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Change-point detection and locally stationary time series modeling are two major approaches for the analysis of non-stationary data. The former aims to identify stationary phases by detecting abrupt changes in the dynamics of a time series…

统计方法学 · 统计学 2026-01-16 Wai Leong Ng , Xinyi Tang , Mun Lau Cheung , Jiacheng Gao , Chun Yip Yau , Holger Dette

In numerical simulations of many charged systems at the micro/nano scale, a common theme is the repeated solution of the Poisson-Boltzmann equation. This task proves challenging, if not entirely infeasible, largely due to the nonlinearity…

数值分析 · 数学 2018-08-29 Lijie Ji , Yanlai Chen , Zhenli Xu

Understanding the time-varying structure of complex temporal systems is one of the main challenges of modern time series analysis. In this paper, we show that every uniformly-positive-definite-in-covariance and sufficiently short-range…

统计理论 · 数学 2023-04-25 Xiucai Ding , Zhou Zhou

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…

统计方法学 · 统计学 2020-07-31 Gabriela Ciuperca

We consider the structural change in a class of discrete valued time series that the conditional distribution follows a one-parameter exponential family. We propose a change-point test based on the maximum likelihood estimator of the…

统计理论 · 数学 2016-03-01 Mamadou Lamine Diop , William Kengne

Piecewise growth mixture models (PGMM) are a flexible and useful class of methods for analyzing segmented trends in individual growth trajectory over time, where the individuals come from a mixture of two or more latent classes. These…

统计方法学 · 统计学 2018-10-18 Eric F Lock , Nidhi Kohli , Maitreyee Bose

In recent years, there has been an increasing demand on efficient algorithms for large scale change point detection problems. To this end, we propose seeded binary segmentation, an approach relying on a deterministic construction of…

统计方法学 · 统计学 2023-03-13 Solt Kovács , Housen Li , Peter Bühlmann , Axel Munk

Cumulative sum (CUSUM) statistics are widely used in the change point inference and identification. For the problem of testing for existence of a change point in an independent sample generated from the mean-shift model, we introduce a…

统计理论 · 数学 2021-01-05 Mengjia Yu , Xiaohui Chen

We adaptively estimate both changepoints and local outlier processes in a Bayesian dynamic linear model with global-local shrinkage priors in a novel model we call Adaptive Bayesian Changepoints with Outliers (ABCO). We utilize a…

统计方法学 · 统计学 2024-03-15 Haoxuan Wu , Toryn L. J. Schafer , David S. Matteson

This paper addresses the issue of detecting change-points in multivariate time series. The proposed approach differs from existing counterparts by making only weak assumptions on both the change-points structure across series, and the…

统计方法学 · 统计学 2014-07-14 Flore Harlé , Florent Chatelain , Cédric Gouy-Pailler , Sophie Achard

The univariate integer-valued time series has been extensively studied, but literature on multivariate integer-valued time series models is quite limited and the complex correlation structure among the multivariate integer-valued time…

统计方法学 · 统计学 2023-12-01 Weiyang Yu , Haitao Zheng

Time series anomaly detection (TSAD) is an evolving area of research motivated by its critical applications, such as detecting seismic activity, sensor failures in industrial plants, predicting crashes in the stock market, and so on. Across…

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…

机器学习 · 计算机科学 2024-01-10 Anushiya Arunan , Yan Qin , Xiaoli Li , Chau Yuen

In this paper, a new approach to bivariate modeling of autoregressive conditional duration (ACD) models is proposed. Specifically, we consider the joint modeling of durations and the number of transactions made during the spell. The…

应用统计 · 统计学 2023-06-27 Helton Saulo , Suvra Pal , Roberto Vila

In this paper, we introduce an algebraic method to construct stable and consistent univariate autoregressive (AR) models of low order for filtering and predicting nonlinear turbulent signals with memory depth. By stable, we refer to the…

统计方法学 · 统计学 2014-12-19 John Harlim , Hoon Hong , Jacob L. Robbins

We propose a location-adaptive self-normalization (SN) based test for change points in time series. The SN technique has been extensively used in change-point detection for its capability to avoid direct estimation of nuisance parameters.…

统计方法学 · 统计学 2023-08-10 Linlin Dai , Rui She

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

The problem of quickest change detection (QCD) in autoregressive (AR) models is investigated. A system is being monitored with sequentially observed samples. At some unknown time, a disturbance signal occurs and changes the distribution of…

信号处理 · 电气工程与系统科学 2023-10-16 Zhongchang Sun , Shaofeng Zou

In this paper, we study the quickest change detection with mismatched post-change models. A change point is the time instant at which the distribution of a random process changes. The objective of quickest change detection is to minimize…

统计方法学 · 统计学 2016-01-27 Jingxian Wu , Jing Yang

Penalized regression models are popularly used in high-dimensional data analysis to conduct variable selection and model fitting simultaneously. Whereas success has been widely reported in literature, their performances largely depend on…

机器学习 · 统计学 2013-12-16 Wei Sun , Junhui Wang , Yixin Fang