13 citations · 60 across the 82 of their papers we have counts for
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Strong limits related to the oscillation modulus of the empirical process based on the k-spacing process
Gane Samb Lo
Recently, several strong limit theorems for the oscillation moduli of the empirical process have been given in the iid-case. We show that, with very slight differences, those stron…
Gaussian Approximations and Related Questions for the Spacings process
Gane Samb Lo
All the available results on the approximation of the k-spacings process to Gaussian processes have only used one approach, that is the Shorack and Pyke's one. Here, it is shown th…
The weak limiting behavior of the de Haan-Resnick estimator of the exponent of a stable distribution
Gane Samb Lo
The problem of estimating the exponent of a stable law received a considerable attention in the recent literature. Here, we deal with an estimate of such a exponent introduced by D…
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 ()…
Asymptotic Representation Theorems for Poverty Indices
Gane Samb Lo, Serigne Touba Sall
We set general conditions under which the general poverty index, which summarizes all the available indices, is asymptotically represented with some empirical processes. This repre…
A simple note on some empirical stochastic process as a tool in uniform L-statistics weak laws
Gane Samb Lo
In this paper, we are concerned with the stochastic process \begin{equation} β_{n}(q_{t},t)=β_{n}(t)=\frac{1}{\sqrt{n}}\sum_{j=1}^{n}\left\{G_{t,n}(Y(t))-G_{t}(Y_{j}(t))\right\} q_…