Extremes.jl: Extreme Value Analysis in Julia

The Extremes.jl package provides exhaustive, high-performance functions by leveraging the multiple-dispatch capabilities in Julia for the analysis of extreme values. In particular, the package implements statistical models for both block maxima and peaks-over-threshold methods, along with several m...

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Main Authors: Jonathan Jalbert, Marilou Farmer, Gabriel Gobeil, Philippe Roy
Format: Article
Language:English
Published: Foundation for Open Access Statistics 2024-06-01
Series:Journal of Statistical Software
Online Access:https://www.jstatsoft.org/index.php/jss/article/view/4786
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author Jonathan Jalbert
Marilou Farmer
Gabriel Gobeil
Philippe Roy
author_facet Jonathan Jalbert
Marilou Farmer
Gabriel Gobeil
Philippe Roy
author_sort Jonathan Jalbert
collection DOAJ
description The Extremes.jl package provides exhaustive, high-performance functions by leveraging the multiple-dispatch capabilities in Julia for the analysis of extreme values. In particular, the package implements statistical models for both block maxima and peaks-over-threshold methods, along with several methods for the generalized extreme value and generalized Pareto distributions used in extreme value theory. Additionally, the package offers various parameter estimation methods, such as probability-weighted moments, maximum likelihood, and Bayesian estimation. It also includes tools for handling dependence in excesses over a threshold and methods for managing nonstationary models. Inference for extreme quantiles is available for both stationary and nonstationary models, along with diagnostic figures to assess the goodness of fit of the model to the data.
format Article
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institution Kabale University
issn 1548-7660
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publishDate 2024-06-01
publisher Foundation for Open Access Statistics
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series Journal of Statistical Software
spelling doaj-art-c550efaca2ab46af9b71138ce0672c422024-12-29T00:12:43ZengFoundation for Open Access StatisticsJournal of Statistical Software1548-76602024-06-01109110.18637/jss.v109.i06Extremes.jl: Extreme Value Analysis in JuliaJonathan Jalbert0Marilou Farmer1Gabriel Gobeil2Philippe Roy3Polytechnique MontréalPolytechnique MontréalPolytechnique MontréalInstitut de Recherche d'Hydro-Québec The Extremes.jl package provides exhaustive, high-performance functions by leveraging the multiple-dispatch capabilities in Julia for the analysis of extreme values. In particular, the package implements statistical models for both block maxima and peaks-over-threshold methods, along with several methods for the generalized extreme value and generalized Pareto distributions used in extreme value theory. Additionally, the package offers various parameter estimation methods, such as probability-weighted moments, maximum likelihood, and Bayesian estimation. It also includes tools for handling dependence in excesses over a threshold and methods for managing nonstationary models. Inference for extreme quantiles is available for both stationary and nonstationary models, along with diagnostic figures to assess the goodness of fit of the model to the data. https://www.jstatsoft.org/index.php/jss/article/view/4786
spellingShingle Jonathan Jalbert
Marilou Farmer
Gabriel Gobeil
Philippe Roy
Extremes.jl: Extreme Value Analysis in Julia
Journal of Statistical Software
title Extremes.jl: Extreme Value Analysis in Julia
title_full Extremes.jl: Extreme Value Analysis in Julia
title_fullStr Extremes.jl: Extreme Value Analysis in Julia
title_full_unstemmed Extremes.jl: Extreme Value Analysis in Julia
title_short Extremes.jl: Extreme Value Analysis in Julia
title_sort extremes jl extreme value analysis in julia
url https://www.jstatsoft.org/index.php/jss/article/view/4786
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AT mariloufarmer extremesjlextremevalueanalysisinjulia
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AT philipperoy extremesjlextremevalueanalysisinjulia