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相关论文: Multisource Bayesian sequential change detection

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The problem of mixed signals occurs in many different contexts; one of the most familiar being acoustics. The forward problem in acoustics consists of finding the sound pressure levels at various detectors resulting from sound signals…

数据分析、统计与概率 · 物理学 2007-05-23 Kevin H. Knuth

Process monitoring and control requires detection of structural changes in a data stream in real time. This article introduces an efficient sequential Monte Carlo algorithm designed for learning unknown changepoints in continuous time. The…

应用统计 · 统计学 2015-09-29 Melissa J. M. Turcotte , Nicholas A. Heard

Consider the sample path of a one-dimensional diffusion for which the diffusion coefficient is given and where the drift may take on one of two values: $\mu_0$ or $\mu_1$. Suppose that the signal-to-noise ratio (defined as the difference…

最优化与控制 · 数学 2023-11-02 Philip Ernst , Hongwei Mei

Given a Wiener process with unknown and unobservable drift, we try to estimate this drift as effectively but also as quickly as possible, in the presence of a quadratic penalty for the estimation error and of a fixed, positive cost per unit…

统计理论 · 数学 2019-05-24 Erik Ekström , Ioannis Karatzas , Juozas Vaicenavicius

This paper proposes a new minimum description length procedure to detect multiple changepoints in time series data when some times are a priori thought more likely to be changepoints. This scenario arises with temperature time series…

统计方法学 · 统计学 2019-05-14 Yingbo Li , Robert Lund , Anuradha Hewaarachchi

We propose a probabilistic formulation that enables sequential detection of multiple change points in a network setting. We present a class of sequential detection rules for certain functionals of change points (minimum among a subset), and…

统计理论 · 数学 2012-07-09 Arash Ali Amini , XuanLong Nguyen

We study a Wiener disorder problem of detecting the minimum of $N$ change-points in $N$ observation channels coupled by correlated noises. It is assumed that the observations in each dimension can have different strengths and that the…

统计理论 · 数学 2015-10-29 Hongzhong Zhang , Neofytos Rodosthenous , Olympia Hadjiliadis

In sequential change detection, existing performance measures differ significantly in the way they treat the time of change. By modeling this quantity as a random time, we introduce a general framework capable of capturing and better…

统计理论 · 数学 2008-12-18 George V. Moustakides

A random sequence having two segments being the homogeneous Markov processes is registered. Each segment has his own transition probability law and the length of the segment is unknown and random. The transition probabilities of each…

统计理论 · 数学 2020-11-17 A. Ochman-Gozdek , W. Sarnowski , K. J. Szajowski

Rapid detection of spatial events that propagate across a sensor network is of wide interest in many modern applications. In particular, in communications, radar, IoT, environmental monitoring, and biosurveillance, we may observe…

统计理论 · 数学 2023-01-18 Topi Halme , Eyal Nitzan , Visa Koivunen

We consider a small extent sensor network for event detection, in which nodes take samples periodically and then contend over a {\em random access network} to transmit their measurement packets to the fusion center. We consider two…

网络与互联网体系结构 · 计算机科学 2016-11-18 Premkumar Karumbu , Venkata K. Prasanthi M. , Anurag Kumar

The problem of detecting changes in the statistical properties of a stochastic system and time series arises in various branches of science and engineering. It has a wide spectrum of important applications ranging from machine monitoring to…

统计理论 · 数学 2012-11-19 Venugopal V. Veeravalli , Taposh Banerjee

Multivariate data sources with components of different information value seem to appear frequently in practice. Models in which the components change their homogeneity at different times are of significant importance. The fact whether any…

最优化与控制 · 数学 2020-11-04 Krzysztof Szajowski

The problem of decentralized sequential detection with conditionally independent observations is studied. The sensors form a star topology with a central node called fusion center as the hub. The sensors make noisy observations of a…

信息论 · 计算机科学 2008-12-29 Leena Zacharias , Rajesh Sundaresan

In many Phase II statistical process control (SPC) problems, the main concern is not whether a monitored process has ever changed, but whether it is currently operating at an acceptable level. This distinction is especially important when…

统计计算 · 统计学 2026-05-06 Gordon J. Ross

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

The aim of change-point detection is to identify behavioral shifts within time series data. This article focuses on scenarios where the data is derived from an inhomogeneous Poisson process or a marked Poisson process. We present a…

统计方法学 · 统计学 2024-11-07 C. Dion-Blanc , D. Hawat , E. Lebarbier , S. Robin

Modern information systems generate large volumes of data with anomalies that occur at unknown points in time and have to be detected quickly and reliably with low false alarm rates. The paper develops a general theory of quickest…

统计理论 · 数学 2023-05-16 Alexander G Tartakovsky , Valentin Spivak

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

In this paper we give a solution to the quickest drift change detection problem for a multivariate L\'evy process consisting of both continuous (Gaussian) and jump components in the Bayesian approach. We do it for a general 0-modified…

概率论 · 数学 2022-04-22 Michał Krawiec , Zbigniew Palmowski