English
Related papers

Related papers: Bivariate change point detection: joint detection …

200 papers

Change-point detection and estimation procedures have been widely developed in the literature. However, commonly used approaches in change-point analysis have mainly been focusing on detecting change-points within an entire time series…

Methodology · Statistics 2024-05-27 Chak Fung Choi , Chunxue Li , Chun Yip Yau , Zifeng Zhao

This paper investigates change-point of variance in panel data models with time series of $\alpha$-mixing. Based on the cumulative sum (CUSUM) method and the individual differences, we construct a CUSUM test for panel data models to detect…

Methodology · Statistics 2026-03-16 Wenzhi Yang , Yueting Xu , Xiaoping Shi , Qiong Li

We consider the problem of change point detection for high-dimensional distributions in a location family when the dimension can be much larger than the sample size. In change point analysis, the widely used cumulative sum (CUSUM)…

Statistics Theory · Mathematics 2021-10-14 Mengjia Yu , Xiaohui Chen

Many experiments record sequential trajectories where each trajectory consists of oscillations and fluctuations around zero. Such trajectories can be viewed as zero-mean functional data. When there are structural breaks (on the sequence of…

Methodology · Statistics 2022-05-11 Shuhao Jiao , Ron D. Frostig , Hernando Ombao

We propose a Bayesian method to detect change points for functional data. We extract the features of a sequence of functional data by the discrete wavelet transform (DWT), and treat each sequence of feature independently. We believe there…

Methodology · Statistics 2018-08-06 Xiuqi Li , Subhashis Ghosal

We consider the problem of detecting distributional changes in a sequence of high dimensional data. Our approach combines two separate statistics stemming from $L_p$ norms whose behavior is similar under $H_0$ but potentially different…

Statistics Theory · Mathematics 2023-12-15 B. Cooper Boniece , Lajos Horváth , Peter Jacobs

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 change points detection aims to catch an abrupt disorder in data distribution. Common approaches assume that there are only two fixed distributions for data: one before and another after a change point. Real-world data are richer than…

Machine Learning · Computer Science 2022-04-18 Alexander Stepikin , Evgenia Romanenkova , Alexey Zaytsev

The research described herewith investigates detecting change points of means and of variances in a sequence of observations. The number of change points can be divergent at certain rate as the sample size goes to infinity. We define a…

Methodology · Statistics 2020-03-04 Wenbiao Zhao , Xuehu Zhu , Lixing Zhu

We consider the problem of detecting multiple changepoints in large data sets. Our focus is on applications where the number of changepoints will increase as we collect more data: for example in genetics as we analyse larger regions of the…

Methodology · Statistics 2015-03-17 R. Killick , P. Fearnhead , I. A. Eckley

Classical change point analysis aims at (1) detecting abrupt changes in the mean of a possibly non-stationary time series and at (2) identifying regions where the mean exhibits a piecewise constant behavior. In many applications however, it…

Statistics Theory · Mathematics 2020-02-17 Axel Bücher , Holger Dette , Florian Heinrichs

We propose a new multiple change-point detection framework for multivariate and non-Euclidean data. First, we combine graph-based statistics with wild binary segmentation or seeded binary segmentation to search for a pool of candidate…

Methodology · Statistics 2021-10-05 Yuxuan Zhang , Hao Chen

Existing monitoring tools for multivariate data are often asymptotically distribution-free, computationally intensive, or require a large stretch of stable data. Many of these methods are not applicable to 'high dimension, low sample size'…

Methodology · Statistics 2023-05-12 Niladri Chakraborty , Chun Fai Lui , Ahmed Maged

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

The variance of noise plays an important role in many change-point detection procedures and the associated inferences. Most commonly used variance estimators require strong assumptions on the true mean structure or normality of the error…

Methodology · Statistics 2023-11-17 Ning Hao , Yue Selena Niu , Han Xiao

A restrictive assumption in change point analysis is "stationarity under the null hypothesis of no change-point", which is crucial for asymptotic theory but not very realistic from a practical point of view. For example, if change point…

Methodology · Statistics 2018-02-01 Holger Dette , Weichi Wu , Zhou Zhou

We investigate the problem of jointly testing two hypotheses and estimating a random parameter based on data that is observed sequentially by sensors in a distributed network. In particular, we assume the data to be drawn from a Gaussian…

Signal Processing · Electrical Eng. & Systems 2020-03-04 Dominik Reinhard , Michael Fauß , Abdelhak M. Zoubir

We investigate the significance of change-points within fully nonparametric regression contexts, with a particular focus on panel data where data generation processes vary across units, and error terms may display complex dependency…

Econometrics · Economics 2025-01-07 Likai Chen , Georg Keilbar , Liangjun Su , Weining Wang

We consider the problem of breakpoint detection in a regression modeling framework. To that end, we introduce a novel method, the max-EM algorithm which combines a constrained Hidden Markov Model with the Classification-EM (CEM) algorithm.…

Computation · Statistics 2024-10-14 Modibo Diabaté , Grégory Nuel , Olivier Bouaziz

The aim of change-point detection is to identify behavioral shifts within time series data. This article focuses on scenarios where the data is derived from an inhomogeneous Poisson process or a marked Poisson process. We present a…

Methodology · Statistics 2024-11-07 C. Dion-Blanc , D. Hawat , E. Lebarbier , S. Robin