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We study two nonparametric tests of the hypothesis that a sequence of independent observations is identically distributed against the alternative that at a single change point the distribution changes. The tests are based on the Cramer-von…

Statistics Theory · Mathematics 2020-10-15 Rasmus Erlemann , Richard Lockhart , Rihan Yao

We study the problem of detecting a common change point in large panel data based on a mean shift model, wherein the errors exhibit both temporal and cross-sectional dependence. A least squares based procedure is used to estimate the…

Statistics Theory · Mathematics 2019-04-26 Monika Bhattacharjee , Moulinath Banerjee , George Michailidis

We propose a novel nonparametric approach for estimating the location of block boundaries (change-points) of non-overlapping blocks in a random symmetric matrix which consists of random variables having their distribution changing from one…

Statistics Theory · Mathematics 2016-05-13 Vincent Brault , Sarah Ouadah , Laure Sansonnet , Céline Lévy-Leduc

The main goal is to develop and, consequently, compare stochastic methods for detection whether a structural change in panel data occurred at some unknown time or not. Panel data of our interest consist of a moderate or relatively large…

Methodology · Statistics 2016-08-22 Barbora Peštová , Michal Pešta

This paper considers the problems of detecting a change point and estimating the location in the correlation matrices of a sequence of high-dimensional vectors, where the dimension is large enough to be comparable to the sample size or even…

Methodology · Statistics 2023-11-07 Zhaoyuan Li , Jie Gao

In many temporally ordered data sets, it is observed that the parameters of the underlying distribution change abruptly at unknown times. The detection of such changepoints is important for many applications. While this problem has been…

Methodology · Statistics 2025-06-30 Surojit Biswas , Buddhananda Banerjee , Arnab Kumar Laha

Distributed formation maneuver control refers to the problem of maneuvering a group of agents to change their formation shape by adjusting the motions of partial agents, where the controller of each agent only requires local information…

Systems and Control · Electrical Eng. & Systems 2026-05-21 Tao He , Gangshan Jing

We develop a testing procedure for distinguishing between a long-range dependent time series and a weakly dependent time series with change-points in the mean. In the simplest case, under the null hypothesis the time series is weakly…

Statistics Theory · Mathematics 2016-08-16 István Berkes , Lajos Horváth , Piotr Kokoszka , Qi-Man Shao

The $\nu$-metric used in robust control is computed for control systems with parametric uncertainty, governed by a diffusion equation in a bounded one-dimensional spatial region with boundary control and point observation.

Optimization and Control · Mathematics 2025-12-15 Amol Sasane

We introduce a robust estimator of the location parameter for the change-point in the mean based on the Wilcoxon statistic and establish its consistency for $L_1$ near epoch dependent processes. It is shown that the consistency rate depends…

Statistics Theory · Mathematics 2017-01-10 Carina Gerstenberger

We consider change-point tests based on rank statistics to test for structural changes in long-range dependent observations. Under the hypothesis of stationary time series and under the assumption of a change with decreasing change-point…

Statistics Theory · Mathematics 2020-10-01 Annika Betken , Martin Wendler

This paper develops a new multivariate control charting method for vector autocorrelated and serially correlated processes. The main idea is to propose a Bayesian multivariate local level model, which is a generalization of the…

Methodology · Statistics 2008-02-05 K. Triantafyllopoulos

Classical moment based change point tests like the cusum test are very powerful in case of Gaussian time series with one change point but behave poorly under heavy tailed distributions and corrupted data. A new class of robust change point…

Statistics Theory · Mathematics 2019-05-16 Alexander Dürre , Roland Fried

Graph-based methods have shown particular strengths in change-point detection (CPD) tasks for high-dimensional nonparametric settings. However, existing CPD research has rarely addressed data with repeated measurements or local group…

Methodology · Statistics 2025-11-25 Serim Han , Jingru Zhang , Hoseung Song

The classical problem of quickest change detection is studied with an additional constraint on the cost of observations used in the detection process. The change point is modeled as an unknown constant, and minimax formulations are proposed…

Statistics Theory · Mathematics 2012-11-19 Taposh Banerjee , Venugopal V. Veeravalli

Detecting abrupt changes in the mean of a time series, so-called changepoints, is important for many applications. However, many procedures rely on the estimation of nuisance parameters (like long-run variance). Under the alternative (a…

Statistics Theory · Mathematics 2018-08-14 Michal Pešta , Martin Wendler

In this paper we propose new methodology for the data segmentation, also known as multiple change point problem, in a general framework including classic mean change scenarios, changes in linear regression but also changes in the time…

Methodology · Statistics 2023-11-17 Claudia Kirch , Kerstin Reckruehm

For general repeated measures designs the Wald-type statistic (WTS) is an asymptotically valid procedure allowing for unequal covariance matrices and possibly non-normal multivariate observations. The drawback of this procedure is the poor…

Methodology · Statistics 2016-06-24 Sarah Friedrich , Edgar Brunner , Markus Pauly

Changepoint detection identifies times when the generative process of a time series changes, with applications in healthcare, cybersecurity, and finance. In multivariate settings, changes in cross-variable and temporal dependence are…

Methodology · Statistics 2026-05-11 Victor K. Khamesi , Edward A. K. Cohen , Niall M. Adams , Dean A. Bodenham

A nonparametric procedure for robust regression estimation and for quantile regression is proposed which is completely data-driven and adapts locally to the regularity of the regression function. This is achieved by considering in each…

Statistics Theory · Mathematics 2009-04-06 Markus Reiss , Yves Rozenholc , Charles-Andre Cuenod