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We propose a novel and unified framework for change-point estimation in multivariate time series. The proposed method is fully nonparametric, enjoys effortless tuning and is robust to temporal dependence. One salient and distinct feature of…

统计方法学 · 统计学 2022-09-12 Zifeng Zhao , Feiyu Jiang , Xiaofeng Shao

As a common step in refining their scientific inquiry, investigators are often interested in performing some screening of a collection of given statistical hypotheses. For example, they may wish to determine whether any one of several…

统计方法学 · 统计学 2022-03-04 Adam Elder , Marco Carone , Peter Gilbert , Alex Luedtke

We propose novel methods for change-point testing for nonparametric estimators of expected shortfall and related risk measures in weakly dependent time series. We can detect general multiple structural changes in the tails of marginal…

计量经济学 · 经济学 2025-10-07 Lin Fan , Junting Duan , Peter W. Glynn , Markus Pelger

This article considers change point testing and estimation for a sequence of high-dimensional data. In the case of testing for a mean shift for high-dimensional independent data, we propose a new test which is based on $U$-statistic in Chen…

统计理论 · 数学 2021-08-10 Runmin Wang , Changbo Zhu , Stanislav Volgushev , Xiaofeng Shao

This paper describes and compares several prominent single and multiple changepoint techniques for time series data. Due to their importance in inferential matters, changepoint research on correlated data has accelerated recently.…

统计方法学 · 统计学 2021-01-07 Xueheng Shi , Colin Gallagher , Robert Lund , Rebecca Killick

In this paper, we present a general framework for testing relevant hypotheses in functional time series. Our unified approach covers one-sample, two-sample, and change point problems under contaminated observations with arbitrary sampling…

统计方法学 · 统计学 2025-08-27 Leheng Cai , Qirui Hu

We propose a location-adaptive self-normalization (SN) based test for change points in time series. The SN technique has been extensively used in change-point detection for its capability to avoid direct estimation of nuisance parameters.…

统计方法学 · 统计学 2023-08-10 Linlin Dai , Rui She

We propose a new method to construct confidence intervals for quantities that are associated with a stationary time series, which avoids direct estimation of the asymptotic variances. Unlike the existing tuning-parameter-dependent…

统计方法学 · 统计学 2010-05-13 Xiaofeng Shao

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

Determining the number of change-points is a first-step and fundamental task in change-point detection problems, as it lays the groundwork for subsequent change-point position estimation. While the existing literature offers various methods…

统计方法学 · 统计学 2026-03-31 Ao Sun , Jingyuan Liu

Score-based tests have been used to study parameter heterogeneity across many types of statistical models. This chapter describes a new self-normalization approach for score-based tests of mixed models, which addresses situations where…

统计方法学 · 统计学 2023-06-13 Ting Wang , Edgar Merkle

Graph-based methods have shown particular strengths in change-point detection (CPD) tasks for high-dimensional nonparametric settings. However, existing CPD research has rarely addressed data with repeated measurements or local group…

统计方法学 · 统计学 2025-11-25 Serim Han , Jingru Zhang , Hoseung Song

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

We consider the detection and localization of change points in the distribution of an offline sequence of observations. Based on a nonparametric framework that uses a similarity graph among observations, we propose new test statistics when…

统计方法学 · 统计学 2021-03-05 Lizhen Nie , Dan L. Nicolae

In this paper, we have established a unified framework of multistage parameter estimation. We demonstrate that a wide variety of statistical problems such as fixed-sample-size interval estimation, point estimation with error control,…

统计理论 · 数学 2013-11-05 Xinjia Chen

Very long and noisy sequence data arise from biological sciences to social science including high throughput data in genomics and stock prices in econometrics. Often such data are collected in order to identify and understand shifts in…

统计方法学 · 统计学 2016-07-15 Yue S. Niu , Ning Hao , Heping Zhang

We derive tests of stationarity for univariate time series by combining change-point tests sensitive to changes in the contemporary distribution with tests sensitive to changes in the serial dependence. The proposed approach relies on a…

统计方法学 · 统计学 2018-09-21 Axel Bücher , Jean-David Fermanian , Ivan Kojadinovic

This paper proposes a new test for a change point in the mean of high-dimensional data based on the spatial sign and self-normalization. The test is easy to implement with no tuning parameters, robust to heavy-tailedness and theoretically…

统计方法学 · 统计学 2022-06-07 Feiyu Jiang , Runmin Wang , Xiaofeng Shao

We propose a new inference framework called localized conformal prediction. It generalizes the framework of conformal prediction by offering a single-test-sample adaptive construction that emphasizes a local region around this test sample,…

统计理论 · 数学 2022-03-02 Leying Guan

The problem of change-point estimation is considered under a general framework where the data are generated by unknown stationary ergodic process distributions. In this context, the consistent estimation of the number of change-points is…

机器学习 · 统计学 2013-02-15 Azaden Khaleghi , Daniil Ryabko
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