activity
20182022
most citedOn some properties of the bimodal normal distribution and its bivariate version

5 citations · 8 across the 10 of their papers we have counts for

collaborators

17 papers

stat.ME2022

Bivariate log-symmetric models: distributional properties, parameter estimation and an application to fatigue data analysis

Roberto Vila, Narayanaswamy Balakrishnan, Helton Saulo +1

The bivariate Gaussian distribution has been a key model for many developments in statistics. However, many real-world phenomena generate data that follow asymmetric distributions,…

stat.ME2022

Unit-log-symmetric models: Characterization, statistical properties and its use in analyzing internet access data

Roberto Vila, Narayanaswamy Balakrishnan, Helton Saulo +1

We present here a unit-log-symmetric model based on the bivariate log-symmetric distribution. It is a flexible family of distributions over the interval . We then discuss i…

stat.ME2022

Theoretical results and modeling under the discrete Birnbaum-Saunders distribution

Filidor Vilca, Roberto Vila, Helton Saulo +2

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.…

stat.ME20211 cited

A parametric quantile beta regression for modeling case fatality rates of COVID-19

Marcelo Bourguignon, Diego I. Gallardo, Helton Saulo

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) di…

stat.ME2021

On a quantile autoregressive conditional duration model applied to high-frequency financial data

Helton Saulo, Narayanaswamy Balakrishnan, Roberto Vila

Autoregressive conditional duration (ACD) models are primarily used to deal with data arising from times between two successive events. These models are usually specified in terms…

math.ST20215 cited

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

Roberto Vila, Helton Saulo, Jamer Roldan

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…