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In this article, we consider change point inference for high dimensional linear models. For change point detection, given any subgroup of variables, we propose a new method for testing the homogeneity of corresponding regression…

统计方法学 · 统计学 2024-01-17 Bin Liu , Xinsheng Zhang , Yufeng Liu

A method for change point detection is proposed. We consider a univariate sequence of independent random variables with piecewise constant expectation and variance, apart from which the distribution may vary periodically. We aim to detect…

统计方法学 · 统计学 2021-06-23 Michael Messer

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…

统计理论 · 数学 2020-11-16 Yi Yu , Oscar Hernan Madrid Padilla , Daren Wang , Alessandro Rinaldo

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

Change-point models are widely used by statisticians to model drastic changes in the pattern of observed data. Least squares/maximum likelihood based estimation of change-points leads to curious asymptotic phenomena. When the change-point…

统计理论 · 数学 2015-10-20 Rui Song , Moulinath Banerjee , Michael R. Kosorok

We propose TrendSegment, a methodology for detecting multiple change-points corresponding to linear trend changes in one dimensional data. A core ingredient of TrendSegment is a new Tail-Greedy Unbalanced Wavelet transform: a conditionally…

统计方法学 · 统计学 2023-01-09 Hyeyoung Maeng , Piotr Fryzlewicz

We consider change point detection for the volatility in second order linear parabolic stochastic partial differential equations based on high frequency spatio-temporal data. We give a test statistic to detect changes in the volatility…

统计理论 · 数学 2025-12-02 Yozo Tonaki , Yusuke Kaino , Masayuki Uchida

We address the problem of detection and estimation of one or two change-points in the mean of a series of random variables. We use the formalism of set estimation in regression: To each point of a design is attached a binary label that…

统计理论 · 数学 2018-09-07 Victor-Emmanuel Brunel

We consider detecting the evolutionary oscillatory pattern of a signal when it is contaminated by non-stationary noises with complexly time-varying data generating mechanism. A high-dimensional dense progressive periodogram test is proposed…

统计方法学 · 统计学 2023-07-20 Hau-Tieng Wu , Zhou Zhou

Change-point detection studies the problem of detecting the changes in the underlying distribution of the data stream as soon as possible after the change happens. Modern large-scale, high-dimensional, and complex streaming data call for…

统计理论 · 数学 2023-06-05 Haoyun Wang , Yao Xie

We consider offline detection of a single changepoint in binary and count time-series. We compare exact tests based on the cumulative sum (CUSUM) and the likelihood ratio (LR) statistics, and a new proposal that combines exact two-sample…

统计方法学 · 统计学 2020-08-21 Shyamal K. De , Soumendu Sundar Mukherjee

This paper describes and compares several prominent single and multiple changepoint techniques for time series data. Due to their importance in inferential matters, changepoint research on correlated data has accelerated recently.…

统计方法学 · 统计学 2021-01-07 Xueheng Shi , Colin Gallagher , Robert Lund , Rebecca Killick

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)…

计量经济学 · 经济学 2025-10-28 Lajos Horvath , Gregory Rice , Yuqian Zhao

We propose a Bayesian method to detect change points for functional data. We extract the features of a sequence of functional data by the discrete wavelet transform (DWT), and treat each sequence of feature independently. We believe there…

统计方法学 · 统计学 2018-08-06 Xiuqi Li , Subhashis Ghosal

This work explores use of novel advances in best subset selection for regression modelling via continuous optimization for offline change point detection and estimation in univariate Gaussian data sequences. The approach exploits…

统计方法学 · 统计学 2024-07-08 Hans Reimann , Sarat Moka , Georgy Sofronov

The problem of detecting changes with multiple sensors has received significant attention in the literature. In many practical applications such as critical infrastructure monitoring and modeling of disease spread, a useful change…

信息论 · 计算机科学 2019-02-19 Mehmet Necip Kurt , Xiaodong Wang

We study the maximum score statistic to detect and estimate local signals in the form of change-points in the level, slope, or other property of a sequence of observations, and to segment the sequence when there appear to be multiple…

统计理论 · 数学 2021-11-03 Xiao Fang , David Siegmund

Business processes are continuously evolving in order to adapt to changes due to various factors. One type of process changes are branching frequency changes, which are related to changes in frequencies between different options when there…

信息检索 · 计算机科学 2021-06-25 Yang Lu , Qifan Chen , Simon Poon

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…

统计理论 · 数学 2020-12-16 Josua Gösmann , Christina Stoehr , Johannes Heiny , Holger Dette

In this paper we study the theoretical properties of the simultaneous multiscale change point estimator (SMUCE) proposed by Frick et al. (2014) in regression models with dependent error processes. Empirical studies show that in this case…

统计理论 · 数学 2018-11-15 Holger Dette , Theresa Schüler , Mathias Vetter