Research Article
Some New Robust Estimators for Circular Logistic Regression Model with Applications on Meteorological and Ecological Data
Table 3
Bias and
of all methods for data with various percentages of misclassified errors (30% and 40%).
| | % of misc error | Methods | | | | Bias | | Bias | | Bias | |
| 1 | 30 | | 2.8247 | 8.0053 | 3.7247 | 7.0043 | 2.6147 | 6.0032 | | 0.4354 | 0.5614 | 0.3254 | 0.6514 | 0.2154 | 0.5414 | | 2.0318 | 4.1658 | 1.0208 | 3.1548 | 1.0108 | 3.0448 | | 2.8258 | 8.0112 | 2.7158 | 8.0012 | 2.6058 | 8.0001 | | 0.3752 | 0.5560 | 0.2642 | 0.4450 | 0.1532 | 0.3340 | 2 | | 3.8247 | 9.0053 | 4.7247 | 8.0043 | 3.6147 | 7.0032 | | 0.5354 | 0.6614 | 0.4254 | 0.7514 | 0.3154 | 0.6414 | | 3.0318 | 5.1658 | 2.0208 | 4.1548 | 2.0108 | 4.0448 | | 3.8258 | 9.0112 | 3.7158 | 9.0012 | 3.6058 | 9.0001 | | 0.4752 | 0.6560 | 0.3642 | 0.5450 | 0.2532 | 0.4340 | 6 | | 3.9347 | 9.1153 | 4.8347 | 8.1143 | 3.7247 | 7.1132 | | 0.5464 | 0.6724 | 0.4364 | 0.7624 | 0.3264 | 0.6524 | | 3.0428 | 5.1768 | 2.0318 | 4.1658 | 2.0218 | 4.0558 | | 3.8368 | 9.0222 | 3.7268 | 9.0122 | 3.6168 | 9.0000 | | 0.4862 | 0.6670 | 0.3752 | 0.5560 | 0.2642 | 0.4450 | 10 | | 3.9358 | 9.1164 | 4.8358 | 8.1154 | 3.7258 | 7.1143 | | 0.3243 | 0.4503 | 0.2143 | 0.5403 | 0.1043 | 0.4303 | | 2.0207 | 4.0547 | 1.0107 | 3.0437 | 1.0007 | 3.0337 | | 2.7147 | 8.0001 | 2.6047 | 8.0001 | 2.5047 | 8.0000 | | 0.2641 | 0.6650 | 0.1531 | 0.3340 | 0.0421 | 0.2230 | 15 | | 3.8258 | 9.0064 | 4.7258 | 8.0054 | 3.6158 | 7.0043 | | 0.2143 | 0.3403 | 0.1043 | 0.4303 | 0.0043 | 0.3203 | | 2.1307 | 4.1647 | 1.1207 | 3.1537 | 1.1107 | 3.1437 | | 2.8247 | 8.1101 | 2.7147 | 8.1101 | 2.6147 | 8.1100 | | 0.3741 | 0.7750 | 0.2631 | 0.4440 | 0.1521 | 0.3330 | 1 | 40 | | 2.8838 | 8.5320 | 2.7727 | 8.4210 | 2.6616 | 8.3100 | | 0.7716 | 0.8849 | 0.7605 | 0.8738 | 0.7504 | 0.8627 | | 2.4287 | 5.9337 | 2.3177 | 5.0227 | 2.2066 | 5.0116 | | 2.8771 | 8.3148 | 2.7660 | 8.2037 | 2.6550 | 8.1026 | | 0.0515 | 0.3961 | 0.0404 | 0.2870 | 0.0314 | 0.2980 | 6 | | 2.9938 | 8.6420 | 2.8827 | 8.5310 | 2.7716 | 8.4200 | | 0.8816 | 0.9949 | 0.8705 | 0.9838 | 0.8604 | 0.9727 | | 2.5387 | 5.0437 | 2.4277 | 5.1327 | 2.3166 | 5.1216 | | 2.9871 | 8.4248 | 2.8760 | 8.3137 | 2.7650 | 8.2126 | | 0.1615 | 0.4071 | 0.0515 | 0.2981 | 0.0425 | 0.2091 | 10 | | 3.0049 | 9.5421 | 3.9828 | 9.6311 | 3.8717 | 9.5201 | | 0.9926 | 1.0030 | 0.9817 | 1.0949 | 0.9715 | 1.0838 | | 2.8753 | 5.3704 | 2.7742 | 5.2713 | 2.6631 | 5.1612 | | 2.7189 | 8.4842 | 2.6087 | 8.3731 | 2.5076 | 8.2621 | | 0.5161 | 0.7140 | 0.1505 | 0.8129 | 0.2504 | 0.2013 | 15 | | 3.1150 | 9.6532 | 3.0939 | 9.7422 | 3.9828 | 9.6312 | | 1.0937 | 1.1141 | 1.9817 | 1.1050 | 1.0626 | 1.9747 | | 2.9863 | 5.4817 | 2.8853 | 5.3824 | 2.7741 | 5.2723 | | 2.8290 | 8.5953 | 2.7198 | 8.4842 | 2.6187 | 8.3732 | | 0.6272 | 0.8251 | 0.2616 | 0.9230 | 0.3615 | 0.3124 |
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