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Nonparametric control charts that can detect arbitrary distributional changes are highly desirable due to their flexibility to adapt to different distributional assumptions and distributional changes. However, most of such control charts in…

统计方法学 · 统计学 2017-12-15 Jun Li

Simultaneously monitoring changes in both the mean and variance is a fundamental problem in Statistical Process Control, and numerous methods have been developed to address it. However, many existing approaches face notable limitations:…

统计方法学 · 统计学 2025-09-03 Gokul Parakulum , Jun Li

This paper deals with phase II, univariate, statistical process control when a set of in-control data is available, and when both the in-control and out-of-control distributions of the process are unknown. Existing process control…

应用统计 · 统计学 2009-06-09 Snigdhansu Chatterjee , Peihua Qiu

We study the parametric online changepoint detection problem, where the underlying distribution of the streaming data changes from a known distribution to an alternative that is of a known parametric form but with unknown parameters. We…

统计理论 · 数学 2023-05-22 Liyan Xie , George V. Moustakides , Yao Xie

Universal compression algorithms have been studied in the past for sequential change detection, where they have been used to estimate the post-change distribution in the modified version of the Cumulative Sum (CUSUM) Test. In this paper, we…

信息论 · 计算机科学 2021-12-15 Vikrant Malik , R. K. Bansal

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 aim of online monitoring is to issue an alarm as soon as there is significant evidence in the collected observations to suggest that the underlying data generating mechanism has changed. This work is concerned with open-end,…

统计理论 · 数学 2020-07-21 Mark Holmes , Ivan Kojadinovic

This paper addresses the problem of detecting changes when only unnormalized pre- and post-change distributions are accessible. This situation happens in many scenarios in physics such as in ferromagnetism, crystallography,…

机器学习 · 统计学 2025-02-12 Arman Adibi , Sanjeev Kulkarni , H. Vincent Poor , Taposh Banerjee , Vahid Tarokh

The problem of sequential change diagnosis is considered, where a sequence of independent random elements is accessed sequentially, there is an abrupt change in its distribution at some unknown time, and there are two main operational…

统计理论 · 数学 2023-10-03 Austin Warner , Georgios Fellouris

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

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

CUSUMs based on the signed sequential ranks of observations are developed for detecting location and scale changes in symmetric distributions. The CUSUMs are distribution free and fully self-starting: given a specified in-control median and…

统计方法学 · 统计学 2017-06-14 F. Lombard , C. Van Zyl

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 paper, we not only propose an new optimal sequential test of sum of logarithmic likelihood ratio (SLR) but also present the CUSUM sequential test (control chart, stopping time) with the observation-adjusted control limits…

应用统计 · 统计学 2023-03-09 Fuquan Tang , Dong Han

In recent years, self-starting methods have garnered increasing attention in Statistical Process Control and Monitoring (SPC/M), as they offer real-time disorder detection without the need for a calibration phase (Phase I). This study…

其他统计学 · 统计学 2024-10-17 Konstantinos Bourazas

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

In this paper, we propose an new the CUSUM sequential test (control chart, stopping time) with the observation-adjusted control limits (CUSUM-OAL) for monitoring quickly and adaptively the change in distribution of a sequential…

应用统计 · 统计学 2024-11-25 F. Tang , D. Han

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

Distributed change-point detection has been a fundamental problem when performing real-time monitoring using sensor-networks. We propose a distributed detection algorithm, where each sensor only exchanges CUSUM statistic with their…

信号处理 · 电气工程与系统科学 2019-01-09 Qinghua Liu , Rui Zhang , Yao Xie

Quickest change detection (QCD) is a fundamental problem in many applications. Given a sequence of measurements that exhibits two different distributions around a certain flipping point, the goal is to detect the change in distribution…

信息论 · 计算机科学 2020-01-23 Ahmed Badawy , Ahmed El Shafie , Tamer Khattab
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