statistical counterpart association works

I got the code running, and I now have a justifiable probability, for each proposed match of a GALEX source to an SDSS source, that that match is true. The joint distribution of GALEX and SDSS properties for the true matches is highly informative, and the joint distribution of false matches is just the cross of two independent distributions, one for GALEX and one for SDSS. The nice thing is that I can plot these distributions exactly, even though each source only gets a probability of being in one category or the other. Now to write up the method!

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