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One of the main challenges in identifying structural changes in stochastic processes is to carry out analysis for time series with dependency structure in a computationally tractable way. Another challenge is that the number of true change…

Methodology · Statistics 2017-08-02 Jie Ding , Yu Xiang , Lu Shen , Vahid Tarokh

We review recent developments in detecting and estimating multiple change-points in time series models with exogenous and endogenous regressors, panel data models, and factor models. This review differs from others in multiple ways: (1) it…

Econometrics · Economics 2025-07-31 Otilia Boldea , Alastair R. Hall

In high-dimensional time series, the component processes are often assembled into a matrix to display their interrelationship. We focus on detecting mean shifts with unknown change point locations in these matrix time series. Series that…

Methodology · Statistics 2024-07-16 Xinyu Zhang , Kung-Sik Chan

In decision modelling with time to event data, parametric models are often used to extrapolate the survivor function. One such model is the piecewise exponential model whereby the hazard function is partitioned into segments, with the…

Methodology · Statistics 2021-12-09 Philip Cooney , Arthur White

The paper deals with disorders detection in the multivariate stochastic process. We consider the multidimensional Poisson process or the multivariate renewal process. This class of processes can be used as a description of the distributed…

Optimization and Control · Mathematics 2021-01-12 Krzysztof J. Szajowski

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

This article considers a nonparametric method for detecting change points in non-stationary time series. The proposed method will divide the time series into several segments so that between two adjacent segments, the normalized spectral…

Statistics Theory · Mathematics 2020-11-05 Zixiang Guan , Gemai Chen

The aim of sequential change-point detection is to issue an alarm when it is thought that certain probabilistic properties of the monitored observations have changed. This work is concerned with nonparametric, closed-end testing procedures…

Methodology · Statistics 2020-10-27 Ivan Kojadinovic , Ghislain Verdier

The problem of detecting changes with multiple sensors has received significant attention in the literature. In many practical applications such as critical infrastructure monitoring and modeling of disease spread, a useful change…

Information Theory · Computer Science 2019-02-19 Mehmet Necip Kurt , Xiaodong Wang

This paper develops a unified and computationally efficient method for change-point estimation along the time dimension in a non-stationary spatio-temporal process. By modeling a non-stationary spatio-temporal process as a piecewise…

Methodology · Statistics 2023-10-09 Zifeng Zhao , Ting Fung Ma , Wai Leong Ng , Chun Yip Yau

The dynamic nature of many real-world systems can lead to temporal outcome model shifts, causing a deterioration in model accuracy and reliability over time. This requires change-point detection on the outcome models to guide model…

Methodology · Statistics 2026-01-13 Zhuofan Dong , Yiwen Huang , Yan Dong , Mengying Yan , Ziye Tian , Chuan Hong , Doudou Zhou , Molei Liu

There is a lack of methodological results for continuous time change detection due to the challenges of noninformative prior specification and efficient posterior inference in this setting. Most methodologies to date assume data are…

Methodology · Statistics 2025-04-28 Dan Cunha , Mark Friedl , Luis Carvalho

This work addresses the problem of segmentation in time series data with respect to a statistical parameter of interest in Bayesian models. It is common to assume that the parameters are distinct within each segment. As such, many Bayesian…

Signal Processing · Electrical Eng. & Systems 2019-01-18 Alireza Ahrabian

This paper develops a novel sequential Monte Carlo (SMC) approach for joint state and parameter estimation that can deal efficiently with abruptly changing parameters which is a common case when tracking maneuvering targets. The approach…

Computation · Statistics 2015-10-12 Christopher Nemeth , Paul Fearnhead , Lyudmila Mihaylova

This paper studies multivariate nonparametric change point localization and inference problems. The data consists of a multivariate time series with potentially short range dependence. The distribution of this data is assumed to be…

Statistics Theory · Mathematics 2023-01-30 Carlos Misael Madrid Padilla , Haotian Xu , Daren Wang , Oscar Hernan Madrid Padilla , Yi Yu

In this paper, we introduce two robust, nonparametric methods for multiple change-point detection in the variability of a multivariate sequence of observations. We demonstrate that changes in ranks generated from data depth functions can be…

Methodology · Statistics 2021-11-30 Kelly Ramsay , Shoja'eddin Chenouri

The paper studies the problem of detecting and locating change points in multivariate time-evolving data. The problem has a long history in statistics and signal processing and various algorithms have been developed primarily for simple…

Machine Learning · Statistics 2025-03-13 Jialiang Geng , George Michailidis

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

In this paper, we study statistical inference of change-points (CPs) in multi-dimensional sequence. In CP detection from a multi-dimensional sequence, it is often desirable not only to detect the location, but also to identify the subset of…

Machine Learning · Statistics 2021-10-19 Ryota Sugiyama , Hiroki Toda , Vo Nguyen Le Duy , Yu Inatsu , Ichiro Takeuchi

We propose a multi-threshold change plane regression model which naturally partitions the observed subjects into subgroups with different covariate effects. The underlying grouping variable is a linear function of covariates and thus…

Methodology · Statistics 2018-08-03 Jialiang Li , Yaguang Li , Baisuo Jin