TY  - BOOK
AU  - Kunick, Jonathan
PY  - 2024
DA  - 2024//
TI  - Bernstein-von Mises Theorem for a group testing problem
PB  - Universität Rostock
CY  - Rostock
AB  - We propose a Bayesian model to investigate a group testing regression model of equally- sized subgroups. The group testing design was developed by Dorfman (1943) to reduce costs and increase efficiency when detecting illnesses in populations and can be used to detect contamination in samples, when prevalence is low enough. We develop a Laplace-Bernstein- von Mises (BvM) Theorem in the style of Le Cam (1986), where distributional convergence to a Gaussian holds in total variation distance almost surely, and we list sufficient conditions. We also deduce additional conditions to derive a strong BvM for the group testing posterior distribution.<eng>
UR  - https://purl.uni-rostock.de/rosdok/id00005404
UR  - https://nbn-resolving.org/urn:nbn:de:gbv:28-rosdok_id00005404-2
UR  - https://d-nb.info/1397495227/34
UR  - https://doi.org/10.18453/rosdok_id00005404
DO  - 10.18453/rosdok_id00005404
LA  - English
N1  - vorgelegt von Jonathan Kunick
ID  - 1969479183
ER  -