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In the statistical inference for long range dependent time series the shape of the limit distribution typically depends on unknown parameters. Therefore, we propose to use subsampling. We show the validity of subsampling for general…

Statistics Theory · Mathematics 2016-10-20 Annika Betken , Martin Wendler

In this paper, we propose a general method for testing composite hypotheses. Our idea is to use confidence limits to define stopping and decision rules. The requirements of operating characteristic function can be satisfied by adjusting the…

Statistics Theory · Mathematics 2012-02-10 Xinjia Chen

In this paper, we study change-point testing for high-dimensional linear models, an important problem that has not been well explored in the literature. Specifically, we propose a quadratic-form cumulative sum (CUSUM) statistic to test the…

Statistics Theory · Mathematics 2024-10-23 Zifeng Zhao , Xiaokai Luo , Zongge Liu , Daren Wang

In this article, we propose a class of test statistics for a change point in the mean of high-dimensional independent data. Our test integrates the U-statistic based approach in a recent work by \cite{hdcp} and the $L_q$-norm based…

Methodology · Statistics 2021-02-01 Yangfan Zhang , Runmin Wang , Xiaofeng Shao

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 consider the change-point detection in multivariate continuous and integer valued time series. We propose a Wald-type statistic based on the estimator performed by a general contrast function; which can be constructed from the…

Statistics Theory · Mathematics 2021-04-29 Mamadou Lamine Diop , William Kengne

Many time series exhibit changes both in level and in variability. Generally, it is more important to detect a change in the level, and changing or smoothly evolving variability can confound existing tests. This paper develops a framework…

Statistics Theory · Mathematics 2016-12-09 Tomasz Gorecki , Lajos Horvath , Piotr Kokoszka

This work delves into presenting a probabilistic method for analyzing linear process data with weakly dependent innovations, focusing on detecting change-points in the mean and estimating its spectral density. We develop a test for…

Statistics Theory · Mathematics 2024-10-01 Ramkrishna Jyoti Samanta

Without imposing prior distributional knowledge underlying multivariate time series of interest, we propose a nonparametric change-point detection approach to estimate the number of change points and their locations along the temporal axis.…

Methodology · Statistics 2021-05-13 Xiaodong Wang , Fushing Hsieh

This paper develops change-point methods for the spectrum of a locally stationary time series. We focus on series with a bounded spectral density that change smoothly under the null hypothesis but exhibits change-points or becomes less…

Statistics Theory · Mathematics 2024-08-08 Alessandro Casini , Pierre Perron

We develop a mixture procedure to monitor parallel streams of data for a change-point that affects only a subset of them, without assuming a spatial structure relating the data streams to one another. Observations are assumed initially to…

Statistics Theory · Mathematics 2013-05-10 Yao Xie , David Siegmund

The extensive emergence of big data techniques has led to an increasing interest in the development of change-point detection algorithms that can perform well in a multivariate, possibly high-dimensional setting. In the current paper, we…

Methodology · Statistics 2022-11-15 Andreas Anastasiou , Angelos Papanastasiou

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

The ability to detect change-points in a dynamic network or a time series of graphs is an increasingly important task in many applications of the emerging discipline of graph signal processing. This paper formulates change-point detection…

Applications · Statistics 2023-07-19 Heng Wang , Minh Tang , Youngser Park , Carey E. Priebe

We present a general and flexible framework for detecting regime changes in complex, non-stationary data across multi-trial experiments. Traditional change point detection methods focus on identifying abrupt changes within a single time…

Methodology · Statistics 2025-12-08 Anass B. El-Yaagoubi , Jean-Marc Freyermuth , Hernando Ombao

We propose a change-point detection method for large scale multiple testing problems with data having clustered signals. Unlike the classic change-point setup, the signals can vary in size within a cluster. The clustering structure on the…

Methodology · Statistics 2021-10-07 Hongyuan Cao , Wei Biao Wu

A method for change point detection is proposed. We consider a univariate sequence of independent random variables with piecewise constant expectation and variance, apart from which the distribution may vary periodically. We aim to detect…

Methodology · Statistics 2021-06-23 Michael Messer

This paper addresses the issue of detecting change-points in multivariate time series. The proposed approach differs from existing counterparts by making only weak assumptions on both the change-points structure across series, and the…

Methodology · Statistics 2014-07-14 Flore Harlé , Florent Chatelain , Cédric Gouy-Pailler , Sophie Achard

This paper proposes self-normalized tests for multistep conditional predictive ability in forecast comparison. By normalizing the sample mean of the transformed loss differential using functionals of its cumulative sum (CUSUM) process,…

Statistics Theory · Mathematics 2026-05-11 Qitong Chen , Shuwen Lai

Large volumes of spatiotemporal data, characterized by high spatial and temporal variability, may experience structural changes over time. Unlike traditional change-point problems, each sequence in this context consists of function-valued…

Methodology · Statistics 2025-06-12 Fengyi Song , Decai Liang , Changliang Zou