Research Article
Some New Robust Estimators for Circular Logistic Regression Model with Applications on Meteorological and Ecological Data
Table 1
Bias and
of all methods for uncontaminated data.
| | Methods | | | | Bias | | Bias | | Bias | |
| 1 | | 0.0049 | 0.0166 | 0.0023 | 0.0127 | 0.0025 | 0.0114 | | 0.0029 | 0.0194 | 0.0017 | 0.0140 | 0.0028 | 0.0123 | | 0.0038 | 0.0166 | 0.0021 | 0.0128 | 0.0022 | 0.0114 | | 0.0051 | 0.0179 | 0.0028 | 0.0135 | 0.0028 | 0.0117 | | 0.0050 | 0.0179 | 0.0030 | 0.0135 | 0.0030 | 0.0118 |
| 2 | | 0.0064 | 0.0213 | 0.0012 | 0.0166 | 1.2e-03 | 0.0131 | | 0.0113 | 0.1496 | 0.0055 | 0.0601 | 2.3e-03 | 0.0406 | | 0.0062 | 0.0233 | 0.0010 | 0.0177 | 1.6e-03 | 0.0136 | | 0.0083 | 0.0220 | 0.0024 | 0.0171 | 1.0e-03 | 0.0136 | | 0.0057 | 0.1396 | 0.0010 | 0.0182 | 4.2e-05 | 0.0143 |
| 6 | | 0.0170 | 0.2221 | 0.0110 | 0.0849 | 0.0066 | 0.0642 | | 0.1099 | 0.8734 | 0.0767 | 0.3499 | 0.0417 | 0.2006 | | 0.0197 | 0.2346 | 0.0176 | 0.0963 | 0.0105 | 0.0749 | | 0.0060 | 0.2248 | 0.0043 | 0.0908 | 0.0033 | 0.0641 | | 0.0307 | 0.2402 | 0.0007 | 0.0316 | 0.0471 | 0.0632 |
| 10 | | 0.0216 | 0.1392 | 0.0162 | 0.1155 | 0.0168 | 0.0938 | | 0.0634 | 0.3600 | 0.0624 | 0.2769 | 0.0609 | 0.2530 | | 0.0341 | 0.1529 | 0.0319 | 0.1311 | 0.0160 | 0.1030 | | 0.0326 | 0.1419 | 0.0173 | 0.1182 | 0.0177 | 0.0948 | | 0.0764 | 0.1264 | 0.0719 | 0.1090 | 0.0752 | 0.0871 |
| 15 | | 0.0895 | 0.2501 | 0.0706 | 0.1992 | 0.0330 | 0.1789 | | 0.1518 | 1.0260 | 0.1158 | 0.4844 | 0.1414 | 0.4132 | | 0.0784 | 0.2749 | 0.0716 | 0.2137 | 0.0529 | 0.1945 | | 0.0859 | 0.2560 | 0.0626 | 0.2035 | 0.0324 | 0.1805 | | 0.0934 | 0.9754 | 0.0835 | 0.1949 | 0.0816 | 0.1661 |
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