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20112025
most citedA supermartingale argument for characterizing the Functional Hill process weak law for small parameters

1 citations · 1 across the 6 of their papers we have counts for

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6 papers

stat.ME2025

Asymptotic Statistical Theory for the Samples Problems using the Functional Empirical Process, revisited I

Abdoulaye Camara, Adja Mbarka Fall, Moumouni Diallo +1

In this paper we study the asymptotic theory for samples problem based on the functional empirical process (fep), this new method is called general samples problem. We suggest this…

math.ST2022

The Pseudo-Lindley Alpha Power transformed distribution, mathematical characterizations and asymptotic properties

Modou Ngom, Moumouni Diallo, Adja Mbarka Fall +1

We introduce a new generalization of the Pseudo-Lindley distribution by applying alpha power transformation. The obtained distribution is referred as the Pseudo-Lindley alpha power…

math.PR2014

Another look at Second order condition in Extreme Value Theory

Gane Samb Lo, Adja Mbarka Fall

This note compares two approaches both alternatively used when establishing normality theorems in univariate Extreme Value Theory. When the underlying distribution function ()…

stat.ME2013★ 1 cited

A supermartingale argument for characterizing the Functional Hill process weak law for small parameters

Gane Samb Lo, Adja Mbarka Fall, Cheikhna Hamallah Ndiaye +1

The paper deals with the asymptotic laws of functional of standard random variables. These classes of statistics are closely related to estimators of the extreme value index when t…

stat.OT2012

Demmartingales and the functionnal Hill process for small parameters

Adja Mbarka Fall, Gane Samb Lo, Cheikhna Hamallah Ndiaye

Association of random variables and Demimartingales are recent fields for handling asymptotic behaviors of sums of dependent random variables. We apply their techniques to establis…

stat.ME2011

On the Pickands stochastic process

Gane Samb Lo, Adja Mbarka Fall

We consider the Pickands process {equation*} P_{n}(s)=\log (1/s)^{-1}\log \frac{X_{n-k+1,n}-X_{n-[k/s]+1,n}}{% X_{n-[k/s]+1,n}-X_{n-[k/s^{2}]+1,n}}, {equation*} {equation*} (\frac{…