The ubiquitous Ewens sampling formula

H Crane - 2016 - projecteuclid.org
Ewens's sampling formula exemplifies the harmony of mathematical theory, statistical
application, and scientific discovery. The formula not only contributes to the foundations of …

Bayesian mixture models (in) consistency for the number of clusters

L Alamichel, D Bystrova, J Arbel… - … Journal of Statistics, 2024 - Wiley Online Library
Bayesian nonparametric mixture models are common for modeling complex data. While
these models are well‐suited for density estimation, recent results proved posterior …

Rediscovery of Good–Turing estimators via Bayesian nonparametrics

S Favaro, B Nipoti, YW Teh - Biometrics, 2016 - Wiley Online Library
The problem of estimating discovery probabilities originated in the context of statistical
ecology, and in recent years it has become popular due to its frequent appearance in …

ORDERED AND SIZE-BIASED FREQUENCIES IN GEM AND GIBBS'MODELS FOR SPECIES SAMPLING

J Pitman, Y Yakubovich - The Annals of Applied Probability, 2018 - JSTOR
We describe the distribution of frequencies ordered by sample values in a random sample of
size n from the two parameter GEM (α, θ) random discrete distribution on the positive …

Discussion of “On simulation and properties of the stable law” by L. Devroye and L. James

S Favaro, B Nipoti - Statistical Methods & Applications, 2014 - Springer
We contribute to the discussion of the paper by Devroye and James, by reviewing some of
the most meaningful results that relate the unilateral stable distribution with the asymptotic …

[PDF][PDF] Prior-driven cluster allocation in bayesian mixture models

S Paganin - 2018 - tesidottorato.depositolegale.it
There is a very rich literature proposing Bayesian approaches for clustering starting with a
prior probability distribution on partitions. Most approaches assume exchangeability, leading …

Uncertainty quantification for Bayesian nonparametric estimators of rare species variety

S Favaro, B Nipoti - Proceedings of the 47th Scientific Meeting of the …, 2014 - iris.unito.it
Species sampling problems have regained popularity in recent years due to their frequent
appearance in challenging applications arising from ecology, genetics, linguistic, etc …