1. Universidade Federal do Rio Grande do Norte
2. Centro de Ciências Exatas e da Terra
3. DEST - Departamento de Estatística
4. CCET - DEST - Artigos publicados em periódicos

Title:	Extended generalized extreme value distribution with applications in environmental data
Authors:	Nascimento, Fernando Bourguignon, Marcelo Leão, Jeremias
Keywords:	Extreme value theory;Generalized extreme value distribution;Generalized classes of distributions;Environmental;Economic data
Issue Date:	2015
Publisher:	Journal of Mathematics and Statistics
Citation:	NASCIMENTO, F. F.; BOURGUIGNON, Marcelo; LEÃO, Jeremias. Extended generalized extreme value distribution with applications in environmental data. Hacettepe Journal of Mathematics and Statistics , v. 46, p. 1-1, 2015. Disponível em: http://www.hjms.hacettepe.edu.tr/uploads/dd48204c-d9d6-4745-ad32-38e546c0c384.pdf. Acesso em: 07 dez. 2017
Portuguese Abstract:	In probability theory and statistics, the generalized extreme value (GEV) distribution is a family of continuous probability distributions developed within extreme value theory, which has wide applicability in several areas including hydrology, engineering, science, ecology and finance. In this paper, we propose three extensions of the GEV distribution that incorporate an additional parameter. These extensions are more flexible than the GEV distribution, i.e., the additional parameter introduces skewness and to vary tail weight. In these three cases, the GEV distribution is a particular case. The parameter estimation of these new distributions is done under the Bayesian paradigm, considering vague priors for the parameters. Simulation studies show the efficiency of the proposed models. Applications to river quotas and rainfall show that the generalizations can produce more efficient results than is the standard case with GEV distribution.
URI:	https://repositorio.ufrn.br/handle/123456789/49657
ISSN:	1549-3644
Appears in Collections:	CCET - DEST - Artigos publicados em periódicos

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