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A/B testing is one of the most successful applications of statistical theory in modern Internet age. One problem of Null Hypothesis Statistical Testing (NHST), the backbone of A/B testing methodology, is that experimenters are not allowed…

应用统计 · 统计学 2016-02-18 Alex Deng , Jiannan Lu , Shouyuan Chen

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,…

The problem of sequential anomaly detection and identification is considered, where multiple data sources are simultaneously monitored and the goal is to identify in real time those, if any, that exhibit ``anomalous" statistical behavior.…

统计理论 · 数学 2024-12-09 Aristomenis Tsopelakos , Georgios Fellouris

Online evaluation of machine learning models is typically conducted through A/B experiments. Sequential statistical tests are valuable tools for analysing these experiments, as they enable researchers to stop data collection early without…

统计方法学 · 统计学 2025-10-08 Alexey Kurennoy , Majed Dodin , Tural Gurbanov , Ana Peleteiro Ramallo

We consider the problem of sequentially testing for changes in the mean parameter of a time series, compared to a benchmark period. Most tests in the literature focus on the null hypothesis of a constant mean versus the alternative of a…

统计方法学 · 统计学 2025-09-23 Patrick Bastian , Tim Kutta , Rupsa Basu , Holger Dette

AB-testing is a very popular technique in web companies since it makes it possible to accurately predict the impact of a modification with the simplicity of a random split across users. One of the critical aspects of an AB-test is its…

机器学习 · 统计学 2015-02-02 Cyrille Dubarry

Randomized trials are considered the gold standard for making informed decisions in medicine, yet they often lack generalizability to the patient populations in clinical practice. Observational studies, on the other hand, cover a broader…

统计方法学 · 统计学 2026-04-14 Piersilvio De Bartolomeis , Javier Abad , Konstantin Donhauser , Fanny Yang

The problem of sequential anomaly detection is considered, where multiple data sources are monitored in real time and the goal is to identify the "anomalous" ones among them, when it is not possible to sample all sources at all times. A…

统计理论 · 数学 2022-05-23 Aristomenis Tsopelakos , Georgios Fellouris

Continuous monitoring is becoming more popular due to its significant benefits, including reducing sample sizes and reaching earlier conclusions. In general, it involves monitoring nuisance parameters (e.g., the variance of outcomes) until…

统计理论 · 数学 2025-07-31 Long-Hao Xu , Tim Friede

Online controlled experiments, or A/B tests, are large-scale randomized trials in digital environments. This paper investigates the estimands of the difference-in-means estimator in these experiments, focusing on scenarios with repeated…

统计方法学 · 统计学 2024-11-12 Sebastian Ankargren , Mattias Frånberg , Mårten Schultzberg

We consider real-time timely tracking of infection status (e.g., covid-19) of individuals in a population. In this work, a health care provider wants to detect infected people as well as people who have recovered from the disease as quickly…

信息论 · 计算机科学 2022-06-15 Melih Bastopcu , Sennur Ulukus

The primary analysis in two-arm clinical trials usually involves inference on a scalar treatment effect parameter; e.g., depending on the outcome, the difference of treatment-specific means, risk difference, risk ratio, or odds ratio. Most…

统计方法学 · 统计学 2022-04-25 Anastasios A. Tsiatis , Marie Davidian

This article develops a method to construct the optimal sequential test for monitoring the changes in the distribution of finite observation sequences with a general dependence structure. This method allows us to prove that different…

统计理论 · 数学 2019-08-01 Dong Han , Fugee Tsung , Jinguo Xian

Monitoring is an important part of the verification toolbox, in particular in situations where exhaustive verification using, e.g., model-checking is infeasible. The goal of online monitoring is to determine the satisfaction or violation of…

形式语言与自动机理论 · 计算机科学 2025-10-02 Thomas M. Grosen , Sean Kauffman , Kim G. Larsen , Martin Zimmermann

According to recent results, convergence in a prespecified or prescribed finite time can be achieved under extreme model uncertainty if control is applied continuously over time. This paper shows that this extreme amount of uncertainty…

系统与控制 · 电气工程与系统科学 2023-06-27 Hernan Haimovich , Rodrigo Aldana-Lopez , Richard Seeber , David Gomez-Gutierrez

In a Monte-Carlo test, the observed dataset is fixed, and several resampled or permuted versions of the dataset are generated in order to test a null hypothesis that the original dataset is exchangeable with the resampled/permuted ones.…

统计方法学 · 统计学 2025-05-05 Lasse Fischer , Aaditya Ramdas

A popular setting in medical statistics is a group sequential trial with independent and identically distributed normal outcomes, in which interim analyses of the sum of the outcomes are performed. Based on a prescribed stopping rule, one…

统计理论 · 数学 2018-04-03 Ben Berckmoes , Anna Ivanova , Geert Molenberghs

In comparative effectiveness research, treated and control patients might have a different start of follow-up as treatment is often started later in the disease trajectory. This typically occurs when data from treated and controls are not…

统计方法学 · 统计学 2024-06-10 Rik van Eekelen , Patrick M. M. Bossuyt , Nan van Geloven

We consider real-time timely tracking of infection status (e.g., covid-19) of individuals in a population. In this work, a health care provider wants to detect infected people as well as people who recovered from the disease as quickly as…

计算机与社会 · 计算机科学 2020-12-29 Melih Bastopcu , Sennur Ulukus

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
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