A New Flexible Logarithmic-X Family of Distributions with Applications to Biological Systems

Table 2

The results of conducting a simulation using the NFLog-Wei distribution with sets III and IV.

	Est.	Set III: , , and			Set IV: , , and
		MLE	MSE	Bias	MLE	MSE	Bias
25		2.381875	2.794807	−0.118124	3.410283	4.557224	−0.489717
		4.296184	0.720145	0.396183	3.035897	1.458385	0.6358970
		4.518220	0.628748	−0.281780	3.427576	0.913335	−0.172423
50		2.319224	2.574264	−0.180776	3.413811	4.507704	−0.486189
		4.275190	0.585435	0.375189	2.935012	1.212232	0.535011
		4.516319	0.584158	−0.283680	3.348358	0.754218	−0.251642
75		2.343670	2.636672	−0.156330	3.337658	4.571121	−0.562342
		4.249329	0.527632	0.3493285	2.898243	1.057149	0.498242
		4.486865	0.607032	−0.313134	3.294626	0.669432	−0.305374
100		2.337194	2.565672	−0.162806	3.206369	4.830113	−0.693630
		4.208815	0.470883	0.308815	2.913587	1.014642	0.513587
		4.486939	0.573087	−0.313060	3.261691	0.674156	−0.338309
200		2.345233	2.217673	−0.154767	3.317303	4.219805	−0.582696
		4.155143	0.343410	0.255143	2.768109	0.635353	0.368108
		4.498184	0.533703	−0.301816	3.319766	0.477188	−0.280234
300		2.256714	2.014241	−0.243285	3.294189	3.997942	−0.605811
		4.173869	0.327524	0.273868	2.718230	0.445176	0.318229
		4.490608	0.520666	−0.309391	3.331029	0.382241	−0.268971
400		2.296481	1.781173	−0.203519	3.377208	3.613586	−0.522792
		4.124638	0.263154	0.224638	2.656047	0.327071	0.256046
		4.531144	0.433862	−0.268856	3.369713	0.300703	−0.230287
500		2.279038	1.641563	−0.220962	3.427285	3.272158	−0.472715
		4.109448	0.235986	0.209448	2.610146	0.231249	0.210146
		4.541954	0.404543	−0.258045	3.406040	0.236117	−0.193959
600		2.290175	1.499904	−0.209825	3.427226	3.213429	−0.472773
		4.081241	0.204391	0.181240	2.600575	0.209351	0.200574
		4.554415	0.362888	−0.245585	3.412186	0.215645	−0.187813
700		2.326864	1.380761	−0.173135	3.430730	3.088489	−0.469269
		4.066115	0.175150	0.166115	2.584588	0.177430	0.184588
		4.590552	0.327957	−0.209447	3.421499	0.197229	−0.178501
800		2.323243	1.338615	−0.176757	3.447615	3.004778	−0.452385
		4.058958	0.160689	0.158958	2.578249	0.163990	0.178248
		4.593206	0.306266	−0.206794	3.427515	0.180315	−0.172485
900		2.332042	1.424302	−0.167957	3.597858	2.660379	−0.302141
		4.059840	0.169700	0.159839	2.541229	0.131273	0.141229
		4.583009	0.321603	−0.216991	3.462147	0.151573	−0.137853
1000		2.296988	0.802130	−0.203012	3.415560	1.019690	−0.444440
		4.054148	0.095211	0.154147	2.512916	0.084999	0.092915
		4.519912	0.088924	−0.210088	3.490555	0.089363	−0.159445