  Favaro, Lijoi, and Pruenster (2012, Biometrics, 68, 1188--1196) derive a
novel Bayesian nonparametric estimator of the probability of detecting at the
$(n+m+1)$th observation a species already observed with any given frequency in
an enlarged sample of size $n+m$, conditionally on a basic sample of size $n$.
Unfortunately the general result under Gibbs priors (Theorem 2), and
consequently the explicit result under $(\alpha, \theta)$ Poisson-Dirichlet
priors (Proposition 3), appear to be wrong. Here we provide the correct
formulas for both the results, obtained by means of a new technique devised in
Cerquetti (2013). We verify the correctness of our derivation by an explicit
counterproof for the two-parameter Poisson-Dirichlet case.
