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Nested sampling.

This is the only sampler that does not warm-start from the MLE; it samples from the prior and uses the likelihood to compress towards the posterior. Two of our parameters (nH and the apec norm) have hard-coded upper bounds that span far more than four decades, so we narrow their search ranges and switch to a Jeffreys (log-uniform) prior before invoking nest.

newpar 1 0.05 0.001 1e-6 1e-6 100000 1e6
newpar 5 0.04 0.01  1e-30 1e-30 1e20 1e24
bayes on
bayes 1 JEFFREYS
bayes 5 JEFFREYS

nest live 400
parallel nest 4
nest run nest.fits

Observed: 155 s elapsed time, evidence $\log Z = -236.1 \pm 0.2$.