3 papers
math.PR2021
Explicit non-asymptotic bounds for the distance to the first-order Edgeworth expansion
Alexis Derumigny, Lucas Girard, Yannick Guyonvarch
In this article, we obtain explicit bounds on the uniform distance between the cumulative distribution function of a standardized sum of independent centered random varia…
math.ST2019
On the construction of confidence intervals for ratios of expectations
Alexis Derumigny, Lucas Girard, Yannick Guyonvarch
In econometrics, many parameters of interest can be written as ratios of expectations. The main approach to construct confidence intervals for such parameters is the delta method.…
cond-mat.mtrl-sci2012
Damage-cluster distributions and size effect on strength in compressive failure
Lucas Girard, Jerome Weiss, David Amitrano
We investigate compressive failure of heterogeneous materials on the basis of a continuous progressive damage model. The model explicitely accounts for tensile and shear local dama…