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. 2022 Jul 19;50(15):3108–3124. doi: 10.1080/02664763.2022.2101045

Table 3.

Means of estimates of the parameters and MSEs (in parentheses) for many estimation methods when n = 100.

n α β α^ML β^ML α^B β^B α^LS β^LS α^WLS β^WLS α^MPS β^MPS α^P β^P α^AD β^AD α^RAD β^RAD
100 0.75 0.75 0.7905 0.7879 0.7879 0.7795 0.7551 0.7564 0.7661 0.7711 0.7583 0.7369 0.7538 0.7499 0.7645 0.7692 0.7724 0.7955
      (0.0084) (0.0155) (0.0080) (0.0142) (0.0092) (0.0203) (0.0076) (0.0170) (0.0060) (0.0126) (0.0132) (0.0228) (0.0079) (0.0161) (0.0085) (0.0301)
    1.5 0.7987 1.5852 0.7999 1.5907 0.7566 1.5168 0.7723 1.5564 0.7669 1.4838 0.753 1.4901 0.7681 1.546 0.7784 1.6105
      (0.0090) (0.0639) (0.0090) (0.0613) (0.0092) (0.0816) (0.0074) (0.0700) (0.0061) (0.0508) (0.0142) (0.0661) (0.0079) (0.0653) (0.0087) (0.1264)
    2.5 0.8043 2.6443 0.7996 2.5979 0.7569 2.528 0.7776 2.6104 0.7728 2.4764 0.7455 2.4468 0.7702 2.5801 0.7832 2.7096
      (0.0095) (0.1725) (0.0087) (0.1414) (0.0091) (0.2218) (0.0074) (0.1949) (0.0062) (0.1360) (0.0154) (0.1638) (0.0080) (0.1780) (0.0090) (0.3627)
  1.5 0.75 1.5333 0.7633 1.513 0.7541 1.505 0.7484 1.5138 0.7537 1.4519 0.7236 1.4986 0.746 1.515 0.7545 1.5222 0.7613
      (0.0368) (0.0080) (0.0331) (0.0074) (0.0474) (0.0105) (0.0406) (0.0089) (0.0333) (0.0079) (0.0484) (0.0142) (0.0394) (0.0086) (0.0432) (0.0127)
    1.5 1.5375 1.5289 1.5258 1.5252 1.5073 1.4979 1.5165 1.509 1.4559 1.4494 1.5002 1.4894 1.5179 1.5108 1.5244 1.5234
      (0.0366) (0.0323) (0.0333) (0.0302) (0.0469) (0.0421) (0.0402) (0.0359) (0.0324) (0.0314) (0.0454) (0.0377) (0.0388) (0.0346) (0.0420) (0.0496)
    2.5 1.5395 2.5536 1.5159 2.5139 1.5074 2.4993 1.5168 2.5184 1.4581 2.4214 1.4934 2.4698 1.5181 2.5209 1.5255 2.5446
      (0.0366) (0.0897) (0.0320) (0.0784) (0.0476) (0.1176) (0.0405) (0.0989) (0.0321) (0.0859) (0.0493) (0.0952) (0.0393) (0.0958) (0.0430) (0.1430)
  2.5 0.75 2.5698 0.762 2.5745 0.7598 2.5163 0.7483 2.5346 0.7535 2.4107 0.7271 2.4819 0.7417 2.5364 0.7541 2.5475 0.7581
      (0.1280) (0.0061) (0.1183) (0.0057) (0.1686) (0.0078) (0.1411) (0.0067) (0.1121) (0.0060) (0.1507) (0.0113) (0.1350) (0.0064) (0.1449) (0.0083)
    1.5 2.573 1.5252 2.5928 1.5315 2.5185 1.4979 2.5371 1.5084 2.4136 1.4552 2.492 1.4893 2.5384 1.5093 2.551 1.5179
      (0.1286) (0.0248) (0.1223) (0.0238) (0.1674) (0.0315) (0.1410) (0.0270) (0.1116) (0.0244) (0.1283) (0.0278) (0.1345) (0.0260) (0.1461) (0.0341)
    2.5 2.5633 2.5348 2.5622 2.5211 2.513 2.4925 2.5292 2.5082 2.4046 2.4185 2.4778 2.4683 2.5312 2.5101 2.5452 2.5257
      (0.1279) (0.0668) (0.1148) (0.0603) (0.1702) (0.0868) (0.1425) (0.0737) (0.1136) (0.0674) (0.1337) (0.0689) (0.1368) (0.0713) (0.1497) (0.0946)