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We first consider the sequential detection of transient signals by generalizing the moving average chart to exponential family and study the false detection probability (FDP) and power of detection (POD) in the steady state. Then windowed…

统计理论 · 数学 2022-06-24 Yanhong Wu

We develop some graph-based tests for spherical symmetry of a multivariate distribution using a method based on data augmentation. These tests are constructed using a new notion of signs and ranks that are computed along a path obtained by…

统计理论 · 数学 2024-12-10 Bilol Banerjee , Anil K. Ghosh

Distributed consensus-based controllers for optimal secondary frequency regulation of microgrids and power systems have received substantial attention in recent years. This paper provides a Lyapunov-based proof that, under a time-scale…

最优化与控制 · 数学 2020-03-11 John W. Simpson-Porco

We introduce a novel approach for detecting distribution shifts that negatively impact the performance of machine learning models in continuous production environments, which requires no access to ground truth data labels. It builds upon…

We propose statistical procedures for detecting changes in the mean of spatial random fields observed on regular grids. The proposed framework provides a general approach to change detection in spatial processes. Extending a block-based…

统计方法学 · 统计学 2025-12-15 Sheila T. Görz , Roland Fried

This paper introduces a new method for testing the statistical significance of estimated parameters in predictive regressions. The approach features a new family of test statistics that are robust to the degree of persistence of the…

计量经济学 · 经济学 2025-02-04 Jean-Yves Pitarakis

In process monitoring, it is common for measurements to be taken regularly or randomly from different spatial locations in two or three dimensions. While there are nonparametric methods for process monitoring with such spatial data to…

统计方法学 · 统计学 2025-05-06 Philipp Adämmer , Philipp Wittenberg , Christian H. Weiß , Murat Caner Testik

The scan statistic is by far the most popular method for anomaly detection, being popular in syndromic surveillance, signal and image processing, and target detection based on sensor networks, among other applications. The use of the scan…

统计方法学 · 统计学 2016-11-28 Ery Arias-Castro , Rui M. Castro , Ervin Tánczos , Meng Wang

We consider semiparametric location-scatter models for which the $p$-variate observation is obtained as $X=\Lambda Z+\mu$, where $\mu$ is a $p$-vector, $\Lambda$ is a full-rank $p\times p$ matrix and the (unobserved) random $p$-vector $Z$…

统计理论 · 数学 2012-02-24 Pauliina Ilmonen , Davy Paindaveine

In this paper we propose a new approach for sequential monitoring of a parameter of a $d$-dimensional time series, which can be estimated by approximately linear functionals of the empirical distribution function. We consider a…

统计理论 · 数学 2018-11-26 Holger Dette , Josua Gösmann

High-dimensional data has become popular due to the easy accessibility of sensors in modern industrial applications. However, one specific challenge is that it is often not easy to obtain complete measurements due to limited sensing powers…

信号处理 · 电气工程与系统科学 2022-08-26 Xinyu Zhao , Jiuyun Hu , Yajun Mei , Hao Yan

This paper investigates change point detection in state space models, in which the pre-change distribution $f^{\theta_0}$ is given, while the poster distribution $f^{\theta}$ after change is unknown. The problem is to raise an alarm as soon…

概率论 · 数学 2019-06-11 Cheng-Der Fuh

We study a rank based univariate two-sample distribution-free test. The test statistic is the difference between the average of between-group rank distances and the average of within-group rank distances. This test statistic is closely…

统计方法学 · 统计学 2018-02-28 Jamye Curry , Xin Dang , Hailin Sang

For the classical continuous-time quickest change-point detection problem it is shown that the randomized Shiryaev-Roberts-Pollak procedure is asymptotically nearly minimax-optimal (in the sense of Pollak 1985) in the class of randomized…

统计理论 · 数学 2017-04-12 Aleksey S. Polunchenko

We propose a sequential Markov chain Monte Carlo (SMCMC) algorithm to sample from a sequence of probability distributions, corresponding to posterior distributions at different times in on-line applications. SMCMC proceeds as in usual MCMC…

统计理论 · 数学 2013-08-20 Yun Yang , David B. Dunson

This paper studies the well-posedness and regularity of safe stabilizing optimization-based controllers for control-affine systems in the presence of model uncertainty. When the system dynamics contain unknown parameters, a finite set of…

最优化与控制 · 数学 2024-01-01 Pol Mestres , Kehan Long , Nikolay Atanasov , Jorge Cortés

We consider the problem of sequential change detection, where the goal is to design a scheme for detecting any changes in a parameter or functional $\theta$ of the data stream distribution that has small detection delay, but guarantees…

统计理论 · 数学 2023-11-28 Shubhanshu Shekhar , Aaditya Ramdas

Over-parameterized deep models usually over-fit to a given training distribution, which makes them sensitive to small changes and out-of-distribution samples at inference time, leading to low generalization performance. To this end, several…

计算机视觉与模式识别 · 计算机科学 2019-12-12 Saeid Asgari Taghanaki , Kumar Abhishek , Ghassan Hamarneh

Motivated by insurance applications, we propose a new approach for the validation of real-world economic scenarios. This approach is based on the statistical test developed by Chevyrev and Oberhauser (2022) and relies on the notions of…

统计金融 · 定量金融 2024-04-12 Hervé Andrès , Alexandre Boumezoued , Benjamin Jourdain

We consider the quickest change-point detection problem where the aim is to detect the onset of a pre-specified drift in "live"-monitored standard Brownian motion; the change-point is assumed unknown (nonrandom). The object of interest is…

统计理论 · 数学 2016-04-19 Aleksey S. Polunchenko