37 citations · 88 across the 27 of their papers we have counts for
33 papers
On the distribution of a random variable involved in an independent ratio
Roberto Vila, Narayanaswamy Balakrishnan, Marcelo Bourguignon
In this paper, using inverse integral transforms, we derive the exact distribution of the random variable that is involved in the ratio where an…
On multivariate orderings of some general ordered random vectors
Tanmay sahoo, Nil Kamal Hazra, Narayanaswamy Balakrishnan
Ordered random vectors are frequently encountered in many problems. The generalized order statistics (GOS) and sequential order statistics (SOS) are two general models for ordered…
A closed-form expression for the variance of truncated distribution and its uses
Roberto Vila, Narayanaswamy Balakrishnan, Raul Matsushita
This work sheds some light on the relationship between a distribution's standard deviation and its range, a topic that has been discussed extensively in the literature. While many…
An upper bound and a characterization for Gini's mean difference based on correlated random variables
Roberto Vila, Narayanaswamy Balakrishnan, Helton Saulo
In this paper, we obtain an upper bound for the Gini mean difference based on mean, variance and correlation for the case when the variables are correlated. We also derive some clo…
Bivariate distributions on the unit square: Theoretical properties and applications
Roberto Vila, Narayanaswamy Balakrishnan, Helton Saulo +1
We introduce the bivariate unit-log-symmetric model based on the bivariate log-symmetric distribution (BLS) defined in [Vila et al., 2022, Bivariate Log-symmetric Models: Theoretic…
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,…