article
Extended generalized extreme value distribution with applications in environmental data
Registro en:
1549-3644
Autor
Nascimento, Fernando
Bourguignon, Marcelo
Leão, Jeremias
Resumen
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.