activity
20162025
most citedEstimation of copulas via Maximum Mean Discrepancy

5 citations · 15 across the 17 of their papers we have counts for

collaborators

18 papers

math.ST2025

Can we have it all? Non-asymptotically valid and asymptotically exact confidence intervals for expectations and linear regressions

Alexis Derumigny, Lucas Girard, Yannick Guyonvarch

We contribute to bridging the gap between large- and finite-sample inference by studying confidence sets (CSs) that are both non-asymptotically valid and asymptotically exact unifo…

math.ST2023★ 1 cited

Lower bounds for the trade-off between bias and mean absolute deviation

Alexis Derumigny, Johannes Schmidt-Hieber

In nonparametric statistics, rate-optimal estimators typically balance bias and stochastic error. The recent work on overparametrization raises the question whether rate-optimal es…

math.ST2023★ 1 cited

Codivergences and information matrices

Alexis Derumigny, Johannes Schmidt-Hieber

We propose a new concept of codivergence, which quantifies the similarity between two probability measures relative to a reference probability measure . In the neig…

math.ST2022★ 2 cited

Fast estimation of Kendall's Tau and conditional Kendall's Tau matrices under structural assumptions

Rutger van der Spek, Alexis Derumigny

Kendall's tau and conditional Kendall's tau matrices are multivariate (conditional) dependence measures between the components of a random vector. For large dimensions, available e…

math.ST2021

Identifiability and estimation of meta-elliptical copula generators

Alexis Derumigny, Jean-David Fermanian

Meta-elliptical copulas are often proposed to model dependence between the components of a random vector. They are specified by a correlation matrix and a map , called density g…

math.ST2021

Robust-to-outliers square-root LASSO, simultaneous inference with a MOM approach

G. Finocchio, A. Derumigny, K. Proksch

We consider the least-squares regression problem with unknown noise variance, where the observed data points are allowed to be corrupted by outliers. Building on the median-of-mean…

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…

stat.ME2020★ 5 cited

Estimation of copulas via Maximum Mean Discrepancy

Pierre Alquier, Badr-Eddine Chérief-Abdellatif, Alexis Derumigny +1

This paper deals with robust inference for parametric copula models. Estimation using Canonical Maximum Likelihood might be unstable, especially in the presence of outliers. We pro…

stat.ME2020

Testing for equality between conditional copulas given discretized conditioning events

Alexis Derumigny, Jean-David Fermanian, Aleksey Min

Several procedures have been recently proposed to test the simplifying assumption for conditional copulas. Instead of considering pointwise conditioning events, we study the consta…

math.ST2020★ 1 cited

Conditional empirical copula processes and generalized dependence measures

Alexis Derumigny, Jean-David Fermanian

We study the weak convergence of conditional empirical copula processes, when the conditioning event has a nonzero probability. The validity of several bootstrap schemes is stated,…

math.ST2020

On lower bounds for the bias-variance trade-off

Alexis Derumigny, Johannes Schmidt-Hieber

It is a common phenomenon that for high-dimensional and nonparametric statistical models, rate-optimal estimators balance squared bias and variance. Although this balancing is wide…

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.…

math.ST2019★ 2 cited

Estimation of a regular conditional functional by conditional U-statistics regression

Alexis Derumigny

U-statistics constitute a large class of estimators, generalizing the empirical mean of a random variable to sums over every -tuple of distinct observations of . They may…

math.ST2018

On kernel-based estimation of conditional Kendall's tau: finite-distance bounds and asymptotic behavior

Alexis Derumigny, Jean-David Fermanian

We study nonparametric estimators of conditional Kendall's tau, a measure of concordance between two random variables given some covariates. We prove non-asymptotic bounds with exp…

stat.CO2018

A classification point-of-view about conditional Kendall's tau

Alexis Derumigny, Jean-David Fermanian

We show how the problem of estimating conditional Kendall's tau can be rewritten as a classification task. Conditional Kendall's tau is a conditional dependence parameter that is a…

math.ST2018★ 3 cited

About Kendall's regression

Alexis Derumigny, Jean-David Fermanian

Conditional Kendall's tau is a measure of dependence between two random variables, conditionally on some covariates. We assume a regression-type relationship between conditional Ke…

math.ST2017

Improved bounds for Square-Root Lasso and Square-Root Slope

Alexis Derumigny

Extending the results of Bellec, Lecué and Tsybakov to the setting of sparse high-dimensional linear regression with unknown variance, we show that two estimators, the Square-Root…

math.ST2016

About tests of the "simplifying" assumption for conditional copulas

Alexis Derumigny, Jean-David Fermanian

We discuss the so-called "simplifying assumption" of conditional copulas in a general framework. We introduce several tests of the latter assumption for non- and semiparametric cop…