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

Table 2.

Means of estimates of the parameters and MSEs (in parentheses) for many estimation methods when n = 30.

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
30 0.75 0.75 0.8248 0.8421 0.8131 0.8093 0.7648 0.7694 0.7743 0.7838 0.7355 0.707 0.7602 0.7459 0.7835 0.797 0.8021 0.8734
      (0.0346) (0.0686) (0.0294) (0.0520) (0.0388) (0.0871) (0.0344) (0.0759) (0.0213) (0.0464) (0.0472) (0.0759) (0.0322) (0.0647) (0.0380) (0.1732)
    1.5 0.8326 1.6937 0.8329 1.6944 0.7663 1.5435 0.7779 1.578 0.7432 1.4237 0.7588 1.465 0.7873 1.6026 0.8084 1.77
      (0.0354) (0.2803) (0.0323) (0.2233) (0.0384) (0.3497) (0.0336) (0.3079) (0.0207) (0.1859) (0.0499) (0.2286) (0.0322) (0.2621) (0.0381) (0.7220)
    2.5 0.8409 2.8462 0.8214 2.6558 0.7682 2.5903 0.7822 2.6579 0.7514 2.3954 0.7545 2.4078 0.7917 2.6935 0.8147 2.9966
      (0.0363) (0.7761) (0.0280) (0.4083) (0.0366) (0.9924) (0.0317) (0.8855) (0.0202) (0.4971) (0.0565) (0.6103) (0.0318) (0.7327) (0.0376) (2.1468)
  1.5 0.75 1.6323 0.8032 1.548 0.7687 1.5357 0.7525 1.551 0.7624 1.4179 0.7005 1.5055 0.7427 1.5678 0.7725 1.5955 0.7977
      (0.1813) (0.0335) (0.1171) (0.0254) (0.2034) (0.0403) (0.1823) (0.0357) (0.1197) (0.0270) (0.1701) (0.0473) (0.1666) (0.0322) (0.1978) (0.0548)
    1.5 1.6316 1.6031 1.5746 1.5803 1.5358 1.5019 1.5508 1.5215 1.417 1.3978 1.5052 1.4717 1.5667 1.5417 1.5966 1.5943
      (0.1820) (0.1357) (0.1234) (0.1059) (0.2152) (0.1603) (0.1917) (0.1425) (0.1200) (0.1110) (0.1660) (0.1266) (0.1683) (0.1294) (0.2029) (0.2169)
    2.5 1.6357 2.6806 1.5395 2.5318 1.5361 2.5089 1.5515 2.5421 1.4208 2.338 1.4957 2.427 1.569 2.5766 1.5975 2.6627
      (0.1810) (0.3730) (0.1086) (0.2333) (0.2034) (0.4479) (0.1822) (0.3968) (0.1182) (0.2992) (0.1764) (0.3265) (0.1666) (0.3584) (0.1977) (0.6098)
  2.5 0.75 2.7646 0.7917 2.7206 0.7784 2.5881 0.7479 2.6136 0.7566 2.341 0.7019 2.4773 0.7306 2.6389 0.7649 2.6989 0.7826
      (0.6938) (0.0246) (0.4343) (0.0193) (0.8772) (0.0290) (0.7596) (0.0257) (0.4181) (0.0212) (0.6223) (0.0390) (0.6241) (0.0234) (0.7769) (0.0340)
    1.5 2.7649 1.5835 2.7689 1.5904 2.5882 1.4958 2.6137 1.5132 2.3413 1.4038 2.486 1.468 2.6392 1.5299 2.6992 1.5653
      (0.6939) (0.0985) (0.4657) (0.0804) (0.8773) (0.1160) (0.7596) (0.1030) (0.4178) (0.0847) (0.4900) (0.0922) (0.6242) (0.0937) (0.7770) (0.1359)
    2.5 2.7706 2.6458 2.7033 2.576 2.5877 2.4973 2.6141 2.5268 2.3466 2.3462 2.4768 2.4326 2.6432 2.5553 2.6991 2.6119
      (0.6900) (0.2715) (0.4012) (0.1828) (0.8102) (0.3223) (0.7091) (0.2850) (0.4132) (0.2295) (0.4893) (0.2311) (0.6191) (0.2591) (0.7557) (0.3790)