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In standardized educational testing, test items are reused in multiple test administrations. To ensure the validity of test scores, the psychometric properties of items should remain unchanged over time. In this paper, we consider the…

应用统计 · 统计学 2021-10-26 Yunxiao Chen , Yi-Hsuan Lee , Xiaoou Li

Many time series exhibit changes both in level and in variability. Generally, it is more important to detect a change in the level, and changing or smoothly evolving variability can confound existing tests. This paper develops a framework…

统计理论 · 数学 2016-12-09 Tomasz Gorecki , Lajos Horvath , Piotr Kokoszka

The problem of sequential change diagnosis is considered, where observations are obtained on-line, an abrupt change occurs in their distribution, and the goal is to quickly detect the change and accurately identify the post-change…

统计理论 · 数学 2022-11-24 Austin Warner , Georgios Fellouris

In a statistical analysis in Particle Physics, nuisance parameters can be introduced to take into account various types of systematic uncertainties. The best estimate of such a parameter is often modeled as a Gaussian distributed variable…

数据分析、统计与概率 · 物理学 2019-02-25 Glen Cowan

The problem of identifying change points in high-dimensional Gaussian graphical models (GGMs) in an online fashion is of interest, due to new applications in biology, economics and social sciences. The offline version of the problem, where…

统计理论 · 数学 2020-03-18 Hossein Keshavarz , George Michailidis

This article carries out a large dimensional analysis of standard regularized discriminant analysis classifiers designed on the assumption that data arise from a Gaussian mixture model with different means and covariances. The analysis…

The CUSUM procedure is known to be optimal for detecting a change in distribution under a minimax scenario, whereas the Shiryaev-Roberts procedure is optimal for detecting a change that occurs at a distant time horizon. As a simpler…

统计计算 · 统计学 2011-09-15 George V. Moustakides , Aleksey S. Polunchenko , Alexander G. Tartakovsky

This paper develops a novel sequential Monte Carlo (SMC) approach for joint state and parameter estimation that can deal efficiently with abruptly changing parameters which is a common case when tracking maneuvering targets. The approach…

统计计算 · 统计学 2015-10-12 Christopher Nemeth , Paul Fearnhead , Lyudmila Mihaylova

Cross-level interactions among fixed effects in linear mixed models (also known as multilevel models) are often complicated by the variances stemming from random effects and residuals. When these variances change across clusters, tests of…

统计方法学 · 统计学 2022-03-18 Ting Wang , Edgar C. Merkle , Joaquin A. Anguera , Brandon M. Turner

We address the problem of quickest change detection in Markov processes with unknown transition kernels. The key idea is to learn the conditional score $\nabla_{\mathbf{y}} \log p(\mathbf{y}|\mathbf{x})$ directly from sample pairs $(…

机器学习 · 计算机科学 2025-11-07 Wuxia Chen , Taposh Banerjee , Vahid Tarokh

Online detection of changes in stochastic systems, referred to as sequential change detection or quickest change detection, is an important research topic in statistics, signal processing, and information theory, and has a wide range of…

统计理论 · 数学 2021-04-12 Liyan Xie , Shaofeng Zou , Yao Xie , Venugopal V. Veeravalli

Quickest change detection (QCD) is a fundamental problem in many applications. Given a sequence of measurements that exhibits two different distributions around a certain flipping point, the goal is to detect the change in distribution…

信息论 · 计算机科学 2020-01-23 Ahmed Badawy , Ahmed El Shafie , Tamer Khattab

We introduce a framework for online changepoint detection and simultaneous model learning which is applicable to highly parametrized models, such as deep neural networks. It is based on detecting changepoints across time by sequentially…

机器学习 · 计算机科学 2020-10-08 Michalis K. Titsias , Jakub Sygnowski , Yutian Chen

In this paper, we propose a class of monitoring statistics for a mean shift in a sequence of high-dimensional observations. Inspired by the recent U-statistic based retrospective tests developed by Wang et al.(2019) and Zhang et al.(2020),…

统计方法学 · 统计学 2021-01-19 Teng Wu , Runmin Wang , Hao Yan , Xiaofeng Shao

This paper develops a consistent series-based specification test for semiparametric panel data models with fixed effects. The test statistic resembles the Lagrange Multiplier (LM) test statistic in parametric models and is based on a…

计量经济学 · 经济学 2019-09-13 Ivan Korolev

An aspect of interest in surveillance of diseases is whether the survival time distribution changes over time. By following data in health registries over time, this can be monitored, either in real time or retrospectively. With relevant…

应用统计 · 统计学 2025-03-10 Jimmy Huy Tran , Jan Terje Kvaløy , Hartwig Kørner

Neural networks are powerful predictive models, but they provide little insight into the nature of relationships between predictors and outcomes. Although numerous methods have been proposed to quantify the relative contributions of input…

统计方法学 · 统计学 2023-01-30 Francesca Mandel , Ian Barnett

Binomial time series in which the logit of the probability of success is modelled as a linear function of observed regressors and a stationary latent Gaussian process are considered. Score tests are developed to first test for the existence…

统计理论 · 数学 2016-06-06 W. T. M. Dunsmuir , J. Y. He

We argue for supplementing the process of training a prediction algorithm by setting up a scheme for detecting the moment when the distribution of the data changes and the algorithm needs to be retrained. Our proposed schemes are based on…

机器学习 · 计算机科学 2021-02-23 Vladimir Vovk , Ivan Petej , Ilia Nouretdinov , Ernst Ahlberg , Lars Carlsson , Alex Gammerman

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