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In this article, we consider change point inference for high dimensional linear models. For change point detection, given any subgroup of variables, we propose a new method for testing the homogeneity of corresponding regression…

统计方法学 · 统计学 2024-01-17 Bin Liu , Xinsheng Zhang , Yufeng Liu

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 present a novel scheme to boost detection power for kernel maximum mean discrepancy based sequential change-point detection procedures. Our proposed scheme features an optimal sub-sampling of the history data before the detection…

统计方法学 · 统计学 2023-01-19 Song Wei , Chaofan Huang

Recently Batsidis \textit{et al.} (2011) have presented a new procedure based on divergence measures for testing the hypothesis of the existence of a change point in exponential populations. A simulation study was carried out, in this…

统计理论 · 数学 2011-07-18 Apostolos Batsidis , Nirian Martín , Leandro Pardo , Konstantinos Zografos

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

We introduce a new framework for constructing tests of general semiparametric hypotheses which have nontrivial power on the $n^{-1/2}$ scale in every direction, and can be tailored to put substantial power on alternatives of importance. The…

统计理论 · 数学 2007-06-13 Peter J. Bickel , Ya'acov Ritov , Thomas M. Stoker

Researchers often misinterpret and misrepresent statistical outputs. This abuse has led to a large literature on modification or replacement of testing thresholds and $P$-values with confidence intervals, Bayes factors, and other devices.…

统计方法学 · 统计学 2020-10-02 Zad Rafi , Sander Greenland

Multivariate change point detection is the process of identifying distributional shifts in time-ordered data across multiple features. This task is particularly challenging when the number of features is large relative to the number of…

We propose a testing procedure based on the Wilcoxon two-sample test statistic in order to test for change-points in the mean of long-range dependent data. We show that the corresponding self-normalized test statistic converges in…

统计理论 · 数学 2014-09-10 Annika Betken

The purpose of this note is to present in details R codes to implement a non-parametric method for change-point detection. The proposed approach is validated from various perspectives using simulations. This method is a competitor to that…

应用统计 · 统计学 2025-07-10 Pierre Ailliot , N'Dèye Coumba Niass , Jean-Marc Derrien

Large volumes of spatiotemporal data, characterized by high spatial and temporal variability, may experience structural changes over time. Unlike traditional change-point problems, each sequence in this context consists of function-valued…

统计方法学 · 统计学 2025-06-12 Fengyi Song , Decai Liang , Changliang Zou

In the regime of change-point detection, a nonparametric framework based on scan statistics utilizing graphs representing similarities among observations is gaining attention due to its flexibility and good performances for high-dimensional…

统计方法学 · 统计学 2021-09-16 Hoseung Song , Hao Chen

A change point detection procedure using the method of moment estimators is proposed. The test statistics is based on a suitable $Z$-process. The asymptotic behavior of this process is established under both the null and the alternative…

统计理论 · 数学 2020-10-08 Ilia Negri , Yoichi Nishiyama

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 paper considers a sequence of random variables generated according to a common distribution. The distribution might undergo periods of transient changes at an unknown set of time instants, referred to as change-points. The objective is…

信息论 · 计算机科学 2018-04-26 Javad Heydari , Ali Tajer

While there is considerable work on change point analysis in univariate time series, more and more data being collected comes from high dimensional multivariate settings. This paper introduces the asymptotic concept of high dimensional…

统计理论 · 数学 2016-06-28 John A. D. Aston , Claudia Kirch

Handling big data has largely been a major bottleneck in traditional statistical models. Consequently, when accurate point prediction is the primary target, machine learning models are often preferred over their statistical counterparts for…

统计方法学 · 统计学 2021-04-02 Arindam Fadikar , Stefan M. Wild , Jonas Chaves-Montero

We introduce ART, a distribution-free and model-agnostic framework for changepoint detection that provides finite-sample guarantees. ART transforms independent observations into real-valued scores via a symmetric function, ensuring…

统计方法学 · 统计学 2025-01-09 Xiaolong Cui , Haoyu Geng , Guanghui Wang , Zhaojun Wang , Changliang Zou

New procedures for detecting a change in the cross-sectional mean of panel data are proposed. The procedures rely on estimating nuisance parameters using certain cross-sectional means across panels using a weighted least squares regression.…

统计方法学 · 统计学 2026-05-07 Charl Pretorius , Heinrich Roodt

Permutation tests are a distribution free way of performing hypothesis tests. These tests rely on the condition that the observed data are exchangeable among the groups being tested under the null hypothesis. This assumption is easily…

统计方法学 · 统计学 2017-12-14 Daniell Toth