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相关论文: Inference for Multiple Change-points in Linear and…

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A new approach to detect change points based on differential smoothing and multiple testing is presented for long data sequences modeled as piecewise constant functions plus stationary ergodic Gaussian noise. As an application of the STEM…

统计理论 · 数学 2019-11-20 Dan Cheng , Zhibing He , Armin Schwartzman

A common approach to detect multiple changepoints is to minimise a measure of data fit plus a penalty that is linear in the number of changepoints. This paper shows that the general finite sample behaviour of such a method can be related to…

统计理论 · 数学 2022-08-15 Chao Zheng , Idris A. Eckley , Paul Fearnhead

We consider Bayesian analysis of a class of multiple changepoint models. While there are a variety of efficient ways to analyse these models if the parameters associated with each segment are independent, there are few general approaches…

统计计算 · 统计学 2009-10-19 Paul Fearnhead , Zhen Liu

For sequentially observed functional data exhibiting multiple change points in the mean function, we establish consistency results for the estimated number and locations of the change points based on the norm of the functional CUSUM process…

统计理论 · 数学 2020-01-03 Gregory Rice , Chi Zhang

We investigate the behavior of the Generalized Likelihood Ratio Test (GLRT) (Fan, Zhang and Zhang [Ann. Statist. 29 (2001) 153-193]) for time varying coefficient models where the regressors and errors are non-stationary time series and can…

统计理论 · 数学 2014-02-05 Zhou Zhou

To segment a sequence of independent random variables at an unknown number of change-points, we introduce new procedures that are based on thresholding the likelihood ratio statistic. We also study confidence regions based on the likelihood…

统计理论 · 数学 2018-10-16 Xiao Fang , Jian Li , David Siegmund

Model checking is essential to evaluate the adequacy of statistical models and the validity of inferences drawn from them. Particularly, hierarchical models such as latent Gaussian models (LGMs) pose unique challenges as it is difficult to…

统计方法学 · 统计学 2023-07-25 Rafael Cabral , David Bolin , Håvard Rue

Gaussian processes (GP) for machine learning have been studied systematically over the past two decades and they are by now widely used in a number of diverse applications. However, GP kernel design and the associated hyper-parameter…

机器学习 · 计算机科学 2020-10-28 Feng Yin , Lishuo Pan , Xinwei He , Tianshi Chen , Sergios Theodoridis , Zhi-Quan , Luo

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 study the problem of detecting change points (CPs) that are characterized by a subset of dimensions in a multi-dimensional sequence. A method for detecting those CPs can be formulated as a two-stage method: one for selecting relevant…

机器学习 · 统计学 2018-03-05 Yuta Umezu , Ichiro Takeuchi

Techniques have been proposed to estimate unknown antenna impedance due to time-varying near-field loading conditions at multiple-input single-output (MISO) receivers. However, it remains unclear when a change occurs and impedance…

信息论 · 计算机科学 2022-11-08 Shaohan Wu

The problem of quantifying uncertainty about the locations of multiple change points by means of confidence intervals is addressed. The asymptotic distribution of the change point estimators obtained as the local maximisers of moving sum…

统计方法学 · 统计学 2022-06-20 Haeran Cho , Claudia Kirch

This paper studies methods for testing and estimating change-points in the covariance structure of a high-dimensional linear time series. The assumed framework allows for a large class of multivariate linear processes (including vector…

统计理论 · 数学 2020-01-14 Ansgar Steland

The problem of quickest detection of a change in the distribution of a sequence of independent observations is considered. The pre-change observations are assumed to be stationary with a known distribution, while the post-change…

信号处理 · 电气工程与系统科学 2022-10-19 Yuchen Liang , Alexander G. Tartakovsky , Venugopal V. Veeravalli

Sequential (online) change-point detection involves continuously monitoring time-series data and triggering an alarm when shifts in the data distribution are detected. We propose an algorithm for real-time identification of alterations in…

统计方法学 · 统计学 2024-12-16 Yuhan Tian , Abolfazl Safikhani

Robust change-point detection for large-scale data streams has many real-world applications in industrial quality control, signal detection, biosurveillance. Unfortunately, it is highly non-trivial to develop efficient schemes due to three…

统计方法学 · 统计学 2021-10-18 Ruizhi Zhang , Yajun Mei , Jianjun Shi

Due to the ease of modern data collection, applied statisticians often have access to a large set of covariates that they wish to relate to some observed outcome. Generalized linear models (GLMs) offer a particularly interpretable framework…

统计计算 · 统计学 2019-05-21 Brian L. Trippe , Jonathan H. Huggins , Raj Agrawal , Tamara Broderick

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 properties are (approximately) constant for some time and then slowly start…

统计方法学 · 统计学 2015-04-03 Michael Vogt , Holger Dette

We propose a general approach for change-point detection in dynamic networks. The proposed method is model-free and covers a wide range of dynamic networks. The key idea behind our approach is to effectively utilize the network structure in…

统计方法学 · 统计学 2019-08-07 Zifeng Zhao , Li Chen , Lizhen Lin

For data segmentation in high-dimensional linear regression settings, the regression parameters are often assumed to be sparse segment-wise, which enables many existing methods to estimate the parameters locally via $\ell_1$-regularised…

统计方法学 · 统计学 2026-05-08 Haeran Cho , Tobias Kley , Housen Li