1 citations · 1 across the 12 of their papers we have counts for
12 papers
Elements of Randoms Analysis about the Gamma Generalized Hyperbolic Distribution Levy Stochastic Process
Nafy Ngom, Aladji Babacar Niang, Soumaila Dembele +1
In this paper, we study some aspects on random analysis on the Léevy stochastic processes with margins following generalized hyperbolic distributions generated by gamma laws. In pa…
-Central limit theorems and -invariance principles for associated random variables
Aladji Babacar Niang, Akym Adekpedjou, Harouna Sangaré +1
The investigation asymptotic limits on associated data mainly focused on limit theorems of summands of associated data and on the related invariance principles. In a series of pape…
Poisson invariance principles from two classical Poisson limit theorems and extension to non-stationary independent sequences
Aladji Babacar Niang, Gane Samb Lo, Chérif Mamadou Moctar Traoré +1
The simple Lévy Poisson process and scaled forms are explicitly constructed from partial sums of independent and identically distributed random variables and from sums of non-stati…
Extensions of two classical Poisson limit laws to non-stationary independent data
Aladji Babacar Niang, Harouna Sangaré, Tchilabalo Abozou Kpanzou +2
In earlier stages in the introduction to asymptotic methods in probability theory, the weak convergence of sequences of Binomial of random variables (\textit{rv}'…
Moments estimators and omnibus chi-square tests for some usual probability laws
Gorgui Gning, Aladji Babacar Niang, Modou Ngom +1
For many probability laws, in parametric models, the estimation of the parameters can be done in the frame of the maximum likelihood method, or in the frame of moment estimation me…
Simultaneous Joint Lower and Upper record values Probability Laws for Absolutely Continuous or Discrete Data
Gane Samb Lo, Mohammad Ahsanullah, Aladji Babacar Niang
This paper investigates the probability density function () of the -vector of both lower and upper record values for a sequence of independent random varia…
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…
Asymptotics of summands I: square integrable independent random variables
Aladji Babacar Niang, Gane Samb Lo, Moumouni Diallo
This paper is part of series on self-contained papers in which a large part, if not the full extent, of the asymptotic limit theory of summands of independent random variables is e…
A note on the weak convergence of continuously integrable sequences
Gane Samb Lo, Aladji Babacar Niang
A uniformly continuously integrable sequence of real-valued measurable functions, defined on some probability space, is relatively compact in the topology. In thi…
A modern approach to the moment problem on
Moussoda Touré, Gane Samb Lo, Aladji Babacar Niang
The moment problem is an important problem in Functional Analysis and in Probability measure. It goes back to Stieltjes, around 1890. There is still an important ongoing interest i…
A detailed and direct proof of Skorohod-Wichura's theorem
Gane Samb Lo, Aladji Babacar Niang, Lois Chinwendu Okereke
The representation Skorohod theorem of weak convergence of random variables on a metric space goes back to Skorohod (1956) in the case where the metric space is the class of real-v…
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…