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This work delves into presenting a probabilistic method for analyzing linear process data with weakly dependent innovations, focusing on detecting change-points in the mean and estimating its spectral density. We develop a test for…

统计理论 · 数学 2024-10-01 Ramkrishna Jyoti Samanta

Change-point analysis is a flexible and computationally tractable tool for the analysis of times series data from systems that transition between discrete states and whose observables are corrupted by noise. The change-point algorithm is…

数据分析、统计与概率 · 物理学 2015-05-22 Paul A. Wiggins , Colin H. LaMont

As a new method for detecting change-points in high-resolution time series, we apply Maximum Mean Discrepancy to the distributions of ordinal patterns in different parts of a time series. The main advantage of this approach is its…

统计方法学 · 统计学 2012-10-19 Mathieu Sinn , Ali Ghodsi , Karsten Keller

One of the main challenges in identifying structural changes in stochastic processes is to carry out analysis for time series with dependency structure in a computationally tractable way. Another challenge is that the number of true change…

统计方法学 · 统计学 2017-08-02 Jie Ding , Yu Xiang , Lu Shen , Vahid Tarokh

We propose a new nonparametric procedure for the detection and estimation of multiple structural breaks in the autocovariance function of a multivariate (second- order) piecewise stationary process, which also identifies the components of…

统计理论 · 数学 2013-09-06 Philip Preuß , Ruprecht Puchstein , Holger Dette

The high structural deficient rate poses serious risks to the operation of many bridges and buildings. To prevent critical damage and structural collapse, a quick structural health diagnosis tool is needed during normal operation or…

应用统计 · 统计学 2018-12-10 Yizheng Liao , Anne S. Kiremidjian , Ram Rajagopal , Chin-Hsuing Loh

Change-point detection methods are proposed for the case of temporary failures, or transient changes, when an unexpected disorder is ultimately followed by a readjustment and return to the initial state. A base distribution of the…

统计理论 · 数学 2021-12-14 Baron Michael , Malov Sergey

This paper addresses the open problem of conducting change-point analysis for interval-valued time series data using the maximum likelihood estimation (MLE) framework. Motivated by financial time series, we analyze data that includes daily…

统计方法学 · 统计学 2024-10-15 Li-Hsien Sun , Zong-Yuan Huang , Chi-Yang Chiu , Ning Ning

Diffusion processes on trees are commonly used in evolutionary biology to model the joint distribution of continuous traits, such as body mass, across species. Estimating the parameters of such processes from tip values presents challenges…

种群与进化 · 定量生物学 2016-05-27 Cécile Ané , Lam Si Tung Ho , Sebastien Roch

Change points in real-world systems mark significant regime shifts in system dynamics, possibly triggered by exogenous or endogenous factors. These points define regimes for the time evolution of the system and are crucial for understanding…

机器学习 · 统计学 2025-09-30 Ioanna-Yvonni Tsaknaki , Fabrizio Lillo , Piero Mazzarisi

We propose a novel family of test statistics to detect the presence of changepoints in a sequence of dependent, possibly multivariate, functional-valued observations. Our approach allows to test for a very general class of changepoints,…

统计方法学 · 统计学 2023-10-10 B. Cooper Boniece , Lajos Horváth , Lorenzo Trapani

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

We examine a mean-reverting Ornstein-Uhlenbeck process that perturbs an unknown Lipschitz-continuous drift and aim to estimate the drift's value at a predetermined time horizon by sampling the path of the process. Due to the time varying…

Given a times series ${\bf Y}$ in $\mathbb{R}^n$, with a piece-wise contant mean and independent components, the twin problems of change-point detection and change-point localization respectively amount to detecting the existence of times…

This paper develops a unified and computationally efficient method for change-point estimation along the time dimension in a non-stationary spatio-temporal process. By modeling a non-stationary spatio-temporal process as a piecewise…

统计方法学 · 统计学 2023-10-09 Zifeng Zhao , Ting Fung Ma , Wai Leong Ng , Chun Yip Yau

In this paper, we propose a new generic method for detecting the number and locations of structural breaks or change points in piecewise linear models under stationary Gaussian noise. Our method transforms the change point detection problem…

统计方法学 · 统计学 2026-01-14 Zhibing He , Dan Cheng , Yunpeng Zhao

Assuming that a reflected Ornstein-Uhlenbeck state process is observed at discrete time instants, we propose generalized moment estimators to estimate all drift and diffusion parameters via the celebrated ergodic theorem. With the sampling…

统计理论 · 数学 2020-09-14 Yaozhong Hu , Yuejuan Xi

We establish the convergence rates and asymptotic distributions of the common break change-point estimators, obtained by least squares and maximum likelihood in panel data models and compare their asymptotic variances. Our model assumptions…

统计理论 · 数学 2017-08-22 Monika Bhattacharjee , Moulinath Banerjee , George Michailidis

Change point analysis has become an important research topic in many fields of applications. Several research work has been carried out to detect changes and its locations in time series data. In this paper, a nonparametric method based on…

统计方法学 · 统计学 2017-11-28 Ramadha D. Piyadi Gamage , Wei Ning

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…

统计理论 · 数学 2021-11-16 Alessandro Casini , Pierre Perron