Generalized Beta Models and Population Growth: So Many Routes to Chaos

MF Brilhante, MI Gomes, S Mendonça, D Pestana… - Fractal and …, 2023 - mdpi.com
Logistic and Gompertz growth equations are the usual choice to model sustainable growth
and immoderate growth causing depletion of resources, respectively. Observing that the …

[PDF][PDF] The 'Portuguese School of Extremes and Applications'(PORTSEA)

MI Gomes - Notas e Comunicaçoes CEAUL, 2021 - ceaul.org
The 'School of Extremes' in Portugal is nowadays well recognized by the international
scientific community. This recognition is mainly due to the scientific work of Tiago de Oliveira …

Modeling risk of extreme events in generalized Verhulst models

MF Brilhante, MI Gomes, D Pestana - REVSTAT-Statistical Journal, 2019 - revstat.ine.pt
A very popular model in population dynamics, which has been around since the first half of
the nineteenth century, is the Verhulst logistic model. However, some limitations of this …

[PDF][PDF] Extensions of Verhulst model in population dynamics and extremes

MF Brilhante, MI Gomes, D Pestana - Chaotic Modeling and Simulation, 2012 - cmsim.eu
Starting from the Beta (2, 2) model, connected to the Verhulst logistic parabola, several
extensions are discussed, and connections to extremal models are revealed. Aside from the …

Rise and fall of historic tram networks: Logistic approximation and discontinuous events

A Doménech-Carbó - Physica A: Statistical Mechanics and its Applications, 2019 - Elsevier
A logistic approximation was used to describe, in terms of total length (L) and population (H)
variables, the growth and decay of historic transportation systems. Three successive stages …

[HTML][HTML] Modeling 'dry'OCP measurements to characterize archaeological iron corrosion II: short-time transients

A Domenech-Carbo, MA Peiró-Ronda… - Journal of …, 2022 - Elsevier
Short-time transients recorded in “dry” open circuit potential (OCP) measurements
performed on archaeological iron artifacts are modeled based on their ascription to pitting …

The PORTSEA (Portuguese School of Extremes and Applications) and a few personal scientific achievements

MI Gomes - Communications in Mathematics, 2024 - cm.episciences.org
The Portuguese School of Extremes and Applications (PORTSEA) is nowadays well
recognized by the international scientific community, and in my opinion, the organization of a …

[PDF][PDF] Extreme stability in generalized Verhulst models for population dynamics

MF Brilhante, MI Gomes, DD Pestana - Statistical Journal, 2019 - researchgate.net
A very popular model in population dynamics, which has been around since the first half of
the nineteenth century, is the Verhulst logistic model. However, some limitations of this …

Further results on order statistics and products of functions of independent generalized beta random variables

MF Brilhante, MI Gomes, D Pestana - AIP Conference Proceedings, 2015 - pubs.aip.org
The BetaBoop (p, q, P, Q), p, q, P, Q> 0, family of random variables includes as special
cases Beta (p, q) random variables, which are known to be quite versatile in modeling …

[PDF][PDF] General stuttering Beta (p, q) Cantor-like random sets

S Aleixo, MF Brilhante, D Pestana - Proceedings of the 58th …, 2011 - researchgate.net
Random damage—deletion of (X1: 2, X2: 2) from [0, 1]—followed by random repair,
meaning the union of (Y1: 2, Y2: 2) to the damaged set, where X and Y are independent …