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This article considers a nonparametric method for detecting change points in non-stationary time series. The proposed method will divide the time series into several segments so that between two adjacent segments, the normalized spectral…

Statistics Theory · Mathematics 2020-11-05 Zixiang Guan , Gemai Chen

We study the problem of covert quickest change detection in a discrete-time setting, where a sequence of observations undergoes a distributional change at an unknown time. Unlike classical formulations, we consider a covert adversary who…

Information Theory · Computer Science 2026-02-18 Amir Reza Ramtin , Philippe Nain , Don Towsley

We propose a general adaptive LASSO method for a quantile regression model. Our method is very interesting when we know nothing about the first two moments of the model error. We first prove that the obtained estimators satisfy the oracle…

Statistics Theory · Mathematics 2016-02-05 Gabriela Ciuperca

Change point detection in high dimensional data has found considerable interest in recent years. Most of the literature either designs methodology for a retrospective analysis, where the whole sample is already available when the…

Statistics Theory · Mathematics 2020-12-16 Josua Gösmann , Christina Stoehr , Johannes Heiny , Holger Dette

A generalized multisensor sequential change detection problem is considered, in which a number of (possibly correlated) sensors monitor an environment in real time, the joint distribution of their observations is determined by a global…

Applications · Statistics 2016-01-12 Georgios Fellouris , Grigory Sokolov

Time series, as frequently the case in neuroscience, are rarely stationary, but often exhibit abrupt changes due to attractor transitions or bifurcations in the dynamical systems producing them. A plethora of methods for detecting such…

Methodology · Statistics 2018-10-05 Hazem Toutounji , Daniel Durstewitz

A change point detection procedure using the method of moment estimators is proposed. The test statistics is based on a suitable $Z$-process. The asymptotic behavior of this process is established under both the null and the alternative…

Statistics Theory · Mathematics 2020-10-08 Ilia Negri , Yoichi Nishiyama

Change point tests for abrupt changes in the mean of functional data, i.e., random elements in infinite-dimensional Hilbert spaces, are either based on dimension reduction techniques, e.g., based on principal components, or directly based…

Statistics Theory · Mathematics 2026-01-23 Claudia Kirch , Hedvika Ranošová , Martin Wendler

From a sequence of similarity networks, with edges representing certain similarity measures between nodes, we are interested in detecting a change-point which changes the statistical property of the networks. After the change, a subset of…

Statistics Theory · Mathematics 2016-12-06 Shanshan Cao , Yao Xie

This paper develops change-point methods for the spectrum of a locally stationary time series. We focus on series with a bounded spectral density that change smoothly under the null hypothesis but exhibits change-points or becomes less…

Statistics Theory · Mathematics 2024-08-08 Alessandro Casini , Pierre Perron

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…

Machine Learning · Statistics 2013-02-15 Azaden Khaleghi , Daniil Ryabko

In this paper the asymptotic distribution of the stopping time in Page's sequential cumulative sum (CUSUM) procedure is presented. Page as well as ordinary cumulative sums are considered as detectors for changes in the mean of observations…

Methodology · Statistics 2013-08-07 Stefan Fremdt

Large-scale sequential data is often exposed to some degree of inhomogeneity in the form of sudden changes in the parameters of the data-generating process. We consider the problem of detecting such structural changes in a high-dimensional…

Methodology · Statistics 2016-01-15 Florencia Leonardi , Peter Bühlmann

Changepoint detection is the problem of finding abrupt or gradual changes in time series data when the distribution of the time series changes significantly. There are many sophisticated statistical algorithms for solving changepoint…

Methodology · Statistics 2020-10-14 Ritwik Bhaduri , Subhrajyoty Roy , Sankar K. Pal

By informing the onset of the degradation process, health status evaluation serves as a significant preliminary step for reliable remaining useful life (RUL) estimation of complex equipment. This paper proposes a novel temporal dynamics…

Machine Learning · Computer Science 2024-01-10 Anushiya Arunan , Yan Qin , Xiaoli Li , Chau Yuen

This paper investigates a novel offline change-point detection problem from an information-theoretic perspective. In contrast to most related works, we assume that the knowledge of the underlying pre- and post-change distributions are not…

Information Theory · Computer Science 2021-10-05 Haiyun He , Qiaosheng Zhang , Vincent Y. F. Tan

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.

Statistics Theory · Mathematics 2014-07-22 Fanni Nedényi

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…

Statistics Theory · Mathematics 2017-03-17 Johannes Tewes

In a wide range of applications, the stochastic properties of the observed time series change over time. The changes often occur gradually rather than abruptly: the prop- erties are (approximately) constant for some time and then slowly…

Methodology · Statistics 2014-03-18 Michael Vogt , Holger Dette

For a partial structural change in a linear regression model with a single break, we develop a continuous record asymptotic framework to build inference methods for the break date. We have T observations with a sampling frequency h over a…

Statistics Theory · Mathematics 2021-11-16 Alessandro Casini , Pierre Perron