5 papers
Central limit theorems for associated possibly moving partial sums and application to the non-stationary invariance principle
Akim Adekpedjou, Aladji Babacar Niang, Chérif Mamadou Moctar Traoré +1
General Central limit theorem deals with weak limits (in type) of sums of row-elements of array random variables. In some situations as in the invariance principle problem, the sum…
Comparison between Riemann-Stieltjes and Lebesgue-Stieltjes integration using discrete distribution functions
Aladji Babacar Niang, Gane Samb Lo, Cherif Mamadou Moctar Traoré
Integrating with respect to functions which are constant on intervals whose bounds are discontinuity points (of those functions) is frequent in many branches of Mathematics, specia…
A multinomial Asymptotic Representation of Zenga's Discrete Index, its Influence Function and Data-driven Applications
Tchilabalo Abozou Kpanzou, Diam Ba, Cherif Moctar Mamadou Traoré +1
In this paper, we consider the Zenga index, one of the most recent inequality index. We keep the finite-valued original form and address the asymptotic theory. The asymptotic norma…
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…
Uniform Rates of Convergence of Some Representations of Extremes : a first approach
Tchilabalo Atozou Kpanzou, Modou Ngom, Cherif Mamadou Moctar Traoré +2
Uniform convergence rates are provided for asymptotic representations of sample extremes. These bounds which are universal in the sense that they do not depend on the extreme value…