1 citations · 3 across the 8 of their papers we have counts for
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Mod-Poisson approximation schemes and higher-order Chen-Stein inequalities
Pierre-Loïc Méliot, Ashkan Nikeghbali, Gabriele Visentin
In this article, we provide an extension of the Chen-Stein inequality for Poisson approximation in the total variation distance for sums of independent Bernoulli random variables i…
Asymptotics of the major index of a random standard tableau
Pierre-Loïc Méliot, Ashkan Nikeghbali
In this article, we establish the mod- convergence of the major index of a uniform random standard tableau whose shape converges in the Thoma simplex. This implies various proba…
Gaussian approximations for random vectors
Pierre-Loïc Méliot, Ashkan Nikeghbali
We present several refinements on the fluctuations of sequences of random vectors (with values in the Euclidean space ) which converge after normalization to a multid…
On the precise deviations of the characteristic polynomial of a random matrix
Pierre-Loïc Méliot, Ashkan Nikeghbali
In this paper, using techniques developed in our earlier works on the theory of mod-Gaussian convergence, we prove precise moderate and large deviation results for the logarithm of…
A central limit theorem for singular graphons
Pierre-Loïc Méliot
We associate to a graphon the sequence of -random graphs . We say that the graphon is singular if, for any finite graph , the homomorphism density $t…
Fluctuations of the Gromov-Prohorov sample model
Jacques de Catelan, Pierre-Loïc Méliot
In this paper, we study the fluctuations of observables of metric measure spaces which are random discrete approximations of a fixed arbitrary (complete, separable) metric me…