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.
Nascimento, F., Bourguignon, M., & Leão, J. (2016). Extended generalized extreme value distribution with applications in environmental data. Hacettepe Journal of Mathematics and Statistics, 45(6), 1847-1864.
AMA
Nascimento F, Bourguignon M, Leão J. Extended generalized extreme value distribution with applications in environmental data. Hacettepe Journal of Mathematics and Statistics. December 2016;45(6):1847-1864.
Chicago
Nascimento, Fernando, Marcelo Bourguignon, and Jeremias Leão. “Extended Generalized Extreme Value Distribution With Applications in Environmental Data”. Hacettepe Journal of Mathematics and Statistics 45, no. 6 (December 2016): 1847-64.
EndNote
Nascimento F, Bourguignon M, Leão J (December 1, 2016) Extended generalized extreme value distribution with applications in environmental data. Hacettepe Journal of Mathematics and Statistics 45 6 1847–1864.
IEEE
F. Nascimento, M. Bourguignon, and J. Leão, “Extended generalized extreme value distribution with applications in environmental data”, Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 6, pp. 1847–1864, 2016.
ISNAD
Nascimento, Fernando et al. “Extended Generalized Extreme Value Distribution With Applications in Environmental Data”. Hacettepe Journal of Mathematics and Statistics 45/6 (December 2016), 1847-1864.
JAMA
Nascimento F, Bourguignon M, Leão J. Extended generalized extreme value distribution with applications in environmental data. Hacettepe Journal of Mathematics and Statistics. 2016;45:1847–1864.
MLA
Nascimento, Fernando et al. “Extended Generalized Extreme Value Distribution With Applications in Environmental Data”. Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 6, 2016, pp. 1847-64.
Vancouver
Nascimento F, Bourguignon M, Leão J. Extended generalized extreme value distribution with applications in environmental data. Hacettepe Journal of Mathematics and Statistics. 2016;45(6):1847-64.