Given an observed sample from a population of individuals belonging to species," species-
sampling" problems (SSPs) call for estimating some features of the unknown species …

Normalized random measures with independent increments (NRMIs) represent a large class
of Bayesian nonparametric priors and are widely used in the Bayesian nonparametric …

Consider a random sample $(X_ {1},\ldots, X_ {n}) $ from an unknown discrete distribution $
P=\sum_ {j\geq1} p_ {j}\delta_ {s_ {j}} $ on a countable alphabet $\mathbb {S} $, and let $(Y …

We derive the exact asymptotic distribution of the maximum likelihood estimator $(\hat
{\alpha} _n,\hat {\theta} _n) $ of $(\alpha,\theta) $ for the Ewens--Pitman partition in the …

Any decision about the release of microdata for public use is supported by the estimation of
measures of disclosure risk, the most popular being the number τ 1 of sample uniques that …

Bayesian nonparametric models have gained increasing attention due to their flexibility in
modelling natural and social phenomena and have been widely applied in machine …

Asymptotic analysis of statistical estimators related to MultiGraphex processes under
misspecification Page 1 Bernoulli 30(4), 2024, 2644–2675 https://doi.org/10.3150/23-BEJ1689 …

To understand the thesis, we need to introduce a few basic notions from statistics. We start
with a non-rigorous introduction aimed at a general audience in this section. We first …