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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.…

Statistics Theory · Mathematics 2016-05-03 Gabriela Ciuperca

In the present paper we address the real-time detection problem of a change-point in the coefficients of a linear model with the possibility that the model errors are asymmetrical and that the explanatory variables number is large. We build…

Methodology · Statistics 2020-07-31 Gabriela Ciuperca

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…

Methodology · Statistics 2015-03-31 Holger Dette , Weichi Wu , Zhou Zhou

In this paper, we study change-point testing for high-dimensional linear models, an important problem that has not been well explored in the literature. Specifically, we propose a quadratic-form cumulative sum (CUSUM) statistic to test the…

Statistics Theory · Mathematics 2024-10-23 Zifeng Zhao , Xiaokai Luo , Zongge Liu , Daren Wang

Most of the literature on change-point analysis by means of hypothesis testing considers hypotheses of the form H0 : \theta_1 = \theta_2 vs. H1 : \theta_1 != \theta_2, where \theta_1 and \theta_2 denote parameters of the process before and…

Methodology · Statistics 2016-11-26 Holger Dette , Dominik Wied

The problem of detecting change points in the parameters of a linear regression model with errors and covariates exhibiting heteroscedasticity is considered. Asymptotic results for weighted functionals of the cumulative sum (CUSUM)…

Econometrics · Economics 2025-10-28 Lajos Horvath , Gregory Rice , Yuqian Zhao

We investigate sequential change point estimation and detection in univariate nonparametric settings, where a stream of independent observations from sub-Gaussian distributions with a common variance factor and piecewise-constant but…

Statistics Theory · Mathematics 2020-11-16 Yi Yu , Oscar Hernan Madrid Padilla , Daren Wang , Alessandro Rinaldo

In this paper, in order to test whether changes have occurred in a nonlinear parametric regression, we propose a nonparametric method based on the empirical likelihood. Firstly, we test the null hypothesis of no-change against the…

Statistics Theory · Mathematics 2014-05-22 Gabriela Ciuperca , Zahraa Salloum

The aim of online monitoring is to issue an alarm as soon as there is significant evidence in the collected observations to suggest that the underlying data generating mechanism has changed. This work is concerned with open-end,…

Statistics Theory · Mathematics 2020-07-21 Mark Holmes , Ivan Kojadinovic

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…

Methodology · Statistics 2016-11-29 Haeran Cho

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.…

Statistics Theory · Mathematics 2013-04-10 Herold Dehling , Roland Fried , Isabel García , Martin Wendler

A weakly dependent time series regression model with multivariate covariates and univariate observations is considered, for which we develop a procedure to detect whether the nonparametric conditional mean function is stable in time against…

Statistics Theory · Mathematics 2019-01-25 Maria Mohr , Natalie Neumeyer

Testing for change points in sequences of covariance matrices is an important and equally challenging problem in statistical methodology with applications in various fields. Motivated by the observation that even in cases where the ratio…

Statistics Theory · Mathematics 2026-01-14 Nina Dörnemann , Holger Dette

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…

Methodology · Statistics 2024-02-08 Fabrizio Ghezzi , Eduardo Rossi , Lorenzo Trapani

This paper considers the problem of comparing two processes with panel data. A nonparametric test is proposed for detecting a monotone change in the link between the two process distributions. The test statistic is of CUSUM type, based on…

Statistics Theory · Mathematics 2011-05-04 Denys Pommeret , Mohamed Boutahar , Badih Ghattas

A non parametric method based on the empirical likelihood is proposed for detecting the change in the coefficients of high-dimensional linear model where the number of model variables may increase as the sample size increases. This amounts…

Statistics Theory · Mathematics 2015-06-22 Gabriela Ciuperca , Zahraa Salloum

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…

Statistics Theory · Mathematics 2008-12-18 Lajos Horváth , Zsuzsanna Horváth , Marie Hušková

We investigate the online detection of changepoints in the distribution of a sequence of observations using degenerate U-statistic-type processes. We study weighted versions of: an ordinary, CUSUM-type scheme, a Page-CUSUM-type scheme, and…

Statistics Theory · Mathematics 2025-10-28 Cooper Boniece , Lajos Horvath , Lorenzo Trapani

The aim of sequential change-point detection is to issue an alarm when it is thought that certain probabilistic properties of the monitored observations have changed. This work is concerned with nonparametric, closed-end testing procedures…

Methodology · Statistics 2020-10-27 Ivan Kojadinovic , Ghislain Verdier

We present a robust test for change-points in time series which is based on the two-sample Hodges-Lehmann estimator. We develop new limit theory for a class of statistics based on the two-sample U-quantile processes, in the case of short…

Statistics Theory · Mathematics 2019-05-17 Herold Dehling , Roland Fried , Martin Wendler
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