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Bayesian inference and the use of posterior or posterior predictive probabilities for decision making have become increasingly popular in clinical trials. The current practice in Bayesian clinical trials relies on a hybrid…

Methodology · Statistics 2024-04-30 Shirin Golchi , James Willard

In this paper we consider two-stage adaptive dose-response study designs, where the study design is changed at an interim analysis based on the information collected so far. In a simulation study, two approaches will be compared for these…

Methodology · Statistics 2016-02-08 Emma McCallum , Björn Bornkamp

Hybrid clinical trials, that borrow real-world data (RWD), are gaining interest, especially for rare diseases. They assume RWD and randomized control arm be exchangeable, but violations can bias results, inflate type I error, or reduce…

Mutual information is widely used in artificial intelligence, in a descriptive way, to measure the stochastic dependence of discrete random variables. In order to address questions such as the reliability of the empirical value, one must…

Artificial Intelligence · Computer Science 2008-06-26 Marco Zaffalon , Marcus Hutter

Mutual information is widely used in artificial intelligence, in a descriptive way, to measure the stochastic dependence of discrete random variables. In order to address questions such as the reliability of the empirical value, one must…

Artificial Intelligence · Computer Science 2014-08-08 Marco Zaffalon , Marcus Hutter

Causal discovery methods have traditionally been developed under two different modeling assumptions: independent and identically distributed (i.i.d.) data and time series data. In this paper, we focus on the i.i.d. setting, arguing that it…

Machine Learning · Computer Science 2026-03-27 Tiago Brogueira , Mário Figueiredo

Here we introduce a new design framework for synthetic biology that exploits the advantages of Bayesian model selection. We will argue that the difference between inference and design is that in the former we try to reconstruct the system…

Molecular Networks · Quantitative Biology 2015-05-27 Chris Barnes , Daniel Silk , Xia Sheng , Michael P. H. Stumpf

In response to the U.S.\ Food and Drug Administration's (FDA) Project Optimus, a paradigm shift is underway in the design of early-phase oncology trials. To accelerate drug development, seamless Phase I/II designs have gained increasing…

Methodology · Statistics 2025-11-04 Kana Makino , Natsumi Makigusa , Masahiro Kojima

Modern epidemiological analytics increasingly use machine learning models that offer strong prediction but often lack calibrated uncertainty. Bayesian methods provide principled uncertainty quantification, yet are viewed as difficult to…

Machine Learning · Statistics 2025-11-18 Debashis Chatterjee

The United States Bureau of Labor Statistics collects data using survey instruments under informative sampling designs that assign probabilities of inclusion to be correlated with the response. The bureau extensively uses Bayesian…

Methodology · Statistics 2017-10-26 Terrance D. Savitsky , Sanvesh Srivastava

Bayesian inference is widely used in many different fields to test hypotheses against observations. In most such applications, an assumption is made of precise input values to produce a precise output value. However, this is unrealistic for…

Artificial Intelligence · Computer Science 2025-09-12 John T. Rickard , William A. Dembski , James Rickards

Bayesian experimental design (BED) is a framework that uses statistical models and decision making under uncertainty to optimise the cost and performance of a scientific experiment. Sequential BED, as opposed to static BED, considers the…

Machine Learning · Statistics 2020-03-23 Steven Kleinegesse , Christopher Drovandi , Michael U. Gutmann

The win ratio (WR) statistic is increasingly used to evaluate treatment effects based on prioritized composite endpoints, yet existing Bayesian adaptive designs are not directly applicable because the WR is a summary statistic derived from…

Methodology · Statistics 2026-02-20 Di Zhu , Yong Zang

Bayesian supervised predictive classifiers, hypothesis testing, and parametric estimation under Partition Exchangeability are implemented. The two classifiers presented are the marginal classifier (that assumes test data is i.i.d.) next to…

Computation · Statistics 2021-12-06 Ville Kinnula , Jing Tang , Ali Amiryousefi

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…

Methodology · Statistics 2020-10-27 Ethan M. Alt , Matthew A. Psioda , Joseph G. Ibrahim

Modern application of A/B tests is challenging due to its large scale in various dimensions, which demands flexibility to deal with multiple testing sequentially. The state-of-the-art practice first reduces the observed data stream to…

Methodology · Statistics 2022-09-14 Hui Xu , Weinan Wang

There is growing interest in Bayesian clinical trial designs with informative prior distributions, e.g. for extrapolation of adult data to pediatrics, or use of external controls. While the classical type I error is commonly used to…

Methodology · Statistics 2023-09-06 Nicky Best , Maxine Ajimi , Beat Neuenschwander , Gaelle Saint-Hilary , Simon Wandel

It is often of interest to combine available estimates of a similar quantity from multiple data sources. When the corresponding variances of each estimate are also available, a model should take into account the uncertainty of the estimates…

Methodology · Statistics 2021-09-17 Yujing Yao , R. Todd Ogden , Chubing Zeng , Qixuan Chen

This paper concerns sequential hypothesis testing in competitive multi-agent systems where agents exchange potentially manipulated information. Specifically, a two-agent scenario is studied where each agent aims to correctly infer the true…

Systems and Control · Electrical Eng. & Systems 2025-04-04 Aneesh Raghavan , M. Umar B. Niazi , Karl H. Johansson

Platform trials evaluate multiple experimental treatments against a common control group (and/or against each other), which often reduces the trial duration and sample size. Bayesian platform designs offer several practical advantages,…

Methodology · Statistics 2025-07-18 Luke Hagar , Lara Maleyeff , Shirin Golchi , Dick Menzies