New Weighted Burr XII Distribution: Statistical Properties, Applications, and Regression

Table 2

Simulation results.

n	Parameter	I:  = 6.85,  = 0.10,  = 0.50		II:  = 10.65,  = 6.10,  = 10.50		III:  = 1.65,  = 1.90,  = 6.50
		AB	RMSE	AB	RMSE	AB	RMSE
50		−1.5913	2.1356	1.1832	7.1186	0.8491	4.1517
		0.3191	0.7798	0.3079	1.1701	0.1043	1.5802
		−0.2135	0.2571	−0.2841	1.0615	0.3718	3.3300
100		1.7718	2.5905	0.6330	7.9682	0.8389	3.9530
		−0.0076	0.0213	1.3033	3.1003	−0.0291	1.3054
		0.1162	0.2155	−0.6349	1.7717	0.2448	2.4441
150		0.0324	1.2733	0.0324	1.2734	0.5711	3.2103
		0.0108	0.0468	0.1374	1.7029	−0.0034	1.1086
		0.0220	0.1550	−0.1377	1.4706	0.1301	2.0427
200		−0.0261	0.7855	1.3514	7.8902	0.4383	2.5582
		0.0347	0.0729	1.3073	3.0935	−0.0452	0.9946
		−0.0402	0.1925	−0.4977	1.8115	0.1107	1.7736
250		1.1190	1.8270	1.4778	8.2049	0.3693	2.1327
		0.0101	0.0439	0.6561	1.9062	−0.0679	0.9441
		0.0385	0.1740	−0.3780	1.7054	0.0295	1.6772
300		0.3728	1.3912	0.4715	7.0629	0.2919	1.9030
		0.0195	0.0409	0.8568	2.2707	−0.0316	0.8298
		−0.0357	0.1590	−0.3984	1.4509	0.0541	1.5455
350		0.4073	1.0639	−2.7935	6.6380	0.2249	1.5689
		0.0103	0.0446	1.8828	3.0989	−0.0242	0.7604
		0.1590	0.0240	−0.9480	1.5690	0.0614	1.3707
500		0.4397	1.0547	−0.2573	5.7444	0.1156	1.1918
		0.0125	0.0306	0.6320	1.4910	−0.0049	0.6104
		−0.0152	0.1335	−0.3102	1.2754	0.0049	1.1232
600		0.2089	1.0249	0.0530	5.2173	0.0989	0.7007
		0.0072	0.0179	0.4432	1.3874	−0.0523	0.5460
		−0.0226	0.0839	−0.3068	1.1778	0.0829	1.0102