Journal of Statistical Distributions and Applications

Table 2 Bias and standard deviations for the N-L{C} parameters

From: New class of Lindley distributions: properties and applications

Actual Values				Bias			Standard deviation
θ	μ	σ	n	\(\hat {\theta }\)	\(\hat {\mu }\)	\(\hat {\sigma }\)	\(\hat {\theta }\)	\(\hat {\mu }\)	\(\hat {\sigma }\)
0.5^R	0	0.5	25	-0.0128	-0.0307	-0.0116	0.0988	0.4183	0.0940
			50	-0.0020	0.0001	-0.0009	0.0666	0.2668	0.0579
			100	0.0013	0.0111	-0.0008	0.0446	0.1753	0.0413
			200	-0.0011	-0.0022	-0.0005	0.0303	0.1180	0.0285
			500	-0.0008	-0.0020	-0.0003	0.0186	0.0710	0.0174
0.5^L	1	0.5	25	0.0038	-0.1409	-0.0753	0.1192	1.0857	0.4007
			50	0.0094	-0.0006	-0.0093	0.0801	0.5569	0.1906
			100	0.0075	0.0237	0.0012	0.0538	0.3532	0.1256
			200	0.0025	0.0031	-0.0017	0.0369	0.2425	0.0870
			500	0.0007	0.0001	-0.0009	0.0219	0.1409	0.0511
1.5^S	0.5	0.5	25	-0.0096	-0.0412	-0.0218	0.3137	0.5165	0.1684
			50	0.0115	0.0049	0.0002	0.2042	0.3071	0.0999
			100	0.0114	0.0144	0.0021	0.1365	0.2000	0.0712
			200	0.0007	-0.0021	-0.0018	0.1004	0.1503	0.0513
			500	0.0004	-0.0002	-0.0004	0.0608	0.0886	0.0314
1.5^B	0	1.5	25	-0.0263	-0.0658	0.0304	0.1607	0.4397	0.2512
			50	-0.0043	-0.0172	0.0232	0.1054	0.2984	0.1665
			100	-0.0005	0.0036	0.0089	0.0722	0.2057	0.1229
			200	-0.0026	-0.0047	0.0020	0.0516	0.1454	0.0850
			500	-0.0017	-0.0016	-0.0011	0.0319	0.0914	0.0516
2^B	1	1.5	25	0.0005	-0.0578	0.0291	0.2208	0.5701	0.3653
			50	0.0123	-0.0018	0.0344	0.1454	0.3653	0.2392
			100	0.0085	0.0153	0.0166	0.0964	0.2464	0.1730
			200	0.0017	-0.0009	0.0037	0.0711	0.1793	0.1246
			500	0.0003	0.0008	0.0015	0.0418	0.1066	0.0745
1.5^B	2	2	25	0.0206	-0.0385	0.0735	0.1638	0.9175	0.6150
			50	0.0176	0.0270	0.0711	0.1069	0.5780	0.4045
			100	0.0111	0.0390	0.0376	0.0706	0.3896	0.2904
			200	0.0029	0.0016	0.0107	0.0501	0.2910	0.2042
			500	0.0014	0.0046	0.0061	0.0299	0.1685	0.1235

^RSkewed to the right, ^Ssymmetric, ^Lskewed to the left, ^Bbimodal distribution

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