18 citations · 50 across the 51 of their papers we have counts for
5 papers · 1 filter
Bias analysis of a linear order-statistic inequality index estimator: Unbiasedness under gamma populations
Roberto Vila, Helton Saulo
This paper studies a class of rank-based inequality measures built from linear combinations of expected order statistics. The proposed framework unifies several well-known indices,…
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…
On Some Properties of the Beta Inverse Rayleigh Distribution
J. Leão, H. Saulo, M. Bourguignon +3
We study with some details a lifetime model of the class of beta generalized models, called the beta inverse Rayleigh distribution, which is a special case of the Beta Fréchet dist…
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…
On a bimodal Birnbaum-Saunders distribution with applications to lifetime data
Roberto Vila, Jeremias Leão, Helton Saulo +2
The Birnbaum-Saunders distribution is a flexible and useful model which has been used in several fields. In this paper, a new bimodal version of this distribution based on the alph…