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相关论文: Change point estimation based on Wilcoxon tests in…

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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 introduce a robust estimator of the location parameter for the change-point in the mean based on the Wilcoxon statistic and establish its consistency for $L_1$ near epoch dependent processes. It is shown that the consistency rate depends…

统计理论 · 数学 2017-01-10 Carina Gerstenberger

In this paper we introduce a robust to outliers Wilcoxon change-point testing procedure, for distinguishing between short-range dependent time series with a change in mean at unknown time and stationary long-range dependent time series. We…

统计方法学 · 统计学 2020-07-07 Carina Gerstenberger

We develop a testing procedure for distinguishing between a long-range dependent time series and a weakly dependent time series with change-points in the mean. In the simplest case, under the null hypothesis the time series is weakly…

统计理论 · 数学 2016-08-16 István Berkes , Lajos Horváth , Piotr Kokoszka , Qi-Man Shao

We study the detection of change-points in time series. The classical CUSUM statistic for detection of jumps in the mean is known to be sensitive to outliers. We thus propose a robust test based on the Wilcoxon two-sample test statistic.…

统计理论 · 数学 2013-04-10 Herold Dehling , Roland Fried , Isabel García , Martin Wendler

We investigate the large-sample behavior of change-point tests based on weighted two-sample U-statistics, in the case of short-range dependent data. Under some mild mixing conditions, we establish convergence of the test statistic to an…

统计理论 · 数学 2023-04-04 Herold Dehling , Kata Vuk , Martin Wendler

In this paper, change-point problems for long memory stochastic volatility models are considered. A general testing problem which includes various alternative hypotheses is discussed. Under the hypothesis of stationarity the limiting…

统计理论 · 数学 2017-06-21 Annika Betken , Rafał Kulik

We study the problem of detecting a common change point in large panel data based on a mean shift model, wherein the errors exhibit both temporal and cross-sectional dependence. A least squares based procedure is used to estimate the…

统计理论 · 数学 2019-04-26 Monika Bhattacharjee , Moulinath Banerjee , George Michailidis

This paper studies multivariate nonparametric change point localization and inference problems. The data consists of a multivariate time series with potentially short range dependence. The distribution of this data is assumed to be…

Let $(X_i)_{i=1,...,n}$ be a possibly nonstationary sequence such that $\mathscr{L}(X_i)=P_n$ if $i\leq n\theta$ and $\mathscr{L}(X_i)=Q_n$ if $i>n\theta$, where $0<\theta <1$ is the location of the change-point to be estimated. We…

统计理论 · 数学 2009-09-29 Samir Ben Hariz , Jonathan J. Wylie , Qiang Zhang

We consider the problem of constructing confidence intervals for the locations of change points in a high-dimensional mean shift model. To that end, we develop a locally refitted least squares estimator and obtain component-wise and…

统计方法学 · 统计学 2021-07-21 Abhishek Kaul , George Michailidis

This article studies estimation of a stationary autocovariance structure in the presence of an unknown number of mean shifts. Here, a Yule-Walker moment estimator for the autoregressive parameters in a dependent time series contaminated by…

统计理论 · 数学 2021-02-26 Colin Gallagher , Rebecca Killick , Robert Lund , Xueheng Shi

This paper concerns about the limiting distributions of change point estimators, in a high-dimensional linear regression time series context, where a regression object $(y_t, X_t) \in \mathbb{R} \times \mathbb{R}^p$ is observed at every…

统计理论 · 数学 2023-10-03 Haotian Xu , Daren Wang , Zifeng Zhao , Yi Yu

In the statistical inference for long range dependent time series the shape of the limit distribution typically depends on unknown parameters. Therefore, we propose to use subsampling. We show the validity of subsampling for general…

统计理论 · 数学 2016-10-20 Annika Betken , Martin Wendler

In this paper easily applicable techniques are devised for detecting changepoints in autocorrelated Gaussian sequences. Our method proceeds by sequential evaluation of a CUSUM-type test statistic, which is compared to a predefined…

概率论 · 数学 2016-02-09 W. Ellens , J. Kuhn , M. Mandjes , P. Żuraniewski

There exist several methods developed for the canonical change point problem of detecting multiple mean shifts, which search for changes over sections of the data at multiple scales. In such methods, estimation of the noise level is often…

统计方法学 · 统计学 2022-11-07 Euan T. McGonigle , Haeran Cho

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

This paper addresses the estimation of locally stationary long-range dependent processes, a methodology that allows the statistical analysis of time series data exhibiting both nonstationarity and strong dependency. A time-varying…

统计理论 · 数学 2010-11-12 Wilfredo Palma , Ricardo Olea

In this paper, an estimator of $m$ instants ($m$ is known) of abrupt changes of the parameter of long-range dependence or self-similarity is proved to satisfy a limit theorem with an explicit convergence rate for a sample of a Gaussian…

统计理论 · 数学 2008-04-28 Jean-Marc Bardet , Imen Kammoun

We address the problem of detection and estimation of one or two change-points in the mean of a series of random variables. We use the formalism of set estimation in regression: To each point of a design is attached a binary label that…

统计理论 · 数学 2018-09-07 Victor-Emmanuel Brunel
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