Generalized Extreme Value Distribution

Modeling

The Generalized Extreme Value (GEV) distribution is a statistical model used to characterize the distribution of extreme events, specifically the maxima or minima of a sequence of random variables. It unifies three types of extreme value distributions: Gumbel, Fréchet, and Weibull, allowing for flexibility in modeling different tail behaviors. This modeling capability is crucial for accurately assessing the probability of rare, high-impact events in financial markets. It provides a robust framework for analyzing tail risk. This distribution is indispensable for extreme value theory.