13 citations · 60 across the 82 of their papers we have counts for
9 papers · 1 filter
Divergence measures estimation and its asymptotic normality theory in the discrete case
Ba Amadou Diadie, Gane Samb Lo
In this paper we provide the asymptotic theory of the general of -divergences measures, which include the most common divergence measures : Renyi and Tsallis families and the Ku…
On some properties of the new Sine-skewed Cardioid Distribution
Cherif Mamadou Moctar Traoré, Moumouni Diallo, Gane Samb Lo +2
The new Sine Skewed Cardioid (ssc) distribution been just introduced and characterized by Ahsanullah (2018). Here, we study the asymptotic properties of its tails by determining it…
A parallel treatment of semi-continuous functions with left and right-functions continuous and some application in pedagogy
Gane Samb Lo
Left and right-continuous functions play an important role in Real analysis, especially in Measure Theory and Integration on the real line and in Stochastic processes indexed by a…
Weak Convergence (IIA) - Functional and Random Aspects of the Univariate Extreme Value Theory
Gane Samb Lo, Modou Ngom, Tchilabola Abozou Kpanzou +1
The univariate extreme value theory deals with the convergence in type of powers of elements of sequences of cumulative distribution functions on the real line when the power index…
Mathematical Foundations of Probability Theory
Gane Samb Lo
In the footsteps of the book \textit{Measure Theory and Integration By and For the Learner} of our series in Probability Theory and Statistics, we intended to devote a special volu…
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…
A simple proof of the theorem of Sklar and its extension to distribution functions
Gane Samb Lo
In this note we provide a quick proof of the Sklar's Theorem on the existence of copulas by using the generalized inverse functions as in the one dimensional case, but a little mor…