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We consider discrete nonparametric priors which induce Gibbs-type exchangeable random partitions and investigate their posterior behavior in detail. In particular, we deduce conditional distributions and the corresponding Bayesian…

Probability · Mathematics 2008-08-22 Antonio Lijoi , Igor Prünster , Stephen G. Walker

Discussion of "Frequentist coverage of adaptive nonparametric Bayesian credible sets" by Szab\'o, van der Vaart and van Zanten [arXiv:1310.4489v5].

Statistics Theory · Mathematics 2015-09-08 Subhashis Ghosal

Discussion of "Frequentist coverage of adaptive nonparametric Bayesian credible sets" by Szab\'o, van der Vaart and van Zanten [arXiv:1310.4489v5].

Statistics Theory · Mathematics 2015-09-08 Mark G. Low , Zongming Ma

Discussion of "Frequentist coverage of adaptive nonparametric Bayesian credible sets" by Szab\'o, van der Vaart and van Zanten [arXiv:1310.4489v5].

Statistics Theory · Mathematics 2015-09-08 Judith Rousseau

Discussion of "Frequentist coverage of adaptive nonparametric Bayesian credible sets" by Szab\'o, van der Vaart and van Zanten [arXiv:1310.4489v5].

Statistics Theory · Mathematics 2015-09-08 Ismaël Castillo

Discussion of "Frequentist coverage of adaptive nonparametric Bayesian credible sets" by Szab\'o, van der Vaart and van Zanten [arXiv:1310.4489v5].

Statistics Theory · Mathematics 2015-09-08 Richard Nickl

Rejoinder of "Frequentist coverage of adaptive nonparametric Bayesian credible sets" by Szab\'o, van der Vaart and van Zanten [arXiv:1310.4489v5].

Statistics Theory · Mathematics 2016-08-07 Botond Szabó , A. W. van der Vaart , J. H. van Zanten

Comment on ``Lancaster Probabilities and Gibbs Sampling'' [arXiv:0808.3852]

Methodology · Statistics 2008-08-29 Gérard Letac

Gibbs-type random probability measures and the exchangeable random partitions they induce represent the subject of a rich and active literature. They provide a probabilistic framework for a wide range of theoretical and applied problems…

Statistics Theory · Mathematics 2015-04-06 Sergio Bacallado , Stefano Favaro , Lorenzo Trippa

Discussion of "Likelihood Inference for Models with Unobservables: Another View" by Youngjo Lee and John A. Nelder [arXiv:1010.0303]

Methodology · Statistics 2010-10-06 Geert Molenberghs , Michael G. Kenward , Geert Verbeke

Discussion of "Likelihood Inference for Models with Unobservables: Another View" by Youngjo Lee and John A. Nelder [arXiv:1010.0303]

Methodology · Statistics 2010-10-06 Thomas A. Louis

We derive explicit Bayesian nonparametric analysis for a species sampling model with finitely many types of Gibbs form of type $\alpha= -1$ recently introduced in Gnedin (2009). Our results complement existing analysis under Gibbs priors of…

Probability · Mathematics 2010-01-05 Annalisa Cerquetti

Comment on ``Gibbs Sampling, Exponential Families and Orthogonal Polynomials'' [arXiv:0808.3852]

Methodology · Statistics 2008-08-29 Patrizia Berti , Guido Consonni , Luca Pratelli , Pietro Rigo

Comment on ``Gibbs Sampling, Exponential Families, and Orthogonal Polynomials'' [arXiv:0808.3852]

Methodology · Statistics 2008-08-29 Galin L. Jones , Alicia A. Johnson

Rejoinder of "Instrumental Variables: An Econometrician's Perspective" by Guido W. Imbens [arXiv:1410.0163].

Methodology · Statistics 2014-10-03 Guido Imbens

Gibbs-type random probability measures and the exchangeable random partitions they induce represent an important framework both from a theoretical and applied point of view. In the present paper, motivated by species sampling problems, we…

Probability · Mathematics 2013-09-06 Stefano Favaro , Antonio Lijoi , Igor Prünster

We give yet another example of the usefulness of working with marginals of multivariate Gibbs distributions (Cerquetti, 2013) in deriving Bayesian nonparametric estimators under Gibbs priors in species sampling problems. Here in particular…

Methodology · Statistics 2013-12-23 Annalisa Cerquetti

A Bayesian nonparametric estimator to entropy is proposed. The derivation of the new estimator relies on using the Dirichlet process and adapting the well-known frequentist estimators of Vasicek (1976) and Ebrahimi, Pflughoeft and Soofi…

Statistics Theory · Mathematics 2020-01-03 Luai Al-Labadi , Viskakh Patel , Kasra Vakiloroayaei , Clement Wan

Rejoinder to "Likelihood Inference for Models with Unobservables: Another View" by Youngjo Lee and John A. Nelder [arXiv:1010.0303]

Methodology · Statistics 2010-10-06 Youngjo Lee , John A. Nelder

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…

Statistics Theory · Mathematics 2013-04-04 Annalisa Cerquetti
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