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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

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

The field of quickest change detection (QCD) concerns design and analysis of algorithms to estimate in real time the time at which an important event takes place and identify properties of the post-change behavior. The goal is to devise a…

统计理论 · 数学 2024-09-13 Austin Cooper , Sean Meyn

Detecting abrupt changes in real-time data streams from scientific simulations presents a challenging task, demanding the deployment of accurate and efficient algorithms. Identifying change points in live data stream involves continuous…

We study the detection of change-points in time series. The classical CUSUM statistic for detection of jumps in the mean is known to be sensitive to outliers. We thus propose a robust test based on the Wilcoxon two-sample test statistic.…

统计理论 · 数学 2013-04-10 Herold Dehling , Roland Fried , Isabel García , Martin Wendler

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

The Exponentially Weighted Moving Average (EWMA) and Cumulative Sum (CUSUM) control charts have been used in profile monitoring to track drift shifts that occur in a monitored process. We construct Bayesian EWMA and Bayesian CUSUM charts…

统计方法学 · 统计学 2020-07-21 Chelsea Mitchell , Abdel-Salam Abdel-Salam , D'Arcy Mays

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

We introduce a robust estimator of the location parameter for the change-point in the mean based on the Wilcoxon statistic and establish its consistency for $L_1$ near epoch dependent processes. It is shown that the consistency rate depends…

统计理论 · 数学 2017-01-10 Carina Gerstenberger

This paper proposes self-normalized tests for multistep conditional predictive ability in forecast comparison. By normalizing the sample mean of the transformed loss differential using functionals of its cumulative sum (CUSUM) process,…

统计理论 · 数学 2026-05-11 Qitong Chen , Shuwen Lai

In this paper is discussed an application of signed measures (charges) to description of segment and chord length distributions in nonconvex bodies. The signed distribution may naturally appears due to definition via derivatives of…

数学物理 · 物理学 2010-05-11 Alexander Yu. Vlasov

In this work, nonparametric log-rank-type statistical tests are introduced in order to verify homogeneity of purely discrete variables subject to arbitrary right-censoring for infinitely many categories. In particular, the Cram\'er-von…

统计理论 · 数学 2012-01-12 Dorival Leão , Alberto Ohashi

We propose a new system identification method, called Sign-Perturbed Sums (SPS), for constructing non-asymptotic confidence regions under mild statistical assumptions. SPS is introduced for linear regression models, including but not…

信号处理 · 电气工程与系统科学 2018-07-24 Balázs Cs. Csáji , Marco C. Campi , Erik Weyer

The cumulative sum (CUSUM) process is often used in change point analysis to detect changes in the mean of sequentially observed data. We provide a full description of the asymptotic distribution of $L^p, 1\leq p <\infty$, functionals of…

概率论 · 数学 2020-10-07 Lajos Horváth , Gregory Rice

We propose an exact nonparametric inference scheme for the detection of nonlinear determinism. The essential fact utilized in our scheme is that, for a linear stochastic process with jointly symmetric innovations, its ordinary least square…

混沌动力学 · 物理学 2007-05-23 Xiaodong Luo , Jie Zhang , Michael Small , Irene Moroz

We develop a testing procedure for distinguishing between a long-range dependent time series and a weakly dependent time series with change-points in the mean. In the simplest case, under the null hypothesis the time series is weakly…

统计理论 · 数学 2016-08-16 István Berkes , Lajos Horváth , Piotr Kokoszka , Qi-Man Shao

It is commonly required to detect change points in sequences of random variables. In the most difficult setting of this problem, change detection must be performed sequentially with new observations being constantly received over time.…

统计方法学 · 统计学 2015-05-08 Gordon J Ross

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

A sensitivity analysis in an observational study tests whether the qualitative conclusions of an analysis would change if we were to allow for the possibility of limited bias due to confounding. The design sensitivity of a hypothesis test…

统计方法学 · 统计学 2024-08-06 Steven R. Howard , Samuel D. Pimentel

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…

信号处理 · 电气工程与系统科学 2020-03-04 Dominik Reinhard , Michael Fauß , Abdelhak M. Zoubir