Under the assumption of a two parameter Poisson-Dirichlet prior, we show that Bayesian nonparametric estimators of discovery probabilities are asymptoti- cally equivalent, for a large sample size, to suitably smoothed Good–Turing esti- mators. A numerical illustration is presented to compare the performance between Bayesian nonparametric estimators with corresponding smoothed Good–Turing es- timators.
On a class of smoothed Good–Turing estimators
FAVARO, STEFANO;NIPOTI, BERNARDO;
2015-01-01
Abstract
Under the assumption of a two parameter Poisson-Dirichlet prior, we show that Bayesian nonparametric estimators of discovery probabilities are asymptoti- cally equivalent, for a large sample size, to suitably smoothed Good–Turing esti- mators. A numerical illustration is presented to compare the performance between Bayesian nonparametric estimators with corresponding smoothed Good–Turing es- timators.File in questo prodotto:
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