A New Truncated Muth Generated Family of Distributions with Applications

Table 6

Values of the MLEs, MSEs, and elements of CIs associated with the NTMW model parameters for Set2.

	MLE	MSE	90%			95%
			LB	UB	AL	LB	UB	AL
100	−0.3208	0.0043	−0.5306	−0.0911	0.4396	−0.5727	−0.0490	0.5237
	0.6541	0.5367	−0.5498	1.8579	2.4077	−0.7803	2.0884	2.8687
	1.0716	0.9261	−0.9936	3.1369	4.1305	−1.3891	3.5324	4.9215
200	−0.3119	0.0038	−0.4477	−0.1762	0.2715	−0.4737	−0.1502	0.3235
	0.6250	0.3725	−0.2091	1.4592	1.6683	−0.3689	1.6189	1.9878
	0.9152	0.6074	−0.3725	2.6030	2.9755	−0.6574	2.8878	3.5452
300	−0.3140	0.0031	−0.4164	−0.1916	0.2248	−0.4380	−0.1701	0.2679
	0.5621	0.1282	−0.0488	1.1731	1.2219	−0.1658	1.2901	1.4559
	0.8774	0.3450	−0.1100	2.0648	2.1748	−0.3182	2.2730	2.5912
1000	−0.3039	0.0008	−0.3690	−0.2387	0.1303	−0.3815	−0.2263	0.1553
	0.5229	0.0214	0.2001	0.8458	0.6456	0.1383	0.9076	0.7693
	0.7943	0.0613	0.3152	1.2733	0.9581	0.2234	1.3651	1.1416