Bayesian Nonparametric Inference for" Species-sampling" Problems

C Balocchi, S Favaro, Z Naulet - arXiv preprint arXiv:2203.06076, 2022 - arxiv.org
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 …

Large sample asymptotic analysis for normalized random measures with independent increments

J Zhang, Y Hu - Bayesian Analysis, 2024 - projecteuclid.org
Normalized random measures with independent increments (NRMIs) represent a large class
of Bayesian nonparametric priors and are widely used in the Bayesian nonparametric …

Optimal estimation of high-order missing masses, and the rare-type match problem

S Favaro, Z Naulet - arXiv preprint arXiv:2306.14998, 2023 - arxiv.org
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 …

Asymptotic analysis of parameter estimation for the Ewens--Pitman partition

T Koriyama, T Matsuda, F Komaki - arXiv preprint arXiv:2207.01949, 2022 - arxiv.org
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 …

Bayesian nonparametric disclosure risk assessment

S Favaro, F Panero, T Rigon - Electronic Journal of Statistics, 2021 - projecteuclid.org
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 …

Asymptotic analysis and dependent construction of Bayesian nonparameric models

J Zhang - 2023 - era.library.ualberta.ca
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

Z Naulet, J Rousseau, F Caron - Bernoulli, 2024 - projecteuclid.org
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 …

[PDF][PDF] When is subjective objective enough? Frequentist guarantees for Bayesian methods

S Franssen - sempf1992.github.io
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 …