Posterior analysis of \(n\) in the binomial \((n,p)\) problem with both parameters unknown -- with applications to quantitative nanoscopy

DOI10.1214/21-AOS2096zbMath1486.62088arXiv1809.02443MaRDI QIDQ2073722

Timo Aspelmeier, Axel Munk, Thomas Staudt, Laura Fee Schneider, Andrea Krajina, Johannes Schmidt-Hieber

Publication date: 7 February 2022

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.02443

zbMATH Keywords

Bernstein-von Mises theorembinomial distributionBayesian estimationposterior contractionbeta-binomial likelihoodquantitative cell imaging

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Applications of statistics to biology and medical sciences; meta analysis (62P10) Nonparametric estimation (62G05) Bayesian inference (62F15) Applications of statistics to physics (62P35)

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