arXiv subjects

Cherif Mamadou Moctar Traoré

Publications and source records attributed to Cherif Mamadou Moctar Traoré.

3 recordsLinked to original sources

arXiv2020

Comparison between Riemann-Stieltjes and Lebesgue-Stieltjes integration using discrete distribution functions

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, specially in stochastic processes. For such functions and alike extension, a comparison between Riemann-Stieltjes and Lebesgue-Stieltjes integration and the integrals formulas leads to interesting facts for students (as complements of Measure Theory and Integrations) and for practitioners and and researchers. We undergone conditions of existence the Riemann-Stieltjes integrals related to that type of function and compare the results with what should be expected for Lebesgue-Stieltjes theory.

math.FA↗

arXiv2020

Uniform Rates of Convergence of Some Representations of Extremes : a first approach

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 index are meant to be extended to arbitrary samples extremes in coming papers.

stat.ME↗

arXiv2018

On some properties of the new Sine-skewed Cardioid Distribution

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 its extreme value domain, the characteristic function, the moments and likelihood estimators of the two parameters, the asymptotic normality of the moments estimators and the random generation of data from the \textit{ssc} distribution. Finally, we proceed to a simulation study to show the performance of the random generation method and the quality of the moments estimation of the parameters.

stat.OT↗