Parameter Estimation and Joint Confidence Regions for the Parameters of the Generalized Lindley Distribution

Table 3

Results of the methods for constructing intervals for with confidence level .

	Methods
		Mean width	2.4282	2.4056	2.3482	2.3093	2.2885
		Coverage rate	0.947	0.947	0.941	0.944	0.951
		Mean width	1.3872	1.3424	1.2958	1.2705	1.2539
		Coverage rate	0.948	0.942	0.955	0.943	0.952
40		Mean width	2.2463	2.2405	2.2048	2.1733	2.1644
		Coverage rate	0.945	0.95	0.947	0.957	0.958
		Mean width	1.1937	1.1545	1.1209	1.0939	1.0828
		Coverage rate	0.947	0.938	0.938	0.958	0.948
50		Mean width	2.1506	2.107	2.0635	2.0356	2.0293
		Coverage rate	0.953	0.945	0.936	0.954	0.949
		Mean width	1.0566	1.0174	0.9953	0.9732	0.9563
		Coverage rate	0.953	0.945	0.943	0.947	0.95
60		Mean width	2.0555	2.0197	1.98	1.9502	1.9397
		Coverage rate	0.953	0.952	0.955	0.948	0.951
		Mean width	0.9627	0.9331	0.9021	0.8856	0.8692
		Coverage rate	0.94	0.957	0.952	0.942	0.952
		Mean width	1.9277	1.8859	1.8485	1.8418	1.8412
		Coverage rate	0.958	0.959	0.956	0.961	0.941
		Mean width	0.831	0.7995	0.777	0.7599	0.7521
		Coverage rate	0.952	0.947	0.942	0.951	0.951
		Mean width	1.8251	1.7883	1.7849	1.7729	1.7633
		Coverage rate	0.954	0.948	0.951	0.946	0.956
		Mean width	0.7423	0.7119	0.6947	0.6804	0.6684
		Coverage rate	0.937	0.961	0.946	0.948	0.947