Extreme value theory provides a robust statistical framework to analyse rare and potentially catastrophic events by quantifying the tail behaviour of probability distributions. Central to this ...

Extreme Value Theory (EVT) offers a rigorous framework for the statistical analysis of rare, high-impact events by focusing on the tail behaviour of distributions. This theory underpins methodologies ...

Consider a random sample from a bivariate distribution function F in the max-domain of attraction of an extreme-value distribution function G. This G is characterized by two extreme-value indices and ...

We derive a collection of reference prior distributions for a Bayesian analysis under the three-parameter generalized extreme value (GEV) distribution. These priors are based on an established formal ...