Population growth and geometrically thinned extreme value theory

M. Fátima Brilhante; M. Ivette Gomes; Sandra Mendonça; Dinis Pestana; Pedro Pestana

doi:10.1007/978-3-031-68949-9_2

Population growth and geometrically thinned extreme value theory

M. Fátima Brilhante
, M. Ivette Gomes
, Sandra Mendonça
, Dinis Pestana^*
, Pedro Pestana

^*Autor correspondente para este trabalho

Resultado de pesquisa › revisão de pares

Resumo

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.

Idioma original	English
Título da publicação do anfitrião	New frontiers in statistics and data science
Subtítulo da publicação do anfitrião	SPE2023
Editores	Lígia Henriques-Rodrigues, Raquel Menezes, Luís Meira Machado, Susana Faria, Miguel de Carvalho
Editora	Springer
Páginas	13-26
Número de páginas	14
ISBN (eletrónico)	9783031689499
ISBN (impresso)	9783031689482, 9783031726071
DOIs	https://doi.org/10.1007/978-3-031-68949-9_2
Estado da publicação	Publicado - jan. 2025
Evento	26th Congress of the Portuguese Statistical Society, SPE 2023 - Evora Duração: 13 out. 2021 → 16 out. 2021

Série de publicação

Nome	Springer Proceedings in Mathematics and Statistics
ISSN (impresso)	2194-1009
ISSN (eletrónico)	2194-1017

Conferência

Conferência	26th Congress of the Portuguese Statistical Society, SPE 2023
País/Território	Portugal
Cidade	Evora
Período	13/10/21 → 16/10/21

Acesso ao documento

10.1007/978-3-031-68949-9_2

Outros arquivos e links

Link to publication in Scopus

CITAR - Research Center for Science and Technology of the Arts: UID/622/2025. Pluriannual 2025-2029
Ribas, D. (PI)
1/01/25 → 31/12/29
Projeto

Citação

Brilhante, M. F., Gomes, M. I., Mendonça, S., Pestana, D., & Pestana, P. (2025). Population growth and geometrically thinned extreme value theory. Em L. Henriques-Rodrigues, R. Menezes, L. M. Machado, S. Faria, & M. D. Carvalho (Eds.), New frontiers in statistics and data science: SPE2023 (pp. 13-26). (Springer Proceedings in Mathematics and Statistics). Springer. https://doi.org/10.1007/978-3-031-68949-9_2

Brilhante, M. Fátima ; Gomes, M. Ivette ; Mendonça, Sandra et al. / Population growth and geometrically thinned extreme value theory. New frontiers in statistics and data science: SPE2023. editor / Lígia Henriques-Rodrigues ; Raquel Menezes ; Luís Meira Machado ; Susana Faria ; Miguel de Carvalho. Springer, 2025. pp. 13-26 (Springer Proceedings in Mathematics and Statistics).

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title = "Population growth and geometrically thinned extreme value theory",

abstract = "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.",

keywords = "BetaBoop random variables, Extreme value theory, Generalised Verhulst differential equations, Population dynamics",

author = "Brilhante, \{M. F{\'a}tima\} and Gomes, \{M. Ivette\} and Sandra Mendon{\c c}a and Dinis Pestana and Pedro Pestana",

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Brilhante, MF, Gomes, MI, Mendonça, S, Pestana, D & Pestana, P 2025, Population growth and geometrically thinned extreme value theory. em L Henriques-Rodrigues, R Menezes, LM Machado, S Faria & MD Carvalho (eds), New frontiers in statistics and data science: SPE2023. Springer Proceedings in Mathematics and Statistics, Springer, pp. 13-26, 26th Congress of the Portuguese Statistical Society, SPE 2023, Evora, Portugal, 13/10/21. https://doi.org/10.1007/978-3-031-68949-9_2

Population growth and geometrically thinned extreme value theory. / Brilhante, M. Fátima; Gomes, M. Ivette; Mendonça, Sandra et al.
New frontiers in statistics and data science: SPE2023. ed. / Lígia Henriques-Rodrigues; Raquel Menezes; Luís Meira Machado; Susana Faria; Miguel de Carvalho. Springer, 2025. p. 13-26 (Springer Proceedings in Mathematics and Statistics).

Resultado de pesquisa › revisão de pares

TY - GEN

T1 - Population growth and geometrically thinned extreme value theory

AU - Brilhante, M. Fátima

AU - Gomes, M. Ivette

AU - Mendonça, Sandra

AU - Pestana, Dinis

AU - Pestana, Pedro

N1 - Publisher Copyright: © The Author(s), under exclusive license to Springer Nature Switzerland AG 2025.

PY - 2025/1

Y1 - 2025/1

N2 - 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.

AB - 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.

KW - BetaBoop random variables

KW - Extreme value theory

KW - Generalised Verhulst differential equations

KW - Population dynamics

UR - https://www.scopus.com/pages/publications/85218091827

U2 - 10.1007/978-3-031-68949-9_2

DO - 10.1007/978-3-031-68949-9_2

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AN - SCOPUS:85218091827

SN - 9783031689482

SN - 9783031726071

T3 - Springer Proceedings in Mathematics and Statistics

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EP - 26

BT - New frontiers in statistics and data science

A2 - Henriques-Rodrigues, Lígia

A2 - Menezes, Raquel

A2 - Machado, Luís Meira

A2 - Faria, Susana

A2 - Carvalho, Miguel de

PB - Springer

T2 - 26th Congress of the Portuguese Statistical Society, SPE 2023

Y2 - 13 October 2021 through 16 October 2021

ER -

Brilhante MF, Gomes MI, Mendonça S, Pestana D, Pestana P. Population growth and geometrically thinned extreme value theory. Em Henriques-Rodrigues L, Menezes R, Machado LM, Faria S, Carvalho MD, editores, New frontiers in statistics and data science: SPE2023. Springer. 2025. p. 13-26. (Springer Proceedings in Mathematics and Statistics). doi: 10.1007/978-3-031-68949-9_2

Population growth and geometrically thinned extreme value theory

Resumo

Série de publicação

Conferência

Acesso ao documento

Outros arquivos e links

Impressão digital

Projetos

CITAR - Research Center for Science and Technology of the Arts: UID/622/2025. Pluriannual 2025-2029

Citação