2 citations · 3 across the 7 of their papers we have counts for
7 papers
On the influence function for the Theil-like class of inequality measures
Tchilabalo Abozou Kpanzou, Diam Ba, Pape Djiby Mergane +1
On one hand, a large class of inequality measures, which includes the generalized entropy, the Atkinson, the Gini, etc., for example, has been introduced in Mergane and Lo (2013).…
A Theil-like Class of Inequality Measures, its Asymptotic Normality Theory and Applications
Pape Djiby Mergane, Tchilabalo Abozou Kpanzou, Diam Ba +1
In this paper, we consider a coherent theory about the asymptotic representations for a family of inequality indices called Theil-Like Inequality Measures (TLIM), within a Gaussian…
Asymptotic Representations of Statistics in the Functional Empirical process : A portal and some applications
Gane Samb Lo, Pape Djiby Mergane, Thilabola Atozou Kpanzou +1
In this research monograph, we deal with a very general asymptotic representation for statistics named GRI expressed in the functional empirical process, both one-dimensional and m…
Asymptotic Theory and Statistical Decomposability gap Estimation for Takayama's Index
Pape Djiby Mergane, Cheikh Mohamed Haidara, Cheikh Tidiane Seck +1
In the spirit of recent asymptotic works on the General Poverty Index (GPI) in the field of Welfare Analysis, the asymptotic representation of the non-decomposable Takayama's index…
On the joint distribution of variations of the Gini index and Welfare indices
Gane Samb Lo, Pape Djiby Mergane, Tchilabalo Abozou Kpanzou
The aim of this paper is to establish the asymptotic behavior of the mutual influence of the Gini index and the poverty measures by using the Gaussian fields described in Mergane a…
Functional weak laws for the weighted mean losses or gains and applications
Gane Samb Lo, Serigne Touba Sall, Pape Djiby Mergane
We show in this paper that many risk measures arising in Actuarial Sciences, Finance, Medicine, Welfare analysis, etc. are garthered in classes of Weighted Mean Loss or Gain (WMLG)…
On the influence of the Theil-like inequality measure on the growth
Pape Djiby Mergane, Gane Samb LO
We set in this paper a coherent theory based on functional empirical processes to consider both the poverty and the inequality indices in one Gaussian field enabling to study the i…