Table 2.

Simulation study for variance estimation. SD, Monte Carlo standard deviation; Mean SE, Monte Carlo mean of standard error estimates; CP, coverage probability of 95% confidence intervals. Under C_3,a, θ₀ = (0.333, 0.333)^T for both maximum entropy weights and maximum variance weights; under C_3,a, C_3,b(0.7), θ₀ = (0.277,0.446)^T and (0.272, 0.455)^T for maximum entropy weights and maximum variance weights, respectively.

	max entopy method		max variance method
	C3,a	C3,c(0.7)	C3,a	C3,c(0.7)
w1
% bias	0.020	−0.151	−0.002	−0.224
SD	0.023	0.055	0.035	0.079
Mean SE	0.023	0.054	0.034	0.077
CP	0.942	0.946	0.934	0.953
w2
% bias	0.008	0.207	0.031	0.376
SD	0.023	0.010	0.035	0.012
Mean SE	0.023	0.011	0.034	0.012
CP	0.942	0.940	0.932	0.968
w3
% bias	−0.028	−0.068	−0.029	−0.159
SD	0.023	0.055	0.035	0.079
Mean SE	0.023	0.054	0.034	0.077
CP	0.940	0.944	0.934	0.952