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The paper addresses a joint sequential changepoint detection and identification/isolation problem for a general stochastic model, assuming that the observed data may be dependent and non-identically distributed, the prior distribution of…

Statistics Theory · Mathematics 2021-03-04 Alexander G. Tartakovsky

Joint detection and estimation refers to deciding between two or more hypotheses and, depending on the test outcome, simultaneously estimating the unknown parameters of the underlying distribution. This problem is investigated in a…

Signal Processing · Electrical Eng. & Systems 2019-04-19 Dominik Reinhard , Michael Fauss , Abdelhak M. Zoubir

Consider the problem on sequential change-point detection on multiple data streams. We provide the asymptotic lower bounds of the detection delays at all levels of change-point sparsity and we derive a smaller asymptotic lower bound of the…

Statistics Theory · Mathematics 2023-06-02 Jingyan Huang

We consider a unified framework of sequential change-point detection and hypothesis testing modeled by means of hidden Markov chains. One observes a sequence of random variables whose distributions are functionals of a hidden Markov chain.…

Optimization and Control · Mathematics 2013-12-13 Savas Dayanik , Kazutoshi Yamazaki

Sequential detection of independent anomalous processes among K processes is considered. At each time, only M processes can be observed, and the observations from each chosen process follow two different distributions, depending on whether…

Information Theory · Computer Science 2023-07-19 Kobi Cohen , Qing Zhao

This work investigates the sequential hypothesis testing problem with online sensor selection and sensor usage constraints. That is, in a sensor network, the fusion center sequentially acquires samples by selecting one "most informative"…

Applications · Statistics 2016-01-26 Shang Li , Xiaoou Li , Xiaodong Wang , Jingchen Liu

We revisit the problem of statistical sequence matching initiated by Unnikrishnan (TIT 2015) and derive theoretical performance guarantees for sequential tests that have bounded expected stopping times. Specifically, in this problem, one is…

Information Theory · Computer Science 2025-06-05 Lin Zhou , Qianyun Wang , Yun Wei , Jingjing Wang

This paper considers the problem of sequentially detecting a change in the joint distribution of multiple data sources under a sampling constraint. Specifically, the channels or sources generate observations that are independent over time,…

Methodology · Statistics 2024-03-26 Anamitra Chaudhuri , Georgios Fellouris , Ali Tajer

We consider the problem of sequential signal detection in a multichannel system where the number and location of signals is a priori unknown. We assume that the data in each channel are sequentially observed and follow a general non-i.i.d.…

Statistics Theory · Mathematics 2016-01-14 Georgios Fellouris , Alexander G. Tartakovsky

We consider sequential hypothesis testing based on observations which are received in groups of random size. The observations are assumed to be independent both within and between the groups. We assume that the group sizes are independent…

Methodology · Statistics 2021-10-11 Andrey Novikov , Xóchitl Itxel Popoca-Jiménez

It is frequently of interest to jointly analyze two paired sequences of multiple tests. This paper studies the problem of detecting whether there are more pairs of tests that are significant in both sequences than would be expected by…

Methodology · Statistics 2017-06-26 Sihai Dave Zhao , T. Tony Cai , Hongzhe Li

In the binary hypothesis testing problem, it is well known that sequentiality in taking samples eradicates the trade-off between two error exponents, yet implementing the optimal test requires the knowledge of the underlying distributions,…

Information Theory · Computer Science 2025-01-07 Ching-Fang Li , I-Hsiang Wang

We develop a mixture procedure to monitor parallel streams of data for a change-point that affects only a subset of them, without assuming a spatial structure relating the data streams to one another. Observations are assumed initially to…

Statistics Theory · Mathematics 2013-05-10 Yao Xie , David Siegmund

In many applications one is interested to detect certain (known) patterns in the mean of a process with smallest delay. Using an asymptotic framework which allows to capture that feature, we study a class of appropriate sequential…

Statistics Theory · Mathematics 2018-05-01 Ansgar Steland

Consider a large number of detectors each generating a data stream. The task is to detect online, distribution changes in a small fraction of the data streams. Previous approaches to this problem include the use of mixture likelihood ratios…

Statistics Theory · Mathematics 2016-01-20 Hock Peng Chan

This work analyzes the asymptotic performances of fully distributed sequential hypothesis testing procedures as the type-I and type-II error rates approach zero, in the context of a sensor network without a fusion center. In particular, the…

Applications · Statistics 2018-04-17 Shang Li , Xiaodong Wang

Sequential change diagnosis is the joint problem of detection and identification of a sudden and unobservable change in the distribution of a random sequence. In this problem, the common probability law of a sequence of i.i.d. random…

Probability · Mathematics 2007-10-29 Savas Dayanik , Christian Goulding , H. Vincent Poor

Independence testing is a classical statistical problem that has been extensively studied in the batch setting when one fixes the sample size before collecting data. However, practitioners often prefer procedures that adapt to the…

Machine Learning · Statistics 2025-05-21 Aleksandr Podkopaev , Patrick Blöbaum , Shiva Prasad Kasiviswanathan , Aaditya Ramdas

A novel method for sequential outlier detection in non-stationary time series is proposed. The method tests the null hypothesis of ``no outlier'' at each time point, addressing the multiple testing problem by bounding the error probability…

Statistics Theory · Mathematics 2025-02-26 Florian Heinrichs , Patrick Bastian , Holger Dette

We propose a general and flexible procedure for testing multiple hypotheses about sequential (or streaming) data that simultaneously controls both the false discovery rate (FDR) and false nondiscovery rate (FNR) under minimal assumptions…

Methodology · Statistics 2019-01-14 Jay Bartroff , Jinlin Song