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相关论文: Nonparametric Sequential Change-point Detection on…

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Suppose a process yields independent observations whose distributions belong to a family parameterized by \theta\in\Theta. When the process is in control, the observations are i.i.d. with a known parameter value \theta_0. When the process…

统计理论 · 数学 2007-06-13 Gary Lorden , Moshe Pollak

Time-varying random objects have been increasingly encountered in modern data analysis. Moreover, in a substantial number of these applications, periodic behaviour of the random objects has been observed. We develop a novel procedure to…

统计方法学 · 统计学 2025-08-27 Jiazhen Xu , Andrew T. A. Wood , Tao Zou

Most studies in real time change-point detection either focus on the linear model or use the CUSUM method under classical assumptions on model errors. This paper considers the sequential change-point detection in a nonlinear quantile model.…

统计理论 · 数学 2016-05-03 Gabriela Ciuperca

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

A restrictive assumption in change point analysis is "stationarity under the null hypothesis of no change-point", which is crucial for asymptotic theory but not very realistic from a practical point of view. For example, if change point…

统计方法学 · 统计学 2018-02-01 Holger Dette , Weichi Wu , Zhou Zhou

Change-point detection (CPD) aims to detect abrupt changes over time series data. Intuitively, effective CPD over multivariate time series should require explicit modeling of the dependencies across input variables. However, existing CPD…

机器学习 · 计算机科学 2020-09-15 Ruohong Zhang , Yu Hao , Donghan Yu , Wei-Cheng Chang , Guokun Lai , Yiming Yang

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

We study sequential change-point detection for spatio-temporal point processes, where actionable detection requires not only identifying when a distributional change occurs but also localizing where it manifests in space. While classical…

统计方法学 · 统计学 2026-02-05 Wenbin Zhou , Liyan Xie , Shixiang Zhu

As a new method for detecting change-points in high-resolution time series, we apply Maximum Mean Discrepancy to the distributions of ordinal patterns in different parts of a time series. The main advantage of this approach is its…

统计方法学 · 统计学 2012-10-19 Mathieu Sinn , Ali Ghodsi , Karsten Keller

Given a heterogeneous time-series sample, the objective is to find points in time (called change points) where the probability distribution generating the data has changed. The data are assumed to have been generated by arbitrary unknown…

机器学习 · 统计学 2015-05-13 Azadeh Khaleghi , Daniil Ryabko

We develop a mixture procedure to monitor parallel streams of data for a change-point that affects only a subset of them, without assuming a spatial structure relating the data streams to one another. Observations are assumed initially to…

统计理论 · 数学 2013-05-10 Yao Xie , David Siegmund

We present a new non-parametric statistic, called the weighed $\ell_2$ divergence, based on empirical distributions for sequential change detection. We start by constructing the weighed $\ell_2$ divergence as a fundamental building block…

统计理论 · 数学 2021-02-25 Liyan Xie , Yao Xie

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

We present algorithms for nonparametric regression in settings where the data are obtained sequentially. While traditional estimators select bandwidths that depend upon the sample size, for sequential data the effective sample size is…

统计方法学 · 统计学 2012-07-03 Haijie Gu , John Lafferty

In this work, we propose a non-parametric and robust change detection algorithm to detect multiple change points in time series data under contamination. The contamination model is sufficiently general, in that, the most common model used…

统计方法学 · 统计学 2022-06-24 Sujay Bhatt , Guanhua Fang , Ping Li

A novel method for sequential outlier detection in non-stationary time series is proposed. The method tests the null hypothesis of ``no outlier'' at each time point, addressing the multiple testing problem by bounding the error probability…

统计理论 · 数学 2025-02-26 Florian Heinrichs , Patrick Bastian , Holger Dette

A method for change point detection is proposed. We consider a univariate sequence of independent random variables with piecewise constant expectation and variance, apart from which the distribution may vary periodically. We aim to detect…

统计方法学 · 统计学 2021-06-23 Michael Messer

Changepoint detection identifies times when the generative process of a time series changes, with applications in healthcare, cybersecurity, and finance. In multivariate settings, changes in cross-variable and temporal dependence are…

统计方法学 · 统计学 2026-05-11 Victor K. Khamesi , Edward A. K. Cohen , Niall M. Adams , Dean A. Bodenham

Classifier predictions often rely on the assumption that new observations come from the same distribution as training data. When the underlying distribution changes, so does the optimal classification rule, and performance may degrade. We…

统计方法学 · 统计学 2021-09-01 Ciaran Evans , Max G'Sell

An important assumption in the work on testing for structural breaks in time series consists in the fact that the model is formulated such that the stochastic process under the null hypothesis of "no change-point" is stationary. This…

统计方法学 · 统计学 2015-03-31 Holger Dette , Weichi Wu , Zhou Zhou