Small failure probability: principles, progress and perspectives

I Lee, U Lee, P Ramu, D Yadav, G Bayrak… - Structural and …, 2022 - Springer
Abstract Design of structural and multidisciplinary systems under uncertainties requires
estimation of their reliability or equivalently the probability of failure under the given …

[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 …

Asymptotic prediction for future observations of a random sample of unknown continuous distribution

M El-Adll, HM Barakat, A Aly - Complexity, 2022 - Wiley Online Library
When the first r lower extreme order statistics (failure times) of a sample of large size n, 1< r<
s< n, are observed, asymptotic predictive intervals of the future extreme order statistic with a …

A class of weighted Hill estimators

F Caeiro, A Mateus, L Soltane - … and Mathematical Methods, 2021 - Wiley Online Library
Abstract In Statistics of Extremes, the estimation of the extreme value index is an essential
requirement for further tail inference. In this work, we deal with the estimation of a strictly …

Reliable Alternative Ways to Manage the Risk of Extreme Events

MI Gomes, F Figueiredo… - … Conference on Risk …, 2022 - Springer
In the field of statistical extreme value theory, risk is generally expressed either by the value
at risk at a level q (VaR q), the upper (1− q)-quantile of the loss function, or by the conditional …

[HTML][HTML] Reduced bias estimation of the shape parameter of the log-logistic distribution

F Caeiro, A Mateus - Journal of Computational and Applied Mathematics, 2024 - Elsevier
In the literature, the log-logistic distribution is commonly presented with two parameters: one
that governs the shape of the model, and the other that governs its scale. However, to make …

[PDF][PDF] Comparaçao assintótica de duas classes de estimadores de um parâmetro de forma de segunda-ordem

I Cabral, F Caeiro, MI Gomes - … Desafios Transversaisas Ciências …, 2021 - researchgate.net
O principal objectivo deste trabalho é o de comparar assintoticamente duas classes de
estimadores de um parâmetro de segunda–ordem⇢, que controla a velocidade de …

A reduced-bias weighted least square estimation of the extreme value index

E Ocran, R Minkah, K Doku-Amponsah - arXiv preprint arXiv:2110.08570, 2021 - arxiv.org
In this paper, we propose a reduced-bias estimator of the EVI for Pareto-type tails (heavy-
tailed) distributions. This is derived using the weighted least squares method. It is shown that …

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 …

A new class of distributions on the whole real line based on the continuous iteration approach

Y Dijoux - Communications in Statistics-Theory and Methods, 2023 - Taylor & Francis
The continuous iteration of an exponential-type function allows to describe a whole range of
growths between logarithmical and exponential. This principle has been applied to a class …