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Tests for structural breaks in time series should ideally be sensitive to breaks in the parameter of interest, while being robust to nuisance changes. Statistical analysis thus needs to allow for some form of nonstationarity under the null…

统计方法学 · 统计学 2022-12-02 Fabian Mies

Oftentimes in practice, the observed process changes statistical properties at an unknown point in time and the duration of a change is substantially finite, in which case one says that the change is intermittent or transient. We provide an…

应用统计 · 统计学 2023-04-11 Grigory Sokolov , Valentin S. Spivak , Alexander G. Tartakovsky

A finite horizon variant of the quickest change detection problem is studied, in which the goal is to minimize a delay threshold (latency), under constraints on the probability of false alarm and the probability that the latency is…

数据结构与算法 · 计算机科学 2024-09-20 Yu-Han Huang , Venugopal V. Veeravalli

In a variety of different settings cumulative sum (CUSUM) procedures have been applied for the sequential detection of structural breaks in the parameters of stochastic models. Yet their performance depends strongly on the time of change…

统计方法学 · 统计学 2013-08-07 Stefan Fremdt

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…

统计方法学 · 统计学 2020-10-27 Ivan Kojadinovic , Ghislain Verdier

This paper is concerned with testing and dating structural breaks in the dependence structure of multivariate time series. We consider a cumulative sum (CUSUM) type test for constant copula-based dependence measures, such as Spearman's rank…

计量经济学 · 经济学 2020-11-12 Florian Stark , Sven Otto

In this paper we consider change-points in multiple sequences with the objective of minimizing the estimation error of a sequence by making use of information from other sequences. This is in contrast to recent interest on change-points in…

统计理论 · 数学 2023-02-02 Hock Peng Chan

In this work, we aim to provide a new and efficient recursive detection method for temporarily monitored signals. Motivated by the case of the propagation of an event over a field of sensors, we assumed that the change in the statistical…

应用统计 · 统计学 2022-03-17 V. Watson , F. Septier , P. Armand , C. Duchenne

In this paper easily applicable techniques are devised for detecting changepoints in autocorrelated Gaussian sequences. Our method proceeds by sequential evaluation of a CUSUM-type test statistic, which is compared to a predefined…

概率论 · 数学 2016-02-09 W. Ellens , J. Kuhn , M. Mandjes , P. Żuraniewski

The problem of sequential change diagnosis is considered, where observations are obtained on-line, an abrupt change occurs in their distribution, and the goal is to quickly detect the change and accurately identify the post-change…

统计理论 · 数学 2022-11-24 Austin Warner , Georgios Fellouris

We study a CUSUM (cumulative sums) procedure for the detection of changes in the means of weakly dependent time series within an abstract Hilbert space framework. We use an empirical projection approach via a principal component…

统计理论 · 数学 2015-10-08 Leonid Torgovitski

Sequential change-point detection plays a critical role in numerous real-world applications, where timely identification of distributional shifts can greatly mitigate adverse outcomes. Classical methods commonly rely on parametric density…

机器学习 · 统计学 2025-01-23 Wenbin Zhou , Liyan Xie , Zhigang Peng , Shixiang Zhu

Considering a regression model, we address the question of testing the nullity of the regression function. The testing procedure is available when the variance of the observations is unknown and does not depend on any prior information on…

统计理论 · 数学 2019-04-08 Thi Thien Trang Bui

We propose a general framework of sequential testing procedures based on $U$-statistics which contains as an example a sequential CUSUM test based on differences in mean but also includes a robust sequential Wilcoxon change point procedure.…

统计理论 · 数学 2019-12-19 Claudia Kirch , Christina Stoehr

Online change detection involves monitoring a stream of data for changes in the statistical properties of incoming observations. A good change detector will detect any changes shortly after they occur, while raising few false alarms.…

统计理论 · 数学 2020-03-03 Thomas Flynn , Shinjae Yoo

To detect changes in the mean of a time series, one may use previsible detection procedures based on nonparametric kernel prediction smoothers which cover various classic detection statistics as special cases. Bandwidth selection,…

概率论 · 数学 2018-03-20 Ansgar Steland

Most of the literature on change-point analysis by means of hypothesis testing considers hypotheses of the form H0 : \theta_1 = \theta_2 vs. H1 : \theta_1 != \theta_2, where \theta_1 and \theta_2 denote parameters of the process before and…

统计方法学 · 统计学 2016-11-26 Holger Dette , Dominik Wied

We present a distribution-free CUSUM procedure designed for online change detection in a time series of low-rank images, particularly when the change causes a mean shift. We represent images as matrix data and allow for temporal dependence,…

统计方法学 · 统计学 2025-02-28 Tingnan Gong , Seong-Hee Kim , Yao Xie

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…

统计理论 · 数学 2020-02-17 Axel Bücher , Holger Dette , Florian Heinrichs

There is an emerging trend in applying deep learning methods to control complex nonlinear systems. This paper considers enhancing the runtime safety of nonlinear systems controlled by neural networks in the presence of disturbance and…

系统与控制 · 电气工程与系统科学 2024-03-26 Jianglin Lan , Siyuan Zhan , Ron Patton , Xianxian Zhao