A New Truncated Muth Generated Family of Distributions with Applications

Table 5

Values of the MLEs, MSEs, and elements of CIs associated with the NTMW model parameters for Set1.

	MLE	MSE	90%			95%
			LB	UB	AL	LB	UB	AL
100	−0.4548	0.0167	−0.7616	−0.2080	0.5536	−0.8146	−0.1550	0.6596
	0.8435	1.5680	0.5743	2.6614	3.2358	−0.8842	2.9712	3.8554
	0.7862	0.2260	−0.4909	2.0634	2.5543	−0.7355	2.3079	3.0434
200	−0.4685	0.0150	−0.6661	−0.2708	0.3953	−0.7040	−0.2330	0.4710
	0.8130	0.3653	−0.1579	1.7839	1.9417	−0.3438	1.9698	2.3136
	0.7757	0.1368	−0.1556	1.6271	1.7827	−0.3263	1.7978	2.1241
300	−0.4872	0.0037	−0.6669	−0.3074	0.3595	−0.7014	−0.2730	0.4283
	0.6564	0.1103	−0.0891	1.4019	1.4910	−0.2318	1.5447	1.7765
	0.7454	0.0883	−0.0394	1.5302	1.5695	−0.1896	1.6804	1.8701
1000	−0.4913	0.0018	−0.5919	−0.3907	0.2012	−0.6112	−0.3714	0.2397
	0.5616	0.0373	0.2087	0.9145	0.7059	0.1411	0.9821	0.8410
	0.6869	0.0396	0.3311	1.2426	0.9115	0.2438	1.3299	1.0861