activity
20042025
most citedLevel crossings and other level functionals of stationary Gaussian processes

83 citations · 127 across the 25 of their papers we have counts for

collaborators

28 papers

math.PR2025

Regularization Effects of Time Integration on Gaussian Process Functionals

Takafumi Amaba, Marie Kratz

In this paper, we investigate the regularization effects, in the sense of Malliavin calculus, on functionals of Gaussian processes induced by time integration, focusing on their co…

stat.ME2025

Multivariate Discrete Generalized Pareto Distributions: Theory, Simulation, and Applications to Dry spells

Samira Aka, Marie Kratz, Philippe Naveau

This article extends the multivariate extreme value theory (MEVT) to discrete settings, focusing on the generalized Pareto distribution (GPD) as a foundational tool. The purpose of…

math.ST2023★ 1 cited

Extremal behaviour and convergence rates for sample--based geometric quantiles and half space depths

Sibsankar Singha, Marie Kratz, Sreekar Vadlamani

We consider the empirical versions of geometric quantile and halfspace depth, and study their extremal behaviour as a function of the sample size. The objective of this study is to…

stat.ME2023

Efficient Estimation in Extreme Value Regression Models of Hedge Fund Tail Risks

Julien Hambuckers, Marie Kratz, Antoine Usseglio-Carleve

We introduce a method to estimate simultaneously the tail and the threshold parameters of an extreme value regression model. This standard model finds its use in finance to assess…

cs.CR2023

Managing Cyber Risk, a Science in the Making

Michel Dacorogna, Marie Kratz

Not a day goes by without news about a cyber attack. Fear spreads out and lots of wrong ideas circulate. This survey aims at showing how all these uncertainties about cyber can be…

math.ST2023

On the relation between extremal dependence and concomitants

Amir Khorrami Chokami, Marie Kratz

The study of concomitants has recently met a renewed interest due to its applications in selection procedures. For instance, concomitants are used in ranked-set sampling, to achiev…