Some New Robust Estimators for Circular Logistic Regression Model with Applications on Meteorological and Ecological Data

Table 7

Bias and of all methods for data with various percentages of bad leverage points (30% and 40%).

	% of misc error	Methods
			Bias		Bias		Bias
1	30		2.8247	8.0053	2.7137	8.0042	1.8248	9.1153
			0.4354	0.5614	0.3243	0.4503	0.2132	0.3402
			2.0318	4.1658	2.0207	4.0548	1.1318	5.1659
			2.8258	8.0112	2.7147	8.0001	1.6036	7.9880
			0.3752	0.5560	0.3641	0.4451	0.2530	0.3340
2			2.7136	8.1142	2.7226	8.1131	1.9359	9.2242
			0.5443	0.6703	0.4332	0.5602	0.3221	0.4501
			2.0207	4.0547	2.1306	4.1637	1.2407	5.2748
			2.9347	8.1201	2.8235	8.1100	1.7125	8.0970
			0.4841	0.6651	0.4730	0.5540	0.3620	0.4430
6			2.6025	8.0031	2.6115	8.0020	1.8248	9.1131
			0.4332	0.5612	0.3221	0.4511	0.2110	0.3410
			2.1116	4.1436	2.0215	4.0526	1.1316	5.1637
			2.8236	8.0110	2.7124	8.0011	1.6014	8.0861
			0.3730	0.5540	0.3621	0.4430	0.2511	0.3321
10			1.8247	9.2253	3.8337	9.2242	2.0560	9.9352
			0.6554	0.7834	0.5443	0.6733	0.4332	0.5632
			2.3338	4.3758	2.2437	4.2748	1.3538	5.2859
			2.0458	8.0332	2.7346	8.3322	1.8236	8.2983
			0.5952	0.7762	0.5843	0.6652	0.4733	0.5543
15			1.7137	9.1143	3.7227	9.1132	2.1450	9.8242
			0.5444	0.6724	0.4333	0.5623	0.3222	0.4522
			2.2228	4.2648	2.1327	4.1638	1.2428	5.1749
			2.0347	8.0221	2.6236	8.2212	1.7126	8.1873
			0.4842	0.6652	0.4733	0.5542	0.3623	0.4433
1	40		2.8838	8.5320	2.7728	8.4210	1.6617	7.3101
			0.7716	0.8849	0.6605	0.7738	0.6514	0.7627
			2.4287	5.9337	2.3176	5.8226	1.5287	6.9337
			2.8771	8.3148	2.7880	8.4037	2.6870	8.3126
			0.0515	0.3961	0.0404	0.2870	0.1313	0.1761
2			3.9948	9.6530	3.8838	9.5320	2.7727	8.4211
			0.6606	0.7739	0.5515	1.6628	0.5404	0.6517
			3.3177	6.8227	3.4286	6.9336	2.4177	7.8227
			2.8771	8.3148	2.7880	8.4037	2.7970	8.4216
			0.0626	0.3072	0.0515	0.2981	0.1424	0.1872
6			3.0039	9.7641	3.9949	9.6431	2.8838	8.5322
			0.7707	0.8849	0.6626	0.7739	0.4515	0.7628
			3.4288	6.9338	3.5397	6.9447	2.5287	7.9337
			2.9881	8.4268	2.8991	8.5148	3.6861	7.3105
			0.1737	0.4183	0.1626	0.3092	0.2535	0.2983
10			2.1128	8.9531	3.1038	9.7520	2.9927	8.6411
			0.8806	0.9938	0.5515	0.8828	0.5604	0.8717
			3.5378	6.0927	3.6408	6.8536	2.6376	7.0426
			2.0870	8.3179	2.7802	8.6259	3.7950	7.4204
			0.2826	0.5272	0.2715	0.4181	0.3624	0.3172
15			2.2239	8.9642	3.2149	9.7631	2.0017	8.6522
			0.9916	0.9049	0.6625	0.8939	0.6714	0.8828
			3.6488	6.0038	3.7518	6.8647	2.7486	7.0315
			2.1760	8.3288	2.8912	8.6369	3.8060	7.4315
			0.3936	0.5383	0.3815	0.4292	0.4734	0.3283