\{ 12 \}}\) | \(0.01418 ^{\{ 16 \}}\) | \(0.00835 ^{\{ 9 \}}\) | \(0.01302 ^{\{ 14 \}}\) | \(0.00945 ^{\{ 10 \}}\) | \(0.01316 ^{\{ 15 \}}\) | |
\(\pmb K{_5}\) | \(0.01364 ^{\{ 8 \}}\) | \(0.01879 ^{\{ 13 \}}\) | \(0.01726 ^{\{ 11 \}}\) | \(0.02577 ^{\{ 16 \}}\) | \(0.01421 ^{\{ 9 \}}\) | \(0.02145 ^{\{ 14 \}}\) | \(0.01582 ^{\{ 10 \}}\) | \(0.02167 ^{\{ 15 \}}\) | |
\(\pmb K{_6}\) | \(0.00625 ^{\{ 8 \}}\) | \(0.00735 ^{\{ 13 \}}\) | \(0.00686 ^{\{ 11 \}}\) | \(0.01235 ^{\{ 16 \}}\) | \(0.00612 ^{\{ 9 \}}\) | \(0.00843 ^{\{ 14 \}}\) | \(0.00642 ^{\{ 10 \}}\) | \(0.0083 ^{\{ 15 \}}\) | |
\(\sum Ranks\) | \(75 ^{\{ 8 \}}\) | \(109 ^{\{ 12 \}}\) | \(98 ^{\{ 11 \}}\) | \(141 ^{\{ 16 \}}\) | \(84 ^{\{ 10 \}}\) | \(124 ^{\{ 15 \}}\) | \(82 ^{\{ 9 \}}\) | \(123 ^{\{ 14 \}}\) |
