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

Table 4

Results of the methods for constructing joint confidence regions for (λ, α) with confidence level .

	Methods
		Mean area	8.0701	10.5512	15.5331	17.6929	21.8188
		Coverage rate	0.96	0.949	0.949	0.952	0.959
		Mean area	3.0543	3.7328	4.7094	5.2673	6.1423
		Coverage rate	0.964	0.956	0.95	0.949	0.952
40		Mean area	6.2578	8.0063	10.1501	12.8546	15.722
		Coverage rate	0.942	0.963	0.962	0.942	0.942
		Mean area	2.211	2.6583	3.1734	3.6342	4.174
		Coverage rate	0.949	0.951	0.956	0.948	0.953
		Mean area	4.7221	6.71	8.016	10.0739	12.373
		Coverage rate	0.951	0.935	0.958	0.944	0.955
		Mean area	1.6762	2.0329	2.404	2.798	3.201
		Coverage rate	0.95	0.931	0.956	0.959	0.947
		Mean area	4.3159	5.4371	7.1443	8.3226	10.2957
		Coverage rate	0.954	0.939	0.953	0.94	0.951
		Mean area	1.4017	1.6443	1.9985	2.2489	2.5635
		Coverage rate	0.954	0.943	0.952	0.944	0.96
		Mean area	3.1997	4.2806	5.3322	6.392	7.7788
		Coverage rate	0.951	0.956	0.951	0.957	0.948
		Mean area	1.0114	1.2325	1.4396	1.6863	1.8538
		Coverage rate	0.947	0.956	0.955	0.951	0.942
		Mean area	2.6803	3.4994	4.418	5.4509	6.3339
		Coverage rate	0.951	0.947	0.965	0.947	0.951
		Mean area	0.7938	0.9673	1.1306	1.3265	1.4548
		Coverage rate	0.947	0.945	0.962	0.943	0.964