167 citations · 793 across the 13 of their papers we have counts for
5 papers · 1 filter
Empirical graph Laplacian approximation of Laplace--Beltrami operators: Large sample results
Evarist Giné, Vladimir Koltchinskii
Let be a compact Riemannian submanifold of of dimension and let be a sample of i.i.d. points in with uniform distributio…
High Dimensional Probability
Evarist Giné, Vladimir Koltchinskii, Wenbo Li +1
About forty years ago it was realized by several researchers that the essential features of certain objects of Probability theory, notably Gaussian processes and limit theorems, ma…
Concentration inequalities and asymptotic results for ratio type empirical processes
Evarist Giné, Vladimir Koltchinskii
Let be a class of measurable functions on a measurable space with values in and let \[P_n=n^{-1}\sum_{i=1}^nδ_{X_i}\] be the empirical measu…
Exponential and moment inequalities for U-statistics
Evarist Giné, Rafał Latała, Joel Zinn
A Bernstein-type exponential inequality for (generalized) canonical U-statistics of order 2 is obtained and the Rosenthal and Hoffmann-Jørgensen inequalities for sums of independen…
The LIL for canonical U-statistics of order 2
Evarist Giné, Stanisław Kwapień, Rafał Latała +1
Let X,X_1,X_2,... be independent identically distributed random variables and let h(x,y)=h(y,x) be a measurable function of two variables. It is shown that the bounded law of the i…