A Trivariate Extreme Value Distribution Applied to Flood Frequency Analysis

A trivariate extreme value distribution has been derived from the logistic model for the multivariate extreme value distribution. The construction of its corresponding probability distribution and density function is described. In order to obtain the parameters of such a trivariate distribution, a g...

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Detalles Bibliográficos
Autores principales: Escalante-Sandoval, Carlos A., Raynal-Villasenor, Jose A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: [Gaithersburg, MD] : U.S. Dept. of Commerce, National Institute of Standards and Technology 1994
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8345300/
https://www.ncbi.nlm.nih.gov/pubmed/37405286
http://dx.doi.org/10.6028/jres.099.035
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author Escalante-Sandoval, Carlos A.
Raynal-Villasenor, Jose A.
author_facet Escalante-Sandoval, Carlos A.
Raynal-Villasenor, Jose A.
author_sort Escalante-Sandoval, Carlos A.
collection PubMed
description A trivariate extreme value distribution has been derived from the logistic model for the multivariate extreme value distribution. The construction of its corresponding probability distribution and density function is described. In order to obtain the parameters of such a trivariate distribution, a generalized maximum likelihood estimation procedure is described to allow for the cases of samples with different record lengths. Furthermore the reliability of the estimated parameters of the irivariate extreme value distribution is measured through the use of relative information ratios. A region in Northern Mexico with six gauging stations has been selected to apply the trivariate model. Results produced by the proposed model have been compared with those obtained by general extreme value (GEV) distribution functions.
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spelling pubmed-83453002023-07-03 A Trivariate Extreme Value Distribution Applied to Flood Frequency Analysis Escalante-Sandoval, Carlos A. Raynal-Villasenor, Jose A. J Res Natl Inst Stand Technol Article A trivariate extreme value distribution has been derived from the logistic model for the multivariate extreme value distribution. The construction of its corresponding probability distribution and density function is described. In order to obtain the parameters of such a trivariate distribution, a generalized maximum likelihood estimation procedure is described to allow for the cases of samples with different record lengths. Furthermore the reliability of the estimated parameters of the irivariate extreme value distribution is measured through the use of relative information ratios. A region in Northern Mexico with six gauging stations has been selected to apply the trivariate model. Results produced by the proposed model have been compared with those obtained by general extreme value (GEV) distribution functions. [Gaithersburg, MD] : U.S. Dept. of Commerce, National Institute of Standards and Technology 1994 /pmc/articles/PMC8345300/ /pubmed/37405286 http://dx.doi.org/10.6028/jres.099.035 Text en https://creativecommons.org/publicdomain/zero/1.0/The Journal of Research of the National Institute of Standards and Technology is a publication of the U.S. Government. The papers are in the public domain and are not subject to copyright in the United States. Articles from J Res may contain photographs or illustrations copyrighted by other commercial organizations or individuals that may not be used without obtaining prior approval from the holder of the copyright.
spellingShingle Article
Escalante-Sandoval, Carlos A.
Raynal-Villasenor, Jose A.
A Trivariate Extreme Value Distribution Applied to Flood Frequency Analysis
title A Trivariate Extreme Value Distribution Applied to Flood Frequency Analysis
title_full A Trivariate Extreme Value Distribution Applied to Flood Frequency Analysis
title_fullStr A Trivariate Extreme Value Distribution Applied to Flood Frequency Analysis
title_full_unstemmed A Trivariate Extreme Value Distribution Applied to Flood Frequency Analysis
title_short A Trivariate Extreme Value Distribution Applied to Flood Frequency Analysis
title_sort trivariate extreme value distribution applied to flood frequency analysis
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8345300/
https://www.ncbi.nlm.nih.gov/pubmed/37405286
http://dx.doi.org/10.6028/jres.099.035
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