Table 7.

Empirical biases of the MLEs ($\widehat{\mathbf{\theta }}$) and MI estimates (θ̃) when z₁ ~ LN_s(0, 1/2) & z₂ ~ U_s(0, 1); entries in boldface are statistically significant at .05 level.

		ML			MI
pm	n	μ̂2	σ̂12	σ̂22	μ̃2	σ̃12	σ̃22
.05	30	−.008	−.041	.041	−.008	−.040	.126
	50	−.002	−.022	.020	−.001	−.019	.077
	100	−.003	−.011	.006	−.003	−.009	.033
	200	−.002	−.005	.009	−.002	−.006	.021
	500	.001	.000	.002	.001	.000	.007
.15	30	.004	−.019	.349	.004	−.016	.762
	50	−.007	−.050	.135	−.007	.049	.351
	100	−.000	−.009	.061	−.001	−.010	.172
	200	.009	.017	.061	.008	.015	.115
	500	−.001	−.004	.014	.000	−.003	.036
.25	30	−.047	−.093	1.033	−.048	−.094	2.128
	50	−.066	−.102	.550	−.073	−.116	1.223
	100	−.022	−.029	.257	−.021	−.020	.613
	200	−.010	−.016	.155	−.009	−.013	.316
	500	−.009	−.007	.055	−.009	−.008	.121
	ns	1	2	9	1	2	14