On a class of smoothed Good–Turing estimators

Stefano Favaro, Bnipoti, B.Nipoti, Teh, Y.W. · Institutional Research Information System University of Turin (University of Turin) · 2015

Under the assumption of a two parameter Poisson-Dirichlet prior, we show that Bayesian nonparametric estimators of discovery probabilities are asymptotically equivalent, for a large sample size, to suitably smoothed Good–Turing estimators. A numerical illustration is presented to compare the performance between Bayesian nonparametric estimators with corresponding smoothed Good–Turing estimators.

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