activity
20132026
most citedThe Minimum Regularized Covariance Determinant estimator

77 citations · 80 across the 10 of their papers we have counts for

collaborators

11 papers

q-fin.RM2026

Hidden Dependence and Aggregate Tail Risk

Corrado De Vecchi, Max Nendel, Steven Vanduffel

We study risk aggregation problems for arbitrary non-decreasing aggregation functions and tail risk measures under dependence uncertainty in a distributionally robust setting. To t…

q-fin.RM2025

Robust distortion risk metrics with Wasserstein and Unimodal Constraints

Peng Liu, Steven Vanduffel, Yi Xia +1

We establish sharp upper and lower bounds for distortion risk metrics under distributional uncertainty. The uncertainty sets are characterized by four key features of the underlyin…

q-fin.RM2025

Higher moments under dependence uncertainty with applications in insurance

Carole Bernard, Jinghui Chen, Steven Vanduffel

Recent studies have highlighted the significance of higher-order moments - such as coskewness - in portfolio optimization within the financial domain. This paper extends that focus…

math.PR2024

Modeling coskewness with zero correlation and correlation with zero coskewness

Carole Bernard, Jinghui Chen, Steven Vanduffel

This paper shows that one needs to be careful when making statements on potential links between correlation and coskewness. Specifically, we first show that, on the one hand, it is…

math.ST2023

Coskewness under dependence uncertainty

Carole Bernard, Jinghui Chen, Ludger Ruschendorf +1

We study the impact of dependence uncertainty on the expectation of the product of random variables, when for all~. Under some…

q-fin.PM2022

Cost-efficient Payoffs under Model Ambiguity

Carole Bernard, Gero Junike, Thibaut Lux +1

Dybvig (1988a,b) solves in a complete market setting the problem of finding a payoff that is cheapest possible in reaching a given target distribution ("cost-efficient payoff"). In…

q-fin.RM2022

Robust Distortion Risk Measures

Carole Bernard, Silvana M. Pesenti, Steven Vanduffel

The robustness of risk measures to changes in underlying loss distributions (distributional uncertainty) is of crucial importance in making well-informed decisions. In this paper,…

stat.ME2017★ 77 cited

The Minimum Regularized Covariance Determinant estimator

Kris Boudt, Peter J. Rousseeuw, Steven Vanduffel +1

The Minimum Covariance Determinant (MCD) approach robustly estimates the location and scatter matrix using the subset of given size with lowest sample covariance determinant. Its m…

stat.OT2014★ 1 cited

Quantile of a Mixture

Carole Bernard, Steven Vanduffel

In this note, we give an explicit expression for the quantile of a mixture of two random variables. We carefully examine all possible cases of discrete and continuous variables wit…

q-fin.PM2013

Optimal Payoffs under State-dependent Preferences

Carole Bernard, Franck Moraux, Ludger Rueschendorf +1

Most decision theories, including expected utility theory, rank dependent utility theory and cumulative prospect theory, assume that investors are only interested in the distributi…

q-fin.PM2013★ 2 cited

Rationalizing Investors Choice

Carole Bernard, Jit Seng Chen, Steven Vanduffel

Assuming that agents' preferences satisfy first-order stochastic dominance, we show how the Expected Utility paradigm can rationalize all optimal investment choices: the optimal in…