A modeler's guide to extreme value software
arXiv:2205.07714 · doi:10.1007/s10687-023-00475-9
Abstract
This review paper surveys recent development in software implementations for extreme value analyses since the publication of Stephenson and Gilleland (2006) and Gilleland et al. (2013), here with a focus on numerical challenges. We provide a comparative review by topic and highlight differences in existing routines, along with listing areas where software development is lacking. The online supplement contains two vignettes providing a comparison of implementations of frequentist and Bayesian estimation of univariate extreme value models.
arXiv comment35 pages, 2 figures
References in corpus (23)
- Practical Bayesian model evaluation using leave-one-out cross-validation and WAIC
- Smoothing parameter and model selection for general smooth models
- Statistical Modeling of Spatial Extremes
- The Extreme Value Machine
- The extremogram: A correlogram for extreme events
- A hierarchical max-stable spatial model for extreme precipitation
- Extended Generalised Pareto Models for Tail Estimation
- Efficient inference and simulation for elliptical Pareto processes
- The generalized Pareto process; with a view towards application and simulation
- Automated Threshold Selection for Extreme Value Analysis via Goodness-of-Fit Tests with Application to Batched Return Level Mapping
- Cross-validatory extreme value threshold selection and uncertainty with application to ocean storm severity
- Multivariate peaks over thresholds models
- Model misspecification in peaks over threshold analysis
- Maximum empirical likelihood estimation of the spectral measure of an extreme-value distribution
- Bayesian inference for the Brown-Resnick process, with an application to extreme low temperatures
- An efficient semiparametric maxima estimator of the extremal index
- A new representation for multivariate tail probabilities
- Posterior propriety in Bayesian extreme value analyses using reference priors
- Statistics of extremes by oracle estimation
- High-dimensional modeling of spatial and spatio-temporal conditional extremes using INLA and Gaussian Markov random fields
- Extremal attractors of Liouville copulas
- Is there a cap on longevity? A statistical review
- Discussion of "Statistical Modeling of Spatial Extremes" by A. C. Davison, S. A. Padoan and M. Ribatet