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It is well known that the conventional cumulative sum (CUSUM) test suffers from low power and large detection delay. In order to improve the power of the test, we propose two alternative statistics. The backward CUSUM detector considers the…

计量经济学 · 经济学 2022-04-13 Sven Otto , Jörg Breitung

In this paper, we consider the problem of (multiple) change-point detection in panel data. We propose the double CUSUM statistic which utilises the cross-sectional change-point structure by examining the cumulative sums of ordered CUSUMs at…

统计方法学 · 统计学 2016-11-29 Haeran Cho

Detecting change points sequentially in a streaming setting, especially when both the mean and the variance of the signal can change, is often a challenging task. A key difficulty in this context often involves setting an appropriate…

统计方法学 · 统计学 2022-11-01 Nauman Ahad , Mark A. Davenport , Yao Xie

Rapidly detecting problems in the quality of care is of utmost importance for the well-being of patients. Without proper inspection schemes, such problems can go undetected for years. Cumulative sum (CUSUM) charts have proven to be useful…

应用统计 · 统计学 2025-07-16 Daniel Gomon , Hein Putter , Rob G. H. H. Nelissen , Stéphanie van der Pas

The problem of quickest detection of a change in the distribution of a sequence of independent observations is considered. The pre-change observations are assumed to be stationary with a known distribution, while the post-change…

信号处理 · 电气工程与系统科学 2022-10-19 Yuchen Liang , Alexander G. Tartakovsky , Venugopal V. Veeravalli

Classical quickest change detection algorithms require modeling pre-change and post-change distributions. Such an approach may not be feasible for various machine learning models because of the complexity of computing the explicit…

机器学习 · 统计学 2023-02-02 Suya Wu , Enmao Diao , Taposh Banerjee , Jie Ding , Vahid Tarokh

Analysis of experimental data must sometimes deal with abrupt changes in the distribution of measured values. Setting upper limits on signals usually involves a veto procedure that excludes data not described by an assumed statistical…

广义相对论与量子宇宙学 · 物理学 2015-03-20 Vladimir Dergachev

The problem of quickest change detection with communication rate constraints is studied. A network of wireless sensors with limited computation capability monitors the environment and sends observations to a fusion center via wireless…

系统与控制 · 计算机科学 2016-09-06 Xiaoqiang Ren , Karl H. Johansson , Dawei Shi , Ling Shi

The paper addresses a sequential changepoint detection problem, assuming that the duration of change may be finite and unknown. This problem is of importance for many applications, e.g., for signal and image processing where signals appear…

We consider the sequential change-point detection problem of detecting changes that are characterized by a subspace structure. Such changes are frequent in high-dimensional streaming data altering the form of the corresponding covariance…

统计理论 · 数学 2018-06-29 Liyan Xie , George V. Moustakides , Yao Xie

We investigate the online detection of changepoints in the distribution of a sequence of observations using degenerate U-statistic-type processes. We study weighted versions of: an ordinary, CUSUM-type scheme, a Page-CUSUM-type scheme, and…

统计理论 · 数学 2025-10-28 Cooper Boniece , Lajos Horvath , Lorenzo Trapani

We investigate sequential change point estimation and detection in univariate nonparametric settings, where a stream of independent observations from sub-Gaussian distributions with a common variance factor and piecewise-constant but…

统计理论 · 数学 2020-11-16 Yi Yu , Oscar Hernan Madrid Padilla , Daren Wang , Alessandro Rinaldo

This work considers the problem of quickest detection of signals in a coupled system of $N$ sensors, which receive continuous sequential observations from the environment. It is assumed that the signals, which are modeled by general It\^{o}…

最优化与控制 · 数学 2016-03-11 Hongzhong Zhang , Olympia Hadjiliadis , Tobias Schäfer , H. Vincent Poor

Cumulative sum (CUSUM) statistics are widely used in the change point inference and identification. For the problem of testing for existence of a change point in an independent sample generated from the mean-shift model, we introduce a…

统计理论 · 数学 2021-01-05 Mengjia Yu , Xiaohui Chen

We propose a quickest change detection problem over sensor networks where both the subset of sensors undergoing a change and the local post-change distributions are unknown. Each sensor in the network observes a local discrete time random…

信号处理 · 电气工程与系统科学 2021-02-11 Deniz Sargun , C. Emre Koksal

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…

统计理论 · 数学 2024-10-23 Zifeng Zhao , Xiaokai Luo , Zongge Liu , Daren Wang

In this article, we consider the estimation of the structural change point in the nonparametric model with dependent observations. We introduce a maximum-CUSUM-estimation procedure, where the CUSUM statistic is constructed based on the…

应用统计 · 统计学 2020-12-03 Q. Yang , Y. Li , Y. Zhang

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…

统计方法学 · 统计学 2026-03-16 Wenzhi Yang , Yueting Xu , Xiaoping Shi , Qiong Li

In the quickest change detection problem in which both nuisance and critical changes may occur, the objective is to detect the critical change as quickly as possible without raising an alarm when either there is no change or a nuisance…

统计理论 · 数学 2019-10-23 Tze Siong Lau , Wee Peng Tay

The problem of decentralized sequential change detection is considered, where an abrupt change occurs in an area monitored by a number of sensors; the sensors transmit their data to a fusion center, subject to bandwidth and energy…

统计理论 · 数学 2013-11-12 Georgios Fellouris , George V. Moustakides