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20122026
most citedUniform change point tests in high dimension

138 citations · 205 across the 17 of their papers we have counts for

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10 papers · 1 filter

math.ST2026

Asset-specific limit order microstructure noise: Parameter estimation and empirical evidence

Markus Bibinger, Adrian Grüber, Moritz Jirak

The one-sided microstructure noise model for high-frequency quotes from a limit order book is generalized to capture asset-specific noise tail behaviour. Estimation of a noise tail…

math.ST2026

Asymptotic equivalence for nonparametric additive regression

Moritz Jirak, Alexander Meister, Angelika Rohde

We prove asymptotic equivalence of nonparametric additive regression and an appropriate Gaussian white noise experiment in which a multidimensional shifted Wiener process is observ…

math.ST2025

Nonparametric local polynomial regression for functional covariates

Moritz Jirak, Alois Kneip, Alexander Meister +1

We consider nonparametric regression with functional covariates, that is, they are elements of an infinite-dimensional Hilbert space. A locally polynomial estimator is constructed,…

math.ST2024

Sharp oracle inequalities and universality of the AIC and FPE

Moritz Jirak, Georg Köstenberger

In two landmark papers, Akaike introduced the AIC and FPE, demonstrating their significant usefulness for prediction. In subsequent seminal works, Shibata developed a notion of asy…

math.ST2022

Time-varying first-order autoregressive processes with irregular innovations

Hanna Gruber, Moritz Jirak

We consider a time-varying first-order autoregressive model with irregular innovations, where we assume that the coefficient function is Hölder continuous. To estimate this functio…

math.ST2015★ 138 cited

Uniform change point tests in high dimension

Moritz Jirak

Consider dependent change point tests, each based on a CUSUM-statistic. We provide an asymptotic theory that allows us to deal with the maximum over all test statistics as both…

math.ST2015★ 1 cited

Nonparametric change-point analysis of volatility

Markus Bibinger, Moritz Jirak, Mathias Vetter

This work develops change-point methods for statistics of high-frequency data. The main interest is in the volatility of an Itô semi-martingale, the latter being discretely observe…

math.ST2015

Optimal eigen expansions and uniform bounds

Moritz Jirak

Let be a stationary process with associated lag operators . Uniform asymptotic expansi…

math.ST2013★ 25 cited

Adaptive function estimation in nonparametric regression with one-sided errors

Moritz Jirak, Alexander Meister, Markus Reiß

We consider the model of nonregular nonparametric regression where smoothness constraints are imposed on the regression function and the regression errors are assumed to decay…

math.ST2012★ 9 cited

Simultaneous confidence bands for Yule-Walker estimators and order selection

Moritz Jirak

Let be an autoregressive process of order . Various estimators for the order and the parameters ${\bolds Θ}_q=(θ_1,...,θ_q)^T$ are known; the orde…