Skip to main content
. 2021 Mar 19;23(3):367. doi: 10.3390/e23030367

Table 13.

Sample mean, variance, and MSE of estimators when θ=(0.5,0.1,0.2,0.4,0.3,0.3,0.2,0.1,0.4)T, n=200, and no outliers exist.

α ω^1 a^1 b^11 b^12 ω^2 a^2 b^21 b^22 δ^
0(CMLE) Mean 0.487 0.131 0.182 0.394 0.316 0.287 0.203 0.092 −0.313
Var ×102 2.173 2.095 0.526 0.806 2.213 4.245 0.411 0.475 33.35
MSE ×102 2.187 * 2.186 * 0.558 * 0.809 * 2.237 * 4.257 * 0.412 * 0.481 * 34.07
0.1 Mean 0.483 0.129 0.181 0.390 0.314 0.284 0.202 0.091 −0.294
Var ×102 2.391 2.104 0.571 0.958 2.337 4.358 0.452 0.487 31.43
MSE ×102 2.416 2.188 0.609 0.967 2.353 4.379 0.452 0.495 32.53 *
0.2 Mean 0.481 0.131 0.180 0.388 0.312 0.283 0.202 0.090 −0.285
Var ×102 2.542 2.158 0.608 1.040 2.427 4.490 0.484 0.512 31.25
MSE ×102 2.577 2.250 0.649 1.054 2.439 4.513 0.483 0.520 32.55
0.3 Mean 0.479 0.134 0.180 0.388 0.311 0.284 0.202 0.091 −0.284
Var ×102 2.612 2.225 0.636 1.069 2.531 4.657 0.503 0.537 32.24
MSE ×102 2.653 2.337 0.677 1.082 2.541 4.679 0.503 0.545 33.55
0.5 Mean 0.477 0.137 0.180 0.389 0.313 0.280 0.204 0.092 −0.285
Var ×102 2.860 2.423 0.726 1.183 2.681 4.733 0.554 0.601 35.16
MSE ×102 2.909 2.555 0.766 1.194 2.695 4.769 0.555 0.606 36.43
1 Mean 0.473 0.145 0.185 0.399 0.314 0.276 0.212 0.100 −0.324
Var ×102 3.364 3.057 1.016 1.549 3.003 5.321 0.746 0.858 48.77
MSE ×102 3.434 3.252 1.038 1.548 3.021 5.375 0.760 0.857 49.31