Two new estimators of the evidential value of a rare haplotype match for a Y-STR dna profile are proposed. One is based on the Good-Turing coverage estimator, the other based on Orlitsky et al. MLE of the spectrum of a probability distribution (vector of probabilities ordered from large to small) based on the observed spectrum (vector of observed frequencies ordered from large to small). These two are compared to a model-based approach "discrete Laplace mixture model". "Less is more": it can pay off to discard some of the information (the actual haplotypes) ... the true likelihood ratio is lower, but the precision with which it can be estimated is much, much better.