A new BISARMA time series model for forecasting mortality using weather and particulate matter data

V Leiva, H Saulo, R Souza, RG Aykroyd… - Journal of …, 2021 - Wiley Online Library
Abstract The Birnbaum–Saunders (BS) distribution is a model that frequently appears in the
statistical literature and has proved to be very versatile and efficient across a wide range of …

A new Birnbaum–Saunders distribution and its mathematical features applied to bimodal real-world data from environment and medicine

J Reyes, J Arrué, V Leiva, C Martin-Barreiro - Mathematics, 2021 - mdpi.com
In this paper, we propose and derive a Birnbaum–Saunders distribution to model bimodal
data. This new distribution is obtained using the product of the standard Birnbaum …

On the bimodal Gumbel model with application to environmental data

CEG Otiniano, R Vila, PC Brom… - arXiv preprint arXiv …, 2021 - arxiv.org
The Gumbel model is a very popular statistical model due to its wide applicability for
instance in the course of certain survival, environmental, financial or reliability studies. In this …

A bimodal model for extremes data

CEG Otiniano, BS Paiva, R Vila… - … and Ecological Statistics, 2023 - Springer
In extreme values theory, for a sufficiently large block size, the maxima distribution is
approximated by the generalized extreme value (GEV) distribution. The GEV distribution is a …

On some properties of the bimodal normal distribution and its bivariate version

R Vila, H Saulo, J Roldan - arXiv preprint arXiv:2106.00097, 2021 - arxiv.org
In this work, we derive some novel properties of the bimodal normal distribution. Some of its
mathematical properties are examined. We provide a formal proof for the bimodality and …

On mean-based bivariate Birnbaum-Saunders distributions: Properties, inference and application

H Saulo, J Leão, R Vila, V Leiva… - … in Statistics-Theory and …, 2020 - Taylor & Francis
Birnbaum-Saunders models have been widely used to describe data following positive-
skew distributions. In this article, we introduce a bivariate Birnbaum-Saunders distribution …

Theoretical results and modeling under the discrete Birnbaum-Saunders distribution

F Vilca, R Vila, H Saulo, L Sánchez… - … in Statistics-Theory and …, 2024 - Taylor & Francis
In this paper, we discuss some theoretical results and properties of a discrete version of the
Birnbaum-Saunders distribution. We present a proof of the unimodality of this model …

A New Class of Exponentiated Exponential Distributions: Bimodality, Regression, and Application

A Alzaghal, M Aldeni, R Al-Aqtash - Journal of Statistical Theory and …, 2023 - Springer
Developing families of distributions that can be flexible in modeling different shapes of data
remains a strong emphasis in research. Many families of distributions appeared in the …

A bivariate fatigue-life regression model and its application to fracture of metallic tools

H Saulo, J Leão, V Leiva, R Vila, V Tomazella - 2021 - projecteuclid.org
Abstract The Birnbaum–Saunders distribution has been widely used to model reliability and
fatigue data. In this paper, we propose a regression of generalized linear models type based …

On a bivariate Birnbaum-Saunders distribution parameterized by its means: features, reliability analysis and application

H Saulo, J Leao, R Vila, V Leiva… - arXiv preprint arXiv …, 2018 - arxiv.org
Birnbaum-Saunders models have been widely used to model positively skewed data. In this
paper, we introduce a bivariate Birnbaum-Saunders distribution which has the means as …