8 papers
Normal approximation for partial sums: general convex costs
Jérôme Dedecker, Florence Merlevède, Emmanuel Rio
We provide non-asymptotic bounds and asymptotic limits for convex transport costs between the distribution of partial sums of independent and identically distributed square integra…
Concentration of the empirical measure in Wasserstein distance: bounds involving the covering dimension
Jérôme Dedecker, Aurélie Fischer, Bertrand Michel
We give concentration inequalities in Wasserstein distance for the empirical measure of a sequence of independent and identically distributed random variables with values in a Poli…
Z-scores-based methods and their application to biological monitoring: An extended analysis of professional soccer players and cyclists athletes
Geoffroy C. B. Berthelot, Brigitte Gelein, Eric Meinadier +3
The increase in the collection of biological data allows for the individual and longitudinal monitoring of hematological or urine biomarkers. However, identifying abnormal behavior…
DEViaN-LM: An R Package for Detecting Abnormal Values in the Gaussian Linear Model
Geoffroy Berthelot, Guillaume Saulière, Jérôme Dedecker
The DEViaN-LM is a R package that allows to detect the values poorly explained by a Gaussian linear model. The procedure is based on the maximum of the absolute value of the studen…
Some remarks on Gordin-Lifšic's condition for martingale approximations
Jèrôme Dedecker, Florence Merlevède
In this note, we study a condition introduced by Gordin and Lif{\v s}ic in 1981 to establish the Central Limit Theorem for additive functionals of stationary Markov chains with nor…
On Berry Esseen type estimates for randomized Martingales in the non stationary setting
J Dedecker, F Merlevède, M Peligrad +1
In this paper, we consider partial sums of triangular martingale differences weighted by random variables drawn uniformly on the sphere, and globally independent of the martingale…