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In this paper, we consider the problem of (multiple) change-point detection in panel data. We propose the double CUSUM statistic which utilises the cross-sectional change-point structure by examining the cumulative sums of ordered CUSUMs at…

统计方法学 · 统计学 2016-11-29 Haeran Cho

We consider the change point testing problem for high-dimensional time series. Unlike conventional approaches, where one tests whether the difference $\delta$ of the mean vectors before and after the change point is equal to zero, we argue…

统计理论 · 数学 2025-09-01 Pascal Quanz , Holger Dette

Change-point analysis is thriving in this big data era to address problems arising in many fields where massive data sequences are collected to study complicated phenomena over time. It plays an important role in processing these data by…

统计方法学 · 统计学 2022-03-23 Yi-Wei Liu , Hao Chen

Detecting abrupt changes in the mean of a time series, so-called changepoints, is important for many applications. However, many procedures rely on the estimation of nuisance parameters (like long-run variance). Under the alternative (a…

统计理论 · 数学 2018-08-14 Michal Pešta , Martin Wendler

Among the main goals in multiple change point problems are the estimation of the number and positions of the change points, as well as the regime structure in the clusters induced by those changes. The product partition model (PPM) is a…

统计方法学 · 统计学 2021-08-11 Ricardo C. Pedroso , Rosangela H. Loschi , Fernando Andrés Quintana

Conformalized multiple testing offers a model-free way to control predictive uncertainty in decision-making. Existing methods typically use only part of the available data to build score functions tailored to specific settings. We propose a…

统计方法学 · 统计学 2026-05-22 Yuyang Huo , Xiaoyang Wu , Changliang Zou , Haojie Ren

This paper introduces a concept for change-point detection based on normalized entropy as a fundamental metric, aiming to overcome the dependence of traditional entropy methods on assumptions about data distribution and absolute scales.…

应用统计 · 统计学 2025-11-18 Qingqing Song , Shaoliang Xia

This paper proposes a class of origin-smooth approximators of indicators underlying the sum-of-negative-part statistic for testing multiple inequalities. The need for simulation or bootstrap to obtain test critical values is thereby…

统计方法学 · 统计学 2012-06-27 Le-Yu Chen , Jerzy Szroeter

Unsupervised fault detection in multivariate time series plays a vital role in ensuring the stable operation of complex systems. Traditional methods often assume that normal data follow a single Gaussian distribution and identify anomalies…

机器学习 · 计算机科学 2025-07-01 Hong Liu , Xiuxiu Qiu , Yiming Shi , Miao Xu , Zelin Zang , Zhen Lei

Bayesian change-point detection, together with latent variable models, allows to perform segmentation over high-dimensional time-series. We assume that change-points lie on a lower-dimensional manifold where we aim to infer subsets of…

机器学习 · 统计学 2020-11-04 Lorena Romero-Medrano , Pablo Moreno-Muñoz , Antonio Artés-Rodríguez

Estimation of mean shift in a temporally ordered sequence of random variables with a possible existence of change-point is an important problem in many disciplines. In the available literature of more than fifty years the estimation methods…

统计方法学 · 统计学 2025-07-14 Buddhananda Banerjee , Arnab Kumar Laha

An emerging way of tackling the dimensionality issues arising in the modeling of a multivariate process is to assume that the inherent data structure can be captured by a graph. Nevertheless, though state-of-the-art graph-based methods have…

机器学习 · 统计学 2016-07-13 Andreas Loukas , Nathanael Perraudin

High-dimensional changepoint inference, adaptable to diverse alternative scenarios, has attracted significant attention in recent years. In this paper, we propose an adaptive and robust approach to changepoint testing. Specifically, by…

统计方法学 · 统计学 2025-04-29 Jixuan Liu , Long Feng , Liuhua Peng , Zhaojun Wang

Time series anomaly detection is challenging due to the complexity and variety of patterns that can occur. One major difficulty arises from modeling time-dependent relationships to find contextual anomalies while maintaining detection…

机器学习 · 计算机科学 2023-10-25 Chih-Yu Lai , Fan-Keng Sun , Zhengqi Gao , Jeffrey H. Lang , Duane S. Boning

It is quite common that the structure of a time series changes abruptly. Identifying these change points and describing the model structure in the segments between these change points is of interest. In this paper, time series data is…

统计计算 · 统计学 2019-12-18 Lijing Ma , Andrew Grant , Georgy Sofronov

This paper proposes a new minimum description length procedure to detect multiple changepoints in time series data when some times are a priori thought more likely to be changepoints. This scenario arises with temperature time series…

统计方法学 · 统计学 2019-05-14 Yingbo Li , Robert Lund , Anuradha Hewaarachchi

From a sequence of similarity networks, with edges representing certain similarity measures between nodes, we are interested in detecting a change-point which changes the statistical property of the networks. After the change, a subset of…

统计理论 · 数学 2016-12-06 Shanshan Cao , Yao Xie

Change-point detection methods are proposed for the case of temporary failures, or transient changes, when an unexpected disorder is ultimately followed by a readjustment and return to the initial state. A base distribution of the…

统计理论 · 数学 2021-12-14 Baron Michael , Malov Sergey

Time series segmentation aims to identify potential change-points in a sequence of temporally dependent data, so that the original sequence can be partitioned into several homogeneous subsequences. It is useful for modeling and predicting…

统计计算 · 统计学 2024-04-12 Shubo Sun , Zifeng Zhao , Feiyu Jiang , Xiaofeng Shao

Multivariate Time Series (MVTS) anomaly detection is a long-standing and challenging research topic that has attracted tremendous research effort from both industry and academia recently. However, a careful study of the literature makes us…

机器学习 · 计算机科学 2023-11-02 Mohamed El Amine Sehili , Zonghua Zhang