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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 …
application, and scientific discovery. The formula not only contributes to the foundations of …
Bayesian mixture models (in) consistency for the number of clusters
Bayesian nonparametric mixture models are common for modeling complex data. While
these models are well‐suited for density estimation, recent results proved posterior …
these models are well‐suited for density estimation, recent results proved posterior …
Rediscovery of Good–Turing estimators via Bayesian nonparametrics
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 …
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
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 …
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
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 …
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 …
prior probability distribution on partitions. Most approaches assume exchangeability, leading …
Uncertainty quantification for Bayesian nonparametric estimators of rare species variety
Species sampling problems have regained popularity in recent years due to their frequent
appearance in challenging applications arising from ecology, genetics, linguistic, etc …
appearance in challenging applications arising from ecology, genetics, linguistic, etc …