Equal-dimension reversible-jump acceptance probability (source code)

= Equal-dimension reversible-jump acceptance probability

For unnormalized model posterior densities $h_j$, model-selection probabilities $s_{jk}$ and parameter-proposal densities $q_{jk}$, accept a proposal $(j,\theta)\to(k,\theta')$ with the minimum of one and $h_k(\theta')s_{kj}(\theta')q_{kj}(\theta\mid\theta')/[h_j(\theta)s_{jk}(\theta)q_{jk}(\theta'\mid\theta)]$. A deterministic matching-map formulation instead includes its explicit <Jacobian determinant>; it must not be counted again when already absorbed into a direct proposal density.