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We consider a quantum system that is being continuously monitored, giving rise to a measurement signal. From such a stream of data, information needs to be inferred about the underlying system's dynamics. Here we focus on hypothesis testing…

量子物理 · 物理学 2024-03-27 Giulio Gasbarri , Matias Bilkis , Elisabet Roda-Salichs , John Calsamiglia

Assuming that data are collected sequentially from independent streams, we consider the simultaneous testing of multiple binary hypotheses under two general setups; when the number of signals (correct alternatives) is known in advance, and…

统计理论 · 数学 2017-02-14 Yanglei Song , Georgios Fellouris

We investigate the problem of jointly testing multiple hypotheses and estimating a random parameter of the underlying distribution in a sequential setup. The aim is to jointly infer the true hypothesis and the true parameter while using on…

信号处理 · 电气工程与系统科学 2024-02-02 Dominik Reinhard , Michael Fauß , Abdelhak M. Zoubir

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

The demand for improved efficiency and accuracy in vaccine safety assessments is increasing. Here, we explore the application of computer vision technologies to automate the monitoring of experimental mice for potential side effects after…

计算机视觉与模式识别 · 计算机科学 2024-04-05 Chuang Li , Shuai Shao , Willian Mikason , Rubing Lin , Yantong Liu

Variable selection for optimal treatment regime in a clinical trial or an observational study is getting more attention. Most existing variable selection techniques focused on selecting variables that are important for prediction, therefore…

统计方法学 · 统计学 2014-05-22 Ailin Fan , Wenbin Lu , Rui Song

Dynamic treatment regimes are sequential decision rules that adapt treatment according to individual time-varying characteristics and outcomes to achieve optimal effects, with applications in precision medicine, personalized…

统计方法学 · 统计学 2025-10-24 Yuanshan Gao , Yang Bai , Yifan Cui

In most medical research, the average treatment effect is used to evaluate a treatment's performance. However, precision medicine requires knowledge of individual treatment effects: What is the difference between a unit's measurement under…

统计计算 · 统计学 2022-08-30 Mingyang Cai , Stef van Buuren , Gerko Vink

In health-related experiments, treatment effects can be identified using paired data that consist of pre- and post-treatment measurements. In this framework, sequential testing strategies are widely accepted statistical tools in practice.…

统计方法学 · 统计学 2018-12-24 Li Zou , Albert Vexler , Jihnhee Yu , Hongzhi Wan

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

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.…

最优化与控制 · 数学 2013-12-13 Savas Dayanik , Kazutoshi Yamazaki

Strategic test allocation plays a major role in the control of both emerging and existing pandemics (e.g., COVID-19, HIV). Widespread testing supports effective epidemic control by (1) reducing transmission via identifying cases, and (2)…

统计方法学 · 统计学 2022-12-06 Ivana Malenica , Jeremy R. Coyle , Mark J. van der Laan , Maya L. Petersen

In this article, a general problem of sequential statistical inference for general discrete-time stochastic processes is considered. The problem is to minimize an average sample number given that Bayesian risk due to incorrect decision does…

统计理论 · 数学 2010-10-18 Andrey Novikov

Sequential methods for quantum hypothesis testing offer significant advantages over fixed-length approaches, which rely on a predefined number of state copies. Despite their potential, these methods remain underexplored for unambiguous…

量子物理 · 物理学 2025-11-26 Jordi Pérez-Guijarro , Alba Pagès-Zamora , Javier R. Fonollosa

We study sequential multiple testing with independent data streams, where the goal is to identify an unknown subset of signals while controlling commonly used error metrics, including generalized familywise rates and false discovery and…

统计理论 · 数学 2026-03-06 Jingyu Liu , Yanglei Song

Observational data are often used to estimate real-world effectiveness and durability of vaccines. A sequence of trials can be emulated to draw inference from such data while minimizing selection bias, immortal time bias, and confounding.…

统计方法学 · 统计学 2025-09-03 Justin B. DeMonte , Bonnie E. Shook-Sa , Michael G. Hudgens

Sequential tests and their implied confidence sequences, which are valid at arbitrary stopping times, promise flexible statistical inference and on-the-fly decision making. However, strong guarantees are limited to parametric sequential…

统计方法学 · 统计学 2024-03-12 Aurelien Bibaut , Nathan Kallus , Michael Lindon

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…

概率论 · 数学 2007-10-29 Savas Dayanik , Christian Goulding , H. Vincent Poor

Understanding treatment effect heterogeneity has become increasingly important in many fields. In this paper we study distributions and quantiles of individual treatment effects to provide a more comprehensive and robust understanding of…

统计方法学 · 统计学 2026-03-31 Zhe Chen , Xinran Li

This paper provides a statistical method to test whether a system that performs a binary sequential hypothesis test is optimal in the sense of minimizing the average decision times while taking decisions with given reliabilities. The…

信息论 · 计算机科学 2018-01-08 Meik Dörpinghaus , Izaak Neri , Édgar Roldán , Heinrich Meyr , Frank Jülicher