Journal of Statistical Distributions and Applications

Table 2 The AEs, biases and MSEs of the OLLLN distribution for μ=0, σ=1, α=0.2,0.5 and β=−0.5,0.7 varying n

From: The odd log-logistic logarithmic generated family of distributions with applications in different areas

		α=0.2 β=−0.5				α=0.5 β=−0.5
n	Parameter	AE	Bias	MSE	Parameter	AE	Bias	MSE
50	μ	-0.0499	-0.0499	0.3033	μ	-0.0602	-0.0602	0.2529
	σ	0.9025	-0.0975	0.2581	σ	1.1766	0.1766	42.5479
	α	0.1926	-0.0074	0.0358	α	0.6543	0.1543	20.1315
	β	-0.7939	-0.2939	1.6520	β	-1.0228	-0.5228	3.4332
150	μ	-0.0518	-0.0518	0.2303	μ	-0.0003	-0.0003	0.1117
	σ	0.8911	-0.1089	0.1107	σ	0.9765	-0.0235	0.1005
	α	0.1771	-0.0229	0.0137	α	0.4934	-0.0066	0.0487
	β	-0.5812	-0.0812	0.4428	β	-0.9119	-0.4119	2.1433
300	μ	-0.0395	-0.0395	0.1105	μ	0.0037	0.0037	0.0551
	σ	0.8787	-0.1213	0.0772	σ	0.9877	-0.0123	0.0452
	α	0.1737	-0.0263	0.0099	α	0.4973	-0.0027	0.0211
	β	-0.5532	-0.0532	0.1873	β	-0.7216	-0.2216	0.9713
		α=0.2 β=0.7				α=0.5 β=0.7
n	Parameter	AE	Bias	MSE	Parameter	AE	Bias	MSE
50	μ	0.0436	0.0436	0.3052	μ	0.0792	0.0792	0.2650
	σ	0.9008	-0.0992	0.1778	σ	1.1175	0.1175	83.1835
	α	0.1933	-0.0067	0.0251	α	0.6144	0.1144	42.5964
	β	0.5943	-0.1057	0.1579	β	0.4014	-0.2986	0.8603
150	μ	-0.0064	-0.0064	0.2759	μ	0.0152	0.0152	0.1170
	σ	0.8930	-0.1070	0.1148	σ	0.9899	-0.0101	0.0938
	α	0.1864	-0.0136	0.0151	α	0.5029	0.0029	0.0474
	β	0.6668	-0.0332	0.0500	β	0.6043	-0.0957	0.1170
300	μ	0.0624	0.0624	0.1436	μ	-0.0038	-0.0038	0.0616
	σ	0.8393	-0.1607	0.0897	σ	0.9916	-0.0084	0.0460
	α	0.1713	-0.0287	0.0117	α	0.5012	0.0012	0.0227
	β	0.6797	-0.0203	0.0310	β	0.6603	-0.0397	0.0356

Back to article page