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This paper investigates change-point of variance in panel data models with time series of $\alpha$-mixing. Based on the cumulative sum (CUSUM) method and the individual differences, we construct a CUSUM test for panel data models to detect…

统计方法学 · 统计学 2026-03-16 Wenzhi Yang , Yueting Xu , Xiaoping Shi , Qiong Li

This article considers change point testing and estimation for a sequence of high-dimensional data. In the case of testing for a mean shift for high-dimensional independent data, we propose a new test which is based on $U$-statistic in Chen…

统计理论 · 数学 2021-08-10 Runmin Wang , Changbo Zhu , Stanislav Volgushev , Xiaofeng Shao

Discrimination between non-stationarity and long-range dependency is a difficult and long-standing issue in modelling financial time series. This paper uses an adaptive spectral technique which jointly models the non-stationarity and…

统计金融 · 定量金融 2019-02-12 Nick James , Roman Marchant , Richard Gerlach , Sally Cripps

We treat the problem of testing independence between m continuous variables when m can be larger than the available sample size n. We consider three types of test statistics that are constructed as sums or sums of squares of pairwise rank…

统计理论 · 数学 2016-12-05 Dennis Leung , Mathias Drton

This paper considers the problem of testing temporal homogeneity of $p$-dimensional population mean vectors from the repeated measurements of $n$ subjects over $T$ times. To cope with the challenges brought by high-dimensional longitudinal…

统计方法学 · 统计学 2016-08-29 Ping-Shou Zhong , Jun Li

Linear relations, containing measurement errors in input and output data, are considered. Parameters of these so-called errors-in-variables models can change at some unknown moment. The aim is to test whether such an unknown change has…

统计理论 · 数学 2020-01-22 Michal Pešta

We consider the change-point detection in multivariate continuous and integer valued time series. We propose a Wald-type statistic based on the estimator performed by a general contrast function; which can be constructed from the…

统计理论 · 数学 2021-04-29 Mamadou Lamine Diop , William Kengne

Change point detection is a crucial aspect of analyzing time series data, as the presence of a change point indicates an abrupt and significant change in the process generating the data. While many algorithms for the problem of change point…

机器学习 · 计算机科学 2023-05-23 Mario Krause

This article considers testing for mean-level shifts in functional data. The class of the famous Darling-Erd\H{o}s-type cumulative sums (CUSUM) procedures is extended to functional time series under short range dependence conditions which…

统计理论 · 数学 2016-02-26 Leonid Torgovitski

In the common time series model $X_{i,n} = \mu (i/n) + \varepsilon_{i,n}$ with non-stationary errors we consider the problem of detecting a significant deviation of the mean function $\mu$ from a benchmark $g (\mu )$ (such as the initial…

统计理论 · 数学 2020-05-25 Holger Dette , Florian Heinrichs

Measures of linear dependence (coherence) and nonlinear dependence (phase synchronization) between any number of multivariate time series are defined. The measures are expressed as the sum of lagged dependence and instantaneous dependence.…

统计方法学 · 统计学 2007-11-12 Roberto D. Pascual-Marqui

There exist several methods developed for the canonical change point problem of detecting multiple mean shifts, which search for changes over sections of the data at multiple scales. In such methods, estimation of the noise level is often…

统计方法学 · 统计学 2022-11-07 Euan T. McGonigle , Haeran Cho

This article considers a nonparametric method for detecting change points in non-stationary time series. The proposed method will divide the time series into several segments so that between two adjacent segments, the normalized spectral…

统计理论 · 数学 2020-11-05 Zixiang Guan , Gemai Chen

We consider the problem of estimating the common time of a change in the mean parameters of panel data when dependence is allowed between the panels in the form of a common factor. A CUSUM type estimator is proposed, and we establish first…

统计理论 · 数学 2015-03-17 Lajos Horváth , Marie Hušková , Gregory Rice , Jia Wang

New procedures for detecting a change in the cross-sectional mean of panel data are proposed. The procedures rely on estimating nuisance parameters using certain cross-sectional means across panels using a weighted least squares regression.…

统计方法学 · 统计学 2026-05-07 Charl Pretorius , Heinrich Roodt

In this paper, a robust non-parametric measure of statistical dependence, or correlation, between two random variables is presented. The proposed coefficient is a permutation-like statistic that quantifies how much the observed sample S_n :…

统计方法学 · 统计学 2020-07-27 Rami Mahdi

We consider estimation of high-dimensional long-run covariance matrices for time series with nonconstant means, a setting in which conventional estimators can be severely biased. To address this difficulty, we propose a difference-based…

统计方法学 · 统计学 2026-03-19 Yanhong Liu , Fengyi Song , Long Feng

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

We develop inference procedures robust to general forms of weak dependence. The procedures utilize test statistics constructed by resampling in a manner that does not depend on the unknown correlation structure of the data. We prove that…

计量经济学 · 经济学 2021-08-26 Michael P. Leung

We propose a new nonparametric test for the supposition of independence between two continuous random variables. The test is based on the size of the longest increasing subsequence of a random permutation. We identified the independence…

统计方法学 · 统计学 2015-03-13 Jesus E. Garcia , Veronica A. Gonzalez-Lopez