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This study considers the multivariate segmentation procedure under the assumption of the multivariate Gaussian mixture. Jensen-Shannon divergence between two multivariate Gaussian distributions is employed as a discriminator and a recursive…

统计金融 · 定量金融 2012-05-03 Aki-Hiro Sato

This paper deals with off-line detection of change points for time series of independent observations, when the number of change points is unknown. We propose a sequential analysis like method with linear time and memory complexity. Our…

统计理论 · 数学 2015-03-13 Pierre R Bertrand , Mehdi Fhima

This paper deals with off-line detection of change points for time series of independent observations, when the number of change points is unknown. We propose a sequential analysis like method with linear time and memory complexity. Our…

统计理论 · 数学 2015-03-13 Pierre R. Bertrand , Mehdi Fhima , Arnaud Guillin

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

The widespread use of machine learning algorithms calls for automatic change detection algorithms to monitor their behavior over time. As a machine learning algorithm learns from a continuous, possibly evolving, stream of data, it is…

机器学习 · 统计学 2021-06-29 Lang Liu , Joseph Salmon , Zaid Harchaoui

We consider the problem of uncertainty quantification in change point regressions, where the signal can be piecewise polynomial of arbitrary but fixed degree. That is we seek disjoint intervals which, uniformly at a given confidence level,…

统计方法学 · 统计学 2024-12-12 Shakeel Gavioli-Akilagun , Piotr Fryzlewicz

Statistical methods for automatically identifying dependent word pairs (i.e. dependent bigrams) in a corpus of natural language text have traditionally been performed using asymptotic tests of significance. This paper suggests that Fisher's…

cmp-lg · 计算机科学 2008-02-03 Ted Pedersen

We propose a novel and unified framework for change-point estimation in multivariate time series. The proposed method is fully nonparametric, enjoys effortless tuning and is robust to temporal dependence. One salient and distinct feature of…

统计方法学 · 统计学 2022-09-12 Zifeng Zhao , Feiyu Jiang , Xiaofeng Shao

This paper considers a sequence of random variables generated according to a common distribution. The distribution might undergo periods of transient changes at an unknown set of time instants, referred to as change-points. The objective is…

信息论 · 计算机科学 2018-04-26 Javad Heydari , Ali Tajer

It is quite common that the structure of a time series changes abruptly. Identifying these change points and describing the model structure in the segments between these change points is of interest. In this paper, time series data is…

统计计算 · 统计学 2019-12-18 Lijing Ma , Andrew Grant , Georgy Sofronov

This paper introduces a feasible and practical Bayesian method for unit root testing in financial time series. We propose a convenient approximation of the Bayes factor in terms of the Bayesian Information Criterion as a straightforward and…

计量经济学 · 经济学 2021-02-23 Magris Martin , Iosifidis Alexandros

The task of monitoring for a change in the mean of a sequence of Bernoulli random variables has been widely studied. However most existing approaches make at least one of the following assumptions, which may be violated in many real-world…

统计计算 · 统计学 2015-05-08 Gordon J. Ross , Dimitris K. Tasoulis , Niall M. Adams

To segment a sequence of independent random variables at an unknown number of change-points, we introduce new procedures that are based on thresholding the likelihood ratio statistic. We also study confidence regions based on the likelihood…

统计理论 · 数学 2018-10-16 Xiao Fang , Jian Li , David Siegmund

Change-point processes are one flexible approach to model long time series. We propose a method to uncover which model parameter truly vary when a change-point is detected. Given a set of breakpoints, we use a penalized likelihood approach…

计量经济学 · 经济学 2024-02-09 Arnaud Dufays , Aristide Houndetoungan , Alain Coën

Detection systems rely more and more on on-line or off-line comparison of detected signals with basis signals in order to determine the characteristics of the impinging particles. Unfortunately, these comparisons are very sensitive to the…

核实验 · 物理学 2009-06-16 P. Desesquelles , T. M. H. Ha , A. Korichi , F. Le Blanc , A. Olariu , C. M. Petrache

New fast estimation methods stemming from control theory lead to a fresh look at time series, which bears some resemblance to "technical analysis". The results are applied to a typical object of financial engineering, namely the forecast of…

应用统计 · 统计学 2009-03-23 Michel Fliess , Cédric Join

This paper studies the change point problem for a general parametric, univariate or multivariate family of distributions. An information theoretic procedure is developed which is based on general divergence measures for testing the…

统计理论 · 数学 2014-03-26 Apostolos Batsidis , Nirian Martín , Leandro Pardo , Konstantinos Zografos

We introduce a method---called Fisher exact scanning (FES)---for testing and identifying variable dependency that generalizes Fisher's exact test on $2\times 2$ contingency tables to $R\times C$ contingency tables and continuous sample…

统计方法学 · 统计学 2017-05-03 Li Ma , Jialiang Mao

This paper examines the problem of testing whether a discrete time-series vector contains a periodic signal or is merely noise. To do this we examine the stochastic behaviour of the maximum intensity of the observed time-series vector and…

统计计算 · 统计学 2021-09-14 Ben O'Neill

This article proposes an estimation method to detect breakpoints for linear time series models with their parameters that jump scarcely. Its basic idea owes the group LASSO (group least absolute shrinkage and selection operator). The method…

计量经济学 · 经济学 2022-02-08 Mikio Ito
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