2 citations · 8 across the 24 of their papers we have counts for
14 papers · 1 filter
The exact probability law for the approximated similarity from the Minhashing method
Soumaila Dembele, Gane Samb Lo
We propose a probabilistic setting in which we study the probability law of the Rajaraman and Ullman \textit{RU} algorithm and a modified version of it denoted by \textit{RUM}. The…
-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}'…
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…