Population growth and geometrically-thinned extreme value theory

Brilhante, Maria de Fátima; Gomes, Maria Ivette; Mendonça, Sandra; Pestana, Dinis; Pestana, Pedro Duarte

http://hdl.handle.net/10400.2/20769

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Authors

Brilhante, Maria de Fátima

Gomes, Maria Ivette

Mendonça, Sandra

Pestana, Dinis

Pestana, Pedro Duarte

Abstract(s)

Starting from the simple Beta(2,2) model, connected to the Verhulst logistic parabola, several extensions are discussed, and connections to extremal models are revealed. Aside from the classical general extreme value model, extreme value models in randomly stopped extremes schemes are also discussed. Logistic and Gompertz growth equations are the usual choice to model sustainable growth. Therefore, observing that the logistic distribution is (geo)max-stable and the Gompertz function is proportional to the Gumbel max-stable distribution, other growth models, related to classical and to geometrically thinned extreme value theory are investigated.