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We discuss the general use of the likelihood ratio technique for source identification, as applied to, for example, IRAS galaxies and radio sources, and provide an analytic treatment which avoids the approximations given in previous discussions. In particular, a precise formula is derived for the probability that any candidate is the correct identification; this can be significantly different from published results and also remains valid in the case of multiple candidates.
Sutherland et al. (Tue,) studied this question.