activity
20092026
most citedEstimation of volatility functionals in the simultaneous presence of microstructure noise and jumps

310 citations · 565 across the 13 of their papers we have counts for

collaborators

21 papers

math.ST2026

Jump regression revisited

Mathias Vetter, Fan Yu

Regression analysis for stochastic processes has been an important topic over the last decades. Typically, regressing a dependent process on an explanatory results in an in…

econ.EM2026★ 76 cited

On covariation estimation for multivariate continuous Itô semimartingales with noise in non-synchronous observation schemes

Kim Christensen, Mark Podolskij, Mathias Vetter

This paper presents a Hayashi-Yoshida type estimator for the covariation matrix of continuous Itô semimartingales observed with noise. The coordinates of the multivariate process a…

math.ST2022

On the estimation of the jump activity index in the case of random observation times

Adrian Theopold, Mathias Vetter

We propose a nonparametric estimator of the jump activity index of a pure-jump semimartingale driven by a -stable process when the underlying observations are coming fro…

math.PR2020

A universal approach to estimate the conditional variance in semimartingale limit theorems

Mathias Vetter

The typical central limit theorems in high-frequency asymptotics for semimartingales are results on stable convergence to a mixed normal limit with an unknown conditional variance.…

math.ST2018

Multiscale change point detection for dependent data

Holger Dette, Theresa Schüler, Mathias Vetter

In this paper we study the theoretical properties of the simultaneous multiscale change point estimator (SMUCE) proposed by Frick et al. (2014) in regression models with dependent…

math.PR2018

Laws of large numbers for Hayashi-Yoshida-type functionals

Ole Martin, Mathias Vetter

In high-frequency statistics and econometrics sums of functionals of increments of stochastic processes are commonly used and statistical inference is based on the asymptotic behav…