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

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The ordinal patterns of a fixed number of consecutive values in a time series is the spatial ordering of these values. Counting how often a specific ordinal pattern occurs in a time series provides important insights into the properties of…

统计理论 · 数学 2025-02-06 Annika Betken , Giorgio Micali , Johannes Schmidt-Hieber

We propose a family of CUSUM-based statistics to detect the presence of changepoints in the deterministic part of the autoregressive parameter in a Random Coefficient AutoRegressive (RCA) sequence. In order to ensure the ability to detect…

统计理论 · 数学 2021-04-29 Lajos Horvath , Lorenzo Trapani

We review recent developments in detecting and estimating multiple change-points in time series models with exogenous and endogenous regressors, panel data models, and factor models. This review differs from others in multiple ways: (1) it…

计量经济学 · 经济学 2025-07-31 Otilia Boldea , Alastair R. Hall

This paper considers the problem of joint change detection and identification assuming multiple composite postchange hypotheses. We propose a multihypothesis changepoint detection-identification procedure that controls the probabilities of…

统计理论 · 数学 2021-08-12 Serguei Pergamenchtchikov , Alexander Tartakovsky , Valentin Spivak

We analyze principal component regression (PCR) in a high-dimensional error-in-variables setting with fixed design. Under suitable conditions, we show that PCR consistently identifies the unique model with minimum $\ell_2$-norm. These…

统计理论 · 数学 2023-08-28 Anish Agarwal , Devavrat Shah , Dennis Shen

The extensive emergence of big data techniques has led to an increasing interest in the development of change-point detection algorithms that can perform well in a multivariate, possibly high-dimensional setting. In the current paper, we…

统计方法学 · 统计学 2022-11-15 Andreas Anastasiou , Angelos Papanastasiou

We propose a novel approach for change-point detection and parameter learning in multivariate non-stationary time series exhibiting oscillatory behaviour. We approximate the process through a piecewise function defined by a sum of…

统计方法学 · 统计学 2026-02-02 Nicolas Bianco , Lorenzo Cappello

Detecting changes in data streams is a vital task in many applications. There is increasing interest in changepoint detection in the online setting, to enable real-time monitoring and support prompt responses and informed decision-making.…

统计方法学 · 统计学 2024-05-27 Victor K. Khamesi , Niall M. Adams , Dean A. Bodenham , Edward A. K. Cohen

While a substantial literature on structural break change point analysis exists for univariate time series, research on large panel data models has not been as extensive. In this paper, a novel method for estimating panel models with…

计量经济学 · 经济学 2021-09-24 Oualid Bada , Alois Kneip , Dominik Liebl , Tim Mensinger , James Gualtieri , Robin C. Sickles

Sequential change-point detection when the distribution parameters are unknown is a fundamental problem in statistics and machine learning. When the post-change parameters are unknown, we consider a set of detection procedures based on…

统计理论 · 数学 2017-12-06 Yang Cao , Liyan Xie , Yao Xie , Huan Xu

Discovering causal relations from observational time series without making the stationary assumption is a significant challenge. In practice, this challenge is common in many areas, such as retail sales, transportation systems, and medical…

机器学习 · 计算机科学 2024-07-11 Shanyun Gao , Raghavendra Addanki , Tong Yu , Ryan A. Rossi , Murat Kocaoglu

Whilst there are a plethora of algorithms for detecting changes in mean in univariate time-series, almost all struggle in real applications where there is autocorrelated noise or where the mean fluctuates locally between the abrupt changes…

统计方法学 · 统计学 2021-10-18 Gaetano Romano , Guillem Rigaill , Vincent Runge , Paul Fearnhead

Detecting change-points in data is challenging because of the range of possible types of change and types of behaviour of data when there is no change. Statistically efficient methods for detecting a change will depend on both of these…

机器学习 · 统计学 2024-08-29 Jie Li , Paul Fearnhead , Piotr Fryzlewicz , Tengyao Wang

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…

机器学习 · 统计学 2013-02-15 Azaden Khaleghi , Daniil Ryabko

For sequential data, a change point is a moment of abrupt regime switch in data streams. Such changes appear in different scenarios, including simpler data from sensors and more challenging video surveillance data. We need to detect…

机器学习 · 计算机科学 2025-09-03 Evgenia Romanenkova , Alexander Stepikin , Matvey Morozov , Alexey Zaytsev

This paper offers a new approach to modeling and forecasting of nonstationary time series with applications to volatility modeling for financial data. The approach is based on the assumption of local homogeneity: for every time point, there…

统计理论 · 数学 2009-06-10 Vladimir Spokoiny

This paper deals with off-line detection of change points for time series of independent observations, when the number of change points is unknown. We propose a sequential analysis like method with linear time and memory complexity. Our…

统计理论 · 数学 2015-03-13 Pierre R. Bertrand , Mehdi Fhima , Arnaud Guillin

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 propose a new, generic and flexible methodology for nonparametric function estimation, in which we first estimate the number and locations of any features that may be present in the function, and then estimate the function parametrically…

统计方法学 · 统计学 2024-12-17 Rafal Baranowski , Yining Chen , Piotr Fryzlewicz

The paper addresses a joint sequential changepoint detection and identification/isolation problem for a general stochastic model, assuming that the observed data may be dependent and non-identically distributed, the prior distribution of…

统计理论 · 数学 2021-03-04 Alexander G. Tartakovsky