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You don't need to know K$K$ exactly, just well enough to avoid overflow. So you may be able to estimate K$K$ analytically before you do any MCMC sampling.
Your approach is solid.
You don't need to know K exactly, just well enough to avoid overflow. So you may be able to estimate K analytically before you do any MCMC sampling.
Your approach is solid.
You don't need to know $K$ exactly, just well enough to avoid overflow. So you may be able to estimate $K$ analytically before you do any MCMC sampling.