Marcelo Bourguignon
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View article: Mean and Dispersion Regression Model for Extremes with Application in Humidity
Mean and Dispersion Regression Model for Extremes with Application in Humidity Open
The generalized extreme value (GEV) distribution has been extensively applied in predicting extreme events across diverse fields, enabling accurate estimation of extreme quantiles of maxima. Although the mean and variance of the GEV can be…
View article: A new proportional hazard model with applications to breastfeeding data
A new proportional hazard model with applications to breastfeeding data Open
The World Health Organization recommends exclusive breastfeeding for the first 6 months of life, but several factors influence its cessation. Changes in breastfeeding behavior have been reported in the literature among infants at 0, 1, 3 a…
View article: A general and unified parameterization of the beta distribution: A flexible and robust beta regression model
A general and unified parameterization of the beta distribution: A flexible and robust beta regression model Open
The beta regression model is a commonly used approach for modeling data in the unit intervals, such as rates, ratios, percentages, or proportions. The usual mean beta regression model provides the average relationship between a response va…
View article: The Shared Weighted Lindley Frailty Model for Clustered Failure Time Data
The Shared Weighted Lindley Frailty Model for Clustered Failure Time Data Open
The primary goal of this paper is to introduce a novel frailty model based on the weighted Lindley (WL) distribution for modeling clustered survival data. We study the statistical properties of the proposed model. In particular, the amount…
View article: An In-Depth Review of the Weibull Model with a Focus on Various Parameterizations
An In-Depth Review of the Weibull Model with a Focus on Various Parameterizations Open
The Weibull distribution is a versatile probability distribution widely applied in modeling the failure times of objects or systems. Its behavior is shaped by two essential parameters: the shape parameter and the scale parameter. By manipu…
View article: On Underdispersed Count Kernels for Smoothing Probability Mass Functions
On Underdispersed Count Kernels for Smoothing Probability Mass Functions Open
Only a few count smoothers are available for the widespread use of discrete associated kernel estimators, and their constructions lack systematic approaches. This paper proposes the mean dispersion technique for building count kernels. It …
View article: On the distribution of a random variable involved in an independent ratio
On the distribution of a random variable involved in an independent ratio Open
In this paper, using inverse integral transforms, we derive the exact distribution of the random variable $X$ that is involved in the ratio $Z \stackrel{d}{=} X/(X+Y)$ where $X$ and $Y$ are independent random variables having the same supp…
View article: A Compound Class of Inverse-Power Muth and Power Series Distributions
A Compound Class of Inverse-Power Muth and Power Series Distributions Open
This paper introduces the inverse-power Muth power series model, which is a composition of the inverse-power Muth and the class of power series distributions. The use of the Bell distribution in this context is emphasized for the first tim…
View article: On the Bimodal Gumbel Model with Application to Environmental Data
On the Bimodal Gumbel Model with Application to Environmental Data Open
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 work, we have introduced a bimodal generalization o…
View article: Scale Mixture of Maxwell-Boltzmann Distribution
Scale Mixture of Maxwell-Boltzmann Distribution Open
This paper presents a new distribution, the product of the mixture between Maxwell-Boltzmann and a particular case of the generalized gamma distributions. The resulting distribution, called the Scale Mixture Maxwell-Boltzmann, presents gre…
View article: The Slash Half-Normal Distribution Applied to a Cure Rate Model with Application to Bone Marrow Transplantation
The Slash Half-Normal Distribution Applied to a Cure Rate Model with Application to Bone Marrow Transplantation Open
This paper proposes, for the first time, the use of an asymmetric positive and heavy-tailed distribution in a cure rate model context. In particular, it introduces a cure-rate survival model by assuming that the time-to-event of interest f…
View article: Modeling Income Data via New Parametric Quantile Regressions: Formulation, Computational Statistics, and Application
Modeling Income Data via New Parametric Quantile Regressions: Formulation, Computational Statistics, and Application Open
Income modeling is crucial in determining workers’ earnings and is an important research topic in labor economics. Traditional regressions based on normal distributions are statistical models widely applied. However, income data have an as…
View article: A model for bimodal rates and proportions
A model for bimodal rates and proportions Open
