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This paper develops non-parametric rotation invariant CUSUMs suited to the detection of changes in the mean direction as well as changes in the concentration parameter of angular data. The properties of the CUSUMs are illustrated by…

统计方法学 · 统计学 2018-06-08 F. Lombard , Douglas M. Hawkins , Cornelis Potgieter

Change point analysis has applications in a wide variety of fields. The general problem concerns the inference of a change in distribution for a set of time-ordered observations. Sequential detection is an online version in which new data…

统计方法学 · 统计学 2013-10-16 David S. Matteson , Nicholas A. James

The quickest change detection problem is considered in the context of monitoring large-scale independent normal distributed data streams with possible changes in some of the means. It is assumed that for each individual local data stream,…

统计理论 · 数学 2016-03-18 Yuan Wang , Yajun Mei

We suggest a novel procedure for online change point detection. Our approach expands an idea of maximizing a discrepancy measure between points from pre-change and post-change distributions. This leads to flexible algorithms suitable for…

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

Change-point detection studies the problem of detecting the changes in the underlying distribution of the data stream as soon as possible after the change happens. Modern large-scale, high-dimensional, and complex streaming data call for…

统计理论 · 数学 2023-06-05 Haoyun Wang , Yao Xie

This article aims to consider a new univariate nonparametric cumulative sum (CUSUM) control chart for small shift of location based on both change-point model and Mann-Whitney statistic. Some comparisons on the performances of the proposed…

统计方法学 · 统计学 2013-05-21 Dabuxilatu Wang , Qiang Xiong

The problem of detecting change points in the parameters of a linear regression model with errors and covariates exhibiting heteroscedasticity is considered. Asymptotic results for weighted functionals of the cumulative sum (CUSUM)…

计量经济学 · 经济学 2025-10-28 Lajos Horvath , Gregory Rice , Yuqian Zhao

We propose a Bayesian hierarchical model to simultaneously estimate mean based changepoints in spatially correlated functional time series. Unlike previous methods that assume a shared changepoint at all spatial locations or ignore spatial…

统计方法学 · 统计学 2022-01-11 Mengchen Wang , Trevor Harris , Bo Li

We introduce a new Levy fluctuation theoretic method to analyze the cumulative sum (CUSUM) procedure in sequential change-point detection. When observations are phase-type distributed and the post-change distribution is given by exponential…

统计方法学 · 统计学 2022-09-07 Jevgenijs Ivanovs , Kazutoshi Yamazaki

Change point estimation is often formulated as a search for the maximum of a gain function describing improved fits when segmenting the data. Searching through all candidates requires $O(n)$ evaluations of the gain function for an interval…

统计方法学 · 统计学 2024-11-22 Solt Kovács , Housen Li , Lorenz Haubner , Axel Munk , Peter Bühlmann

This paper considers the constrained sampling multi-stream quickest change detection problem, also known as the bandit quickest change detection problem. One stream contains a change-point that shifts its mean by an unknown amount. The goal…

系统与控制 · 电气工程与系统科学 2026-03-30 Joshua Kartzman , Calvin Hawkins , Matthew Hale

Motivated by Industry 4.0 applications, we consider quickest change detection (QCD) of an abrupt change in a process when its measurements are transmitted by a sensor over a lossy wireless link to a decision maker (DM). The sensor node…

信号处理 · 电气工程与系统科学 2025-10-30 Krishna Chaythanya KV , Saqib Abbas Baba , Anurag Kumar , Arpan Chattopadhyay , Rajesh Sundaresan

Anomaly detection (AD) has been recently employed in the context of edge cloud computing, e.g., for intrusion detection and identification of performance issues. However, state-of-the-art anomaly detection procedures do not systematically…

网络与互联网体系结构 · 计算机科学 2024-01-17 Sotiris Skaperas , George Koukis , Ioanna Angeliki Kapetanidou , Vassilis Tsaoussidis , Lefteris Mamatas

We introduce a novel approach based on stochastic optimization to find the optimal sampling distribution for the data-driven stability analysis of switched linear systems. Our goal is to address limitations of existing approaches, in…

最优化与控制 · 数学 2025-09-01 Alexis Vuille , Guillaume O. Berger , Raphaël M. Jungers

A vector-valued model-based cumulative sum (CUSUM) procedure is proposed for identifying faulty/falsified sensor measurements. First, given the system dynamics, we derive tools for tuning the CUSUM procedure in the fault/attack free case to…

系统与控制 · 计算机科学 2017-10-13 Carlos Murguia , Justin Ruths

Non-Gaussian and multimodal distributions are an important part of many recent robust sensor fusion algorithms. In difference to robust cost functions, they are probabilistically founded and have good convergence properties. Since their…

机器人学 · 计算机科学 2020-01-14 Tim Pfeifer , Peter Protzel

We consider the problem of quickest change detection (QCD) in a signal where its observations are obtained using a set of actions, and switching from one action to another comes with a cost. The objective is to design a stopping rule…

最优化与控制 · 数学 2021-01-22 Tze Siong Lau , Wee Peng Tay

A quickest change detection problem is considered in a sensor network with observations whose statistical dependency structure across the sensors before and after the change is described by a decomposable graphical model (DGM). Distributed…

信号处理 · 电气工程与系统科学 2021-09-08 Yicheng Chen , Rick S. Blum , Brian M. Sadler

Consider each node of a graph to be generating a data stream that is synchronized and observed at near real-time. At a change-point $\tau$, a change occurs at a subset of nodes $C$, which affects the probability distribution of their…

机器学习 · 统计学 2023-01-13 Alejandro de la Concha , Argyris Kalogeratos , Nicolas Vayatis