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:
| File | Dimensione | Formato | |
|---|---|---|---|
|
discovery.pdf
Accesso aperto
Tipo di file:
POSTPRINT (VERSIONE FINALE DELL’AUTORE)
Dimensione
121.09 kB
Formato
Adobe PDF
|
121.09 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
