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In this article, motivated by biosurveillance and censoring sensor networks, we investigate the problem of distributed monitoring large-scale data streams where an undesired event may occur at some unknown time and affect only a few unknown…

统计方法学 · 统计学 2016-03-30 Kun Liu , Ruizhi Zhang , Yajun Mei

We establish a simple connection between certain in-control characteristics of the CUSUM Run Length and their out-of-control counterparts. The connection is in the form of paired integral (renewal) equations. The derivation exploits Wald's…

统计方法学 · 统计学 2016-05-17 Aleksey S. Polunchenko

Detecting the emergence of an abrupt change-point is a classic problem in statistics and machine learning. Kernel-based nonparametric statistics have been used for this task which enjoy fewer assumptions on the distributions than the…

机器学习 · 计算机科学 2018-11-14 Shuang Li , Yao Xie , Hanjun Dai , Le Song

In this paper, we propose a class of monitoring statistics for a mean shift in a sequence of high-dimensional observations. Inspired by the recent U-statistic based retrospective tests developed by Wang et al.(2019) and Zhang et al.(2020),…

统计方法学 · 统计学 2021-01-19 Teng Wu , Runmin Wang , Hao Yan , Xiaofeng Shao

Change point methods are used to divide a sequence of observations into segments with different behaviour. Often, the distributional form of the observations is unknown, but the changes of interest are likely to involve shifts in location,…

统计方法学 · 统计学 2026-05-04 Gordon J. Ross

We consider the offline change point detection and localization problem in the context of piecewise stationary networks, where the observable is a finite sequence of networks. We develop algorithms involving some suitably modified CUSUM…

统计方法学 · 统计学 2020-09-07 Sharmodeep Bhattacharyya , Shirshendu Chatterjee , Soumendu Sundar Mukherjee

In this paper the asymptotic distribution of the stopping time in Page's sequential cumulative sum (CUSUM) procedure is presented. Page as well as ordinary cumulative sums are considered as detectors for changes in the mean of observations…

统计方法学 · 统计学 2013-08-07 Stefan Fremdt

Varying domains and biased datasets can lead to differences between the training and the target distributions, known as covariate shift. Current approaches for alleviating this often rely on estimating the ratio of training and target…

机器学习 · 统计学 2020-10-27 Bijan Mazaheri , Siddharth Jain , Jehoshua Bruck

A fundamental challenge in comparing two survival distributions with right censored data is the selection of an appropriate nonparametric test, as the power of standard tests like the Log rank and Wilcoxon is highly dependent on the often…

统计方法学 · 统计学 2025-10-09 Abid Hussain , Touqeer Ahmad

There has been a wide interest to extend univariate and multivariate nonparametric procedures to clustered and hierarchical data. Traditionally, parametric mixed models have been used to account for the correlation structures among the…

统计理论 · 数学 2018-03-02 Jaakko Nevalainen , Denis Larocque , Hannu Oja , Ilkka Pörsti

Change-point detection has been a classical problem in statistics and econometrics. This work focuses on the problem of detecting abrupt distributional changes in the data-generating distribution of a sequence of high-dimensional…

统计方法学 · 统计学 2021-05-20 Shubhadeep Chakraborty , Xianyang Zhang

Phase I distribution-free runs- and patterns-type control charts are proposed for monitoring the unknown target value (or location parameter) for both continuous and discrete individual observations. Our approach maintains the nominal…

应用统计 · 统计学 2025-11-18 Tung-Lung Wu

This paper introduces a new method for change detection in psychometric studies based on the recently introduced pseudo Score statistic, for which the sampling distribution under the alternative hypothesis has been determined. Our approach…

统计方法学 · 统计学 2024-08-09 Nicoletta D'Angelo

We present a simple and robust strategy for the selection of sampling points in Uncertainty Quantification. The goal is to achieve the fastest possible convergence in the cumulative distribution function of a stochastic output of interest.…

计算物理 · 物理学 2017-05-08 Enrico Camporeale , Ashutosh Agnihotri , Casper Rutjes

Out-of-distribution generalization under distributional shifts remains a critical challenge for graph neural networks. Existing methods generally adopt the Invariant Risk Minimization (IRM) framework, requiring costly environment…

机器学习 · 计算机科学 2025-10-24 Yang Qiu , Yixiong Zou , Jun Wang , Wei Liu , Xiangyu Fu , Ruixuan Li

To use control charts in practice, the in-control state usually has to be estimated. This estimation has a detrimental effect on the performance of control charts, which is often measured for example by the false alarm probability or the…

统计方法学 · 统计学 2013-07-30 Axel Gandy , Jan Terje Kvaløy

We present a new CUSUM procedure for sequentially detecting change-point in the self and mutual exciting processes, a.k.a. Hawkes networks using discrete events data. Hawkes networks have become a popular model for statistics and machine…

机器学习 · 统计学 2022-03-08 Haoyun Wang , Liyan Xie , Yao Xie , Alex Cuozzo , Simon Mak

Computationally inexpensive algorithm for detecting of dispersed transients has been developed using Cumulative Sums (CUSUM) scheme for detecting abrupt changes in statistical characteristics of the signal. The efficiency of the algorithm…

天体物理仪器与方法 · 物理学 2011-04-28 Gene Soudlenkov , Vyacheslav V. Kitaev

We consider detecting change points in the correlation structure of streaming data with minimum assumptions posed on the underlying data distribution. Detection statistics are constructed for dense and sparse change settings, based on…

统计方法学 · 统计学 2026-02-17 Jie Gao , Liyan Xie , Zhaoyuan Li

We study multiple change-points detection using multi-samples tests based on U-statistics for absolutely regular observations. Our results extend those of Ngatchou-Wandji et al. (2022) concerned with the study of one single changepoint. The…

统计理论 · 数学 2025-11-25 Joseph Ngatchou-Wandji , Echarif Elharfaoui , Michel Harel