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In this article, a novel identification test is proposed, which can be applied to parameteric models such as Mixture of Normal (MN) distributions, Markow Switching(MS), or Structural Autoregressive (SVAR) models. In the approach, it is…

Methodology · Statistics 2022-06-09 Katarzyna Maciejowska

This paper considers non-negative integer-valued autoregressive processes where the autoregression parameter is close to unity. We consider the asymptotics of this `near unit root' situation. The local asymptotic structure of the likelihood…

Statistics Theory · Mathematics 2009-06-12 Feike C. Drost , Ramon van den Akker , Bas J. M. Werker

In this paper easily applicable techniques are devised for detecting changepoints in autocorrelated Gaussian sequences. Our method proceeds by sequential evaluation of a CUSUM-type test statistic, which is compared to a predefined…

Probability · Mathematics 2016-02-09 W. Ellens , J. Kuhn , M. Mandjes , P. Żuraniewski

In this paper the problem of retrospective change-point detection and estimation in multivariate linear models is considered. The lower bounds for the error of change-point estimation are proved in different cases (one change-point:…

Statistics Theory · Mathematics 2011-10-27 Boris Brodsky , Boris Darkhovsky

We consider the problem of detecting abrupt changes (i.e., large jump discontinuities) in the rate function of a point process. The rate function is assumed to be fully unknown, non-stationary, and may itself be a random process that…

Statistics Theory · Mathematics 2025-01-16 Anna Brandenberger , Elchanan Mossel , Anirudh Sridhar

Empirical likelihood approach is one of non-parametric statistical methods, which is applied to the hypothesis testing or construction of confidence regions for pivotal unknown quantities. This method has been applied to the case of…

Statistics Theory · Mathematics 2015-09-21 Fumiya Akashi , Yan Liu , Masanobu Taniguchi

This paper discusses change detection in SAR time-series. Firstly, several statistical properties of the coefficient of variation highlight its pertinence for change detection. Then several criteria are proposed. The coefficient of…

Data Analysis, Statistics and Probability · Physics 2020-05-19 Elise Colin Koeniguer , Jean-Marie Nicolas

In this article, we study the asymptotic behaviour of the residual autocorrelations for periodic vector autoregressive time series models (PVAR henceforth) with uncorrelated but dependent innovations (i.e., weak PVAR). We then deduce the…

Statistics Theory · Mathematics 2024-10-01 Yacouba Boubacar Mainassara , Eugen Ursu

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…

Methodology · Statistics 2012-10-19 Mathieu Sinn , Ali Ghodsi , Karsten Keller

We investigate the large-sample behavior of change-point tests based on weighted two-sample U-statistics, in the case of short-range dependent data. Under some mild mixing conditions, we establish convergence of the test statistic to an…

Statistics Theory · Mathematics 2023-04-04 Herold Dehling , Kata Vuk , Martin Wendler

The goal of the change-point detection is to discover changes of time series distribution. One of the state of the art approaches of the change-point detection are based on direct density ratio estimation. In this work we show how existing…

Machine Learning · Computer Science 2022-06-22 Mikhail Hushchyn , Andrey Ustyuzhanin

We consider a stationary linear $AR(p)$ model with zero mean. The autoregression parameters as well as the distribution function (d.f.) $G(x)$ of innovations are unknown. We consider two situations. In the first situation the observations…

Statistics Theory · Mathematics 2022-07-12 M. V. Boldin , A. R. Shabakaeva

We develop a novel asymptotic theory for local polynomial extremum estimators of time-varying parameters in a broad class of nonlinear time series models. We show the proposed estimators are consistent and follow normal distributions in…

Econometrics · Economics 2025-07-25 Dennis Kristensen , Young Jun Lee

The problem of quickest detection of a change in distribution is considered under the assumption that the pre-change distribution is known, and the post-change distribution is only known to belong to a family of distributions…

Applications · Statistics 2019-01-30 Tze Siong Lau , Wee Peng Tay , Venugopal V. Veeravalli

Change-point detection and estimation procedures have been widely developed in the literature. However, commonly used approaches in change-point analysis have mainly been focusing on detecting change-points within an entire time series…

Methodology · Statistics 2024-05-27 Chak Fung Choi , Chunxue Li , Chun Yip Yau , Zifeng Zhao

A novel sequential change detection problem is proposed, in which the goal is to not only detect but also accelerate the change. Specifically, it is assumed that the sequentially collected observations are responses to treatments selected…

Statistics Theory · Mathematics 2024-06-24 Yanglei Song , Georgios Fellouris

The purpose of this study is to provide a new methodology of how one can consistently estimate a change-point in time series data. In contrast with previous studies, the suggested methodology employs only the empirical spectral density and…

Methodology · Statistics 2016-11-22 Gyorgy H. Terdik , Stergios B. Fotopoulos , Venkata K. Jandhyala

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…

Methodology · Statistics 2026-01-14 Zhibing He , Dan Cheng , Yunpeng Zhao

A novel first-order autoregressive moving average model for analyzing discrete-time series observed at irregularly spaced times is introduced. Under Gaussianity, it is established that the model is strictly stationary and ergodic. In the…

Methodology · Statistics 2022-03-31 Cesar Ojeda , Wilfredo Palma , Susana Eyheramendy , Felipe Elorrieta

We study the problem of detecting a common change point in large panel data based on a mean shift model, wherein the errors exhibit both temporal and cross-sectional dependence. A least squares based procedure is used to estimate the…

Statistics Theory · Mathematics 2019-04-26 Monika Bhattacharjee , Moulinath Banerjee , George Michailidis