Table 1.

Ratios of MSE. Estimates of posterior quantiles from a Gibbs sampler versus those from the multiresolution method for the double-well potential model over the same amount of computer time.

γ MSE Ratio
	$\widehat{R}\pm \widehat{\text{sd}}(\widehat{R})$
Q0.05	2.4 ± 0.65
Q0.25	2.3 ± 0.64
Q0.5	2.2 ± 0.59
Q0.75	2.1 ± 0.54
Q0.95	1.8 ± 0.45

c MSE Ratio
	$\widehat{R}\pm \widehat{\text{sd}}(\widehat{R})$
Q0.05	1.6 ± 0.34
Q0.25	2.2 ± 0.45
Q0.5	3.1 ± 0.66
Q0.75	3.0 ± 0.59
Q0.95	2.8 ± 0.59