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Post-market safety surveillance is an integral part of mass vaccination programs. Typically relying on sequential analysis of real-world health data as they accrue, safety surveillance is challenged by the difficulty of sequential multiple…

High throughput technologies have become the practice of choice for comparative studies in biomedical applications. Limited number of sample points due to sequencing cost or access to organisms of interest necessitates the development of…

统计方法学 · 统计学 2018-07-17 Ariana Broumand , Siamak Zamani Dadaneh

Given the cost and duration of phase III and phase IV clinical trials, the development of statistical methods for go/no-go decisions is vital. In this paper, we introduce a Bayesian methodology to compute the probability of success based on…

统计方法学 · 统计学 2020-10-27 Ethan M. Alt , Matthew A. Psioda , Joseph G. Ibrahim

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

Count outcomes in longitudinal studies are frequent in clinical and engineering studies. In frequentist and Bayesian statistical analysis, methods such as Mixed linear models allow the variability or correlation within individuals to be…

统计方法学 · 统计学 2024-07-15 Alejandra Estefanía Patiño Hoyos , Johnatan Cardona Jiménez

In this paper, we aim at solving a class of multiple testing problems under the Bayesian sequential decision framework. Our motivating application comes from binary labeling tasks in crowdsourcing, where the requestor needs to…

统计方法学 · 统计学 2017-08-29 Xiaoou Li , Yunxiao Chen , Xi Chen , Jingchen Liu , Zhiliang Ying

We propose a restricted win probability estimand for comparing treatments in a randomized trial with a time-to-event outcome. We also propose Bayesian estimators for this summary measure as well as the unrestricted win probability. Bayesian…

统计方法学 · 统计学 2024-11-06 Michelle Leeberg , Xianghua Luo , Thomas A. Murray

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

In this paper, we propose an optimal sequential procedure for the early detection of potential side effects resulting from the administration of some treatment (e.g. a vaccine, say). The results presented here extend previous results…

统计方法学 · 统计学 2025-04-17 Jiayue Wang , Ben Boukai

We develop a Bayesian nonparametric (BNP) approach to evaluate the causal effect of treatment in a randomized trial where a nonterminal event may be censored by a terminal event, but not vice versa (i.e., semi-competing risks). Based on the…

统计方法学 · 统计学 2019-07-23 Yanxun Xu , Daniel Scharfstein , Peter Müller , Michael Daniels

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,…

信息论 · 计算机科学 2025-01-07 Ching-Fang Li , I-Hsiang Wang

External information, such as prior information or expert opinions, can play an important role in the design, analysis and interpretation of clinical trials. However, little attention has been devoted thus far to incorporating external…

应用统计 · 统计学 2013-04-24 Minge Xie , Regina Y. Liu , C. V. Damaraju , William H. Olson

We consider a variant of sequential testing by betting where, at each time step, the statistician is presented with multiple data sources (arms) and obtains data by choosing one of the arms. We consider the composite global null hypothesis…

统计方法学 · 统计学 2026-03-19 Ricardo J. Sandoval , Ian Waudby-Smith , Michael I. Jordan

This paper develops a Bayesian approach for assessing equivalence and non-inferiority hypotheses in two-arm trials using relative belief ratios. A relative belief ratio is a measure of statistical evidence and can indicate evidence either…

应用统计 · 统计学 2014-01-20 Saman Muthukumarana , Michael Evans

Subgroup analysis is a frequently used tool for evaluating heterogeneity of treatment effect and heterogeneity in treatment harm across observed baseline patient characteristics. While treatment efficacy and adverse event measures are often…

应用统计 · 统计学 2018-08-14 Nicholas C. Henderson , Ravi Varadhan

In this paper, we deal with sequential testing of multiple hypotheses. In the general scheme of construction of optimal tests based on the backward induction, we propose a modification which provides a simplified (generally speaking,…

统计方法学 · 统计学 2024-06-04 Andrey Novikov

AB testing aids business operators with their decision making, and is considered the gold standard method for learning from data to improve digital user experiences. However, there is usually a gap between the requirements of practitioners,…

We study the adversarial binary hypothesis testing problem in the sequential setting. Associated with each hypothesis is a closed, convex set of distributions. Given the hypothesis, each observation is generated according to a distribution…

信息论 · 计算机科学 2025-11-14 Eeshan Modak , Mayank Bakshi , Bikash Kumar Dey , Vinod M. Prabhakaran

In recurrent event studies, panel binary data arise when subjects are observed at discrete time points and only the recurrent event status within each observation window is recorded. Such data frequently occur in longitudinal studies due to…

统计方法学 · 统计学 2025-03-18 Pavithra Hariharan , P. G. Sankaran

With the emergence and spread of infectious diseases with pandemic potential, such as COVID- 19, the urgency for vaccine development have led to unprecedented compressed and accelerated schedules that shortened the standard development…

应用统计 · 统计学 2025-04-22 Jiayue Wang , Ben Boukai
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