The log marginal data density in mode_computer=6

Dear all:

I am now estimating an model using mode_compute=6, and the results in oo_.Marginal Density is
LaplaceApproximation= 588
ModifiedHarmonicMean=592

the question is which one is the log marginal data density, and could I choose the mode with higher results if I estimate alternative mode specification with the results

			LaplaceApproximation= 588 
			ModifiedHarmonicMean=592

Thanks

Both the Laplace approximation and the modified harmonic mean estimator are ways to compute the marginal data density. As computing the marginal data density involves solving a complicated integral, these two methods for tackling the issue have been proposed. In theory, they should yield identical results as they measure the same thing. In practice, both involve approximations and may yield differing results. It is hard to tell which one to prefer. Footnote 11 of Smets/Wouters (2007) states: