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Extreme value analysis has emerged as one of the most important disciplines for the applied sciences when dealing with reduced datasets and when the main idea is to extrapolate the observations over a given time. By using a threshold model with an asymptotic characterization, it is posible to work with the Generalized Pareto Distribution (GPD) (Coles, 2001) and use it to model the stochastic behavior of a process at an unusual level, either a maximum or minimum. For example, consider a large dataset of wind velocity in Florida, USA, during a certain period of time. It is possible to model this process and to quantify extreme events’ probability, for example hurricanes, which are maximum observations of wind velocity, in a time of interest using the return value tool.

journal of open source software

thresholdmodeling: A Python package for modeling excesses over a threshold using the Peak-Over-Threshold Method and the Generalized Pareto Distribution