Bayesian nonparametric estimators derived from conditional Gibbs structures

被引：38

作者：

Lijoi, Antonio ^{[1
]}

Prunster, Igor ^{[2
]}

Walker, Stephen G. ^{[3
]}

机构：

[1] Univ Pavia, Dipartimento Econ Polit, I-27100 Pavia, Italy

[2] Univ Turin, Dipartimento Stat & Matemat Applicata, I-10122 Turin, Italy

[3] Univ Kent, Inst Math Stat & Actuaral Sci, Canterbury CT2 7NZ, Kent, England

来源：

ANNALS OF APPLIED PROBABILITY | 2008年 / 18卷 / 04期

关键词：

Bayesian nonparametrics; Dirichlet process; exchangeable random partitions; generalized factorial coefficients; generalized gamma process; population genetics; species sampling models; two parameter Poisson-Dirichlet process;

D O I：

10.1214/07-AAP495

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We consider discrete nonparametric priors which induce Gibbs-type exchangeable random partitions and investigate their posterior behavior in detail. In particular, we deduce conditi onal distributions and the corresponding Bayesian nonparametric estimators, which can be readily exploited for predicting various features of additional samples. The results provide useful tools for genomic applications where prediction of future outcomes is required.

引用

页码：1519 / 1547

页数：29

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