Table 1:

True and Empirical Estimates of Kernel Distance Under Various Settings.

Setting	d = 1		d = 5		d = 10		d = 50
	True	Empirical	True	Empirical	True	Empirical	True	Empirical
μ = 0, λ = 1, σ = θ = 1	0.421	0.420	0.509	0.485	0.523	0.490	0.535	0.495
μ = 0, λ = 2, σ = θ = 1	0.748	0.750	0.810	0.798	0.807	0.652	0.800	0.806
μ = 0, λ = 3, σ = θ = 1	0.947	0.950	0.910	0.976	0.886	0.978	0.860	0.974
μ = 0, λ = 1, σ = 1, $\theta =\sqrt{2}$	0.377	0.376	0.458	0.427	0.470	0.433	0.480	0.427
μ = 0, λ = 2, σ = 1, $\theta =\sqrt{2}$	0.647	0.658	0.696	0.709	0.687	0.708	0.671	0.698
μ = 0, λ = 3, σ = 1, $\theta =\sqrt{2}$	0.837	0.862	0.790	0.886	0.756	0.881	0.717	0.870
μ = 0, λ = 1, σ = 1, $\theta =\sqrt{3}$	0.382	0.378	0.471	0.418	0.487	0.414	0.500	0.400
μ = 0, λ = 2, σ = 1, $\theta =\sqrt{3}$	0.596	0.612	0.647	0.419	0.639	0.650	0.623	0.634
μ = 0, λ = 3, σ = 1, $\theta =\sqrt{3}$	0.769	0.809	0.730	0.827	0.694	0.815	0.655	0.802