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We propose a method that performs anomaly detection and localisation within heterogeneous data using a pairwise undirected mixed graphical model. The data are a mixture of categorical and quantitative variables, and the model is learned…

机器学习 · 统计学 2016-07-21 Romain Laby , François Roueff , Alexandre Gramfort

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

This paper addresses the problem of detecting changes when only unnormalized pre- and post-change distributions are accessible. This situation happens in many scenarios in physics such as in ferromagnetism, crystallography,…

机器学习 · 统计学 2025-02-12 Arman Adibi , Sanjeev Kulkarni , H. Vincent Poor , Taposh Banerjee , Vahid Tarokh

The accuracy of a diagnostic test is typically characterised using the receiver operating characteristic (ROC) curve. Summarising indexes such as the area under the ROC curve (AUC) are used to compare different tests as well as to measure…

统计方法学 · 统计学 2010-12-30 Fang Yao , Radu V. Craiu , Benjamin Reiser

We consider the change-point problem for the marginal distribution of subordinated Gaussian processes that exhibit long-range dependence. The asymptotic distributions of Kolmogorov-Smirnov- and Cram\'{e}r-von Mises type statistics are…

统计理论 · 数学 2017-03-17 Johannes Tewes

The paper is about detecting changes in the parameters of certain parameterized stochastic models. We apply CUSUM (Cumulated Sums) type test statistics that are based on martingale difference sequences.

统计理论 · 数学 2014-07-22 Fanni Nedényi

We propose a non-parametric statistical procedure for detecting multiple change-points in multidimensional signals. The method is based on a test statistic that generalizes the well-known Kruskal-Wallis procedure to the multivariate…

统计方法学 · 统计学 2011-02-11 Alexandre Lung-Yut-Fong , Céline Lévy-Leduc , Olivier Cappé

In this paper we aim to assess linear relationships between the non constant variances of economic variables. The proposed methodology is based on a bootstrap cumulative sum (CUSUM) test. Simulations suggest a good behavior of the test for…

统计方法学 · 统计学 2020-03-31 Junichi Hirukawa , Hamdi Raïssi

Change point detection in covariance structures is a fundamental and crucial problem for sequential data. Under the high-dimensional setting, most of the existing research has focused on identifying change points in historical data.…

统计理论 · 数学 2026-02-02 Zhigang Bao , Kha Man Cheong , Yuji Li , Jiaxin Qiu

Change-point detection, detecting an abrupt change in the data distribution from sequential data, is a fundamental problem in statistics and machine learning. CUSUM is a popular statistical method for online change-point detection due to…

机器学习 · 计算机科学 2024-03-12 Tingnan Gong , Junghwan Lee , Xiuyuan Cheng , Yao Xie

We propose new tests to detect a change in the mean of a time series. Like many existing tests, the new ones are based on the CUSUM process. Existing CUSUM tests require an estimator of a scale parameter to make them asymptotically…

统计理论 · 数学 2008-12-18 Lajos Horváth , Zsuzsanna Horváth , Marie Hušková

The research described herewith investigates detecting change points of means and of variances in a sequence of observations. The number of change points can be divergent at certain rate as the sample size goes to infinity. We define a…

统计方法学 · 统计学 2020-03-04 Wenbiao Zhao , Xuehu Zhu , Lixing Zhu

An energy efficient distributed Change Detection scheme based on Page's CUSUM algorithm was presented in \cite{icassp}. In this paper we consider a nonparametric version of this algorithm. In the algorithm in \cite{icassp}, each sensor runs…

信息论 · 计算机科学 2009-08-17 Taposh Banerjee , Vinod Sharma

We consider a nonparametric heteroscedastic time series regression model and suggest testing procedures to detect changes in the conditional variance function. The tests are based on a sequential marked empirical process and thus combine…

统计理论 · 数学 2019-06-10 Maria Mohr , Natalie Neumeyer

In a variety of different settings cumulative sum (CUSUM) procedures have been applied for the sequential detection of structural breaks in the parameters of stochastic models. Yet their performance depends strongly on the time of change…

统计方法学 · 统计学 2013-08-07 Stefan Fremdt

We study a CUSUM (cumulative sums) procedure for the detection of changes in the means of weakly dependent time series within an abstract Hilbert space framework. We use an empirical projection approach via a principal component…

统计理论 · 数学 2015-10-08 Leonid Torgovitski

This paper proposes a moving sum methodology for detecting multiple change points in high-dimensional time series under a factor model, where changes are attributed to those in loadings as well as emergence or disappearance of factors. We…

统计方法学 · 统计学 2025-07-24 Matteo Barigozzi , Haeran Cho , Lorenzo Trapani

We study online changepoint detection in the context of a linear regression model. We propose a class of heavily weighted statistics based on the CUSUM process of the regression residuals, which are specifically designed to ensure timely…

统计方法学 · 统计学 2024-02-08 Fabrizio Ghezzi , Eduardo Rossi , Lorenzo Trapani

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

The analysis of record-breaking events is of interest in fields such as climatology, hydrology or anthropology. In connection with the record occurrence, we propose three distribution-free statistics for the changepoint detection problem.…

统计方法学 · 统计学 2022-08-23 Jorge Castillo-Mateo