activity
20122026
most citedOn the range of validity of the autoregressive sieve bootstrap

112 citations · 124 across the 9 of their papers we have counts for

collaborators

10 papers

math.ST2026

Frequency Domain Bootstrap for Functional Time Series

Daniel Rademacher, Jens-Peter Kreiss, Efstathios Paparoditis

A frequency domain bootstrap procedure for functional time series is proposed and applied to the class of spectral mean operators. The procedure works by first generating independe…

math.ST2025

Detecting Periodicity of a General Stationary Time Series via AR(2)-Model Fitting

Jens-Peter Kreiss, Panagiotis Maouris, Efstathios Paparoditis

Estimating the periodicity of a stationary time series via fitting a second order stationary autoregressive (AR(2)) model has been initiated by the seminal paper of Yule(1927).. We…

math.ST2024

Gaussian Approximation for Lag-Window Estimators and the Construction of Confidence bands for the Spectral Density

Jens-Peter Kreiss, Anne Leucht, Efstathios Paparoditis

In this paper we consider the construction of simultaneous confidence bands for the spectral density of a stationary time series using a Gaussian approximation for classical lag-wi…

stat.AP2022

Adverse effects of vaccinations against the Corona-virus SARS-CoV-2: insights and hindsights from a statistical perspective

Thomas Schmidt-Melchiors, Jens-Peter Kreiss, Alexander Braumann

Vaccinations against the virus SARS-CoV-2 have proven to be most effective against a severe corona disease. However, a significant minority of people is still critical of such a va…

math.ST2021

Bootstrapping Whittle Estimators

Jens-Peter Kreiss, Efstathios Paparoditis

Fitting parametric models by optimizing frequency domain objective functions is an attractive approach of parameter estimation in time series analysis. Whittle estimators are a pro…

stat.AP2021

Estimation of the Distribution of the Individual Reproduction Number: The Case of the COVID-19 Pandemic

Alexander Braumann, Jonas Krampe, Jens-Peter Kreiss +1

We investigate the problem of estimating the distribution of the individual reproduction number governing the COVID-19 pandemic. Under the assumption that this random variable foll…

stat.ME2018

A Frequency Domain Bootstrap for General Stationary Processes

Marco Meyer, Efstathios Paparoditis, Jens-Peter Kreiss

Existing frequency domain methods for bootstrapping time series have a limited range. Consider for instance the class of spectral mean statistics (also called integrated periodogra…

stat.ME2018★ 12 cited

Bootstrap Based Inference for Sparse High-Dimensional Time Series Models

J. Krampe, J-P. Kreiss, E. Paparoditis

Fitting sparse models to high-dimensional time series is an important area of statistical inference. In this paper we consider sparse vector autoregressive models and develop appro…

math.ST2017

EstimatedWold Representation and Spectral Density-Driven Bootstrap for Time Series

Jonas Krampe, Jens-Peter Kreiss, Efstathios Paparoditis

The second-order dependence structure of purely nondeterministic stationary process is described by the coefficients of the famous Wold representation. These coefficients can be ob…

math.ST2012★ 112 cited

On the range of validity of the autoregressive sieve bootstrap

Jens-Peter Kreiss, Efstathios Paparoditis, Dimitris N. Politis

We explore the limits of the autoregressive (AR) sieve bootstrap, and show that its applicability extends well beyond the realm of linear time series as has been previously thought…