Statistics of Extremes for the Insurance Industry
Risk Management
2025-12-01 v1 Methodology
Abstract
We provide a survey of how techniques developed for the modelling of extremes naturally matter in insurance, and how they need to and can be adapted for the insurance applications. Topics covered include truncation, tempering, censoring and regression techniques. The discussed techniques are illustrated on concrete data sets.
Cite
@article{arxiv.2511.22272,
title = {Statistics of Extremes for the Insurance Industry},
author = {Hansjoerg Albrecher and Jan Beirlant},
journal= {arXiv preprint arXiv:2511.22272},
year = {2025}
}