The beta model is the most important distribution for fitting data with the unit interval. However, the beta distribution is not suitable to model bimodal unit interval data. In this paper, we propose a bimodal beta distribution constructe…
View article: Parametric quantile regression for income data
Parametric quantile regression for income data Open
Univariate normal regression models are statistical tools widely applied in many areas of economics. Nevertheless, income data have asymmetric behavior and are best modeled by non-normal distributions. The modeling of income plays an impor…
View article: Parametric Quantile Regression Models for Fitting Double Bounded Response with Application to COVID-19 Mortality Rate Data
Parametric Quantile Regression Models for Fitting Double Bounded Response with Application to COVID-19 Mortality Rate Data Open
In this paper, we develop two fully parametric quantile regression models, based on the power Johnson SB distribution for modeling unit interval response in different quantiles. In particular, the conditional distribution is modeled by the…
View article: The shared weighted Lindley frailty model for cluster failure time data
The shared weighted Lindley frailty model for cluster failure time data Open
The primary goal of this paper is to introduce a novel frailty model based on the weighted Lindley (WL) distribution for modeling clustered survival data. We study the statistical properties of the proposed model. In particular, the amount…
View article: A Note on Pareto-Type Distributions Parameterized by Its Mean and Precision Parameters
A Note on Pareto-Type Distributions Parameterized by Its Mean and Precision Parameters Open
Pareto-type distributions are well-known distributions used to fit heavy-tailed data. However, the standard parameterizations used for Pareto-type distributions are poorly suited to modeling. On this note, we suggest new parameterizations …
View article: Transmuted Birnbaum–Saunders Distribution
Transmuted Birnbaum–Saunders Distribution Open
The Birnbaum–Saunders distribution has been largely studied and applied because of its attractive properties. We introduce a transmuted version of this distribution. Various of its mathematical and statistical features are derived. We use …
View article: Improved estimators in beta prime regression models
Improved estimators in beta prime regression models Open
In this paper, we consider the beta prime regression model recently proposed by \cite{bour18}, which is tailored to situations where the response is continuous and restricted to the positive real line with skewed and long tails and the reg…
View article: A parametric quantile beta regression for modeling case fatality rates of COVID-19
A parametric quantile beta regression for modeling case fatality rates of COVID-19 Open
Motivated by the case fatality rate (CFR) of COVID-19, in this paper, we develop a fully parametric quantile regression model based on the generalized three-parameter beta (GB3) distribution. Beta regression models are primarily used to mo…
View article: A Bimodal Model for Extremes Data
A Bimodal Model for Extremes Data Open
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 family of continuous probability distributions, which has…
View article: A Model for Bimodal Rates and Proportions
A Model for Bimodal Rates and Proportions Open
The beta model is the most important distribution for fitting data with the unit interval. However, the beta distribution is not suitable to model bimodal unit interval data. In this paper, we propose a bimodal beta distribution constructe…
View article: A new approach to modeling positive random variables with repeated measures
A new approach to modeling positive random variables with repeated measures Open
In many situations, it is common to have more than one observation per experimental unit, thus generating the experiments with repeated measures. In the modeling of such experiments, it is necessary to consider and model the intra-unit dep…
View article: An Extension of the Truncated-Exponential Skew- Normal Distribution
An Extension of the Truncated-Exponential Skew- Normal Distribution Open
In the paper, we present an extension of the truncated-exponential skew-normal (TESN) distribution. This distribution is defined as the quotient of two independent random variables whose distributions are the TESN distribution and the beta…
View article: On the bimodal Gumbel model with application to environmental data
On the bimodal Gumbel model with application to environmental data Open
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 work, we have introduced a bimodal generalization o…
View article: Parametric quantile regression models for fitting double bounded response with application to COVID-19 mortality rate data
Parametric quantile regression models for fitting double bounded response with application to COVID-19 mortality rate data Open
In this paper, we develop two fully parametric quantile regression models, based on power Johnson SB distribution Cancho et al. (2020), for modeling unit interval response at different quantiles. In particular, the conditional distribution…