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The evaluation of a match between the DNA profile of a stain found on a crimescene and that of a suspect (previously identified) involves the use of theunknown parameter $p=(p_1, p_2, ...)$, (the ordered vector which represents theproportions of the different DNA profiles in the population of potentialdonors) and the names of the different DNA types. We propose a Bayesian nonparametric method which considers $P$ as a random variable distributedaccording to the two-parameter Poisson Dirichlet distribution, and discardinformation about names of DNA types. The ultimate goal of this model is toevaluate DNA matches in the rare type case, that is the situation in which thesuspect's profile, matching the crime stain profile, is not one of those in thedatabase of reference.

Non parametric Bayesian approach to LR assessment in case of rare haplotype match