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When interpreting A/B tests, we typically focus only on the statistically significant results and take them by face value. This practice, termed post-selection inference in the statistical literature, may negatively affect both point…

应用统计 · 统计学 2021-06-01 Alex Deng , Yicheng Li , Jiannan Lu , Vivek Ramamurthy

Motivated by applications to goodness of fit testing, the empirical likelihood approach is generalized to allow for the number of constraints to grow with the sample size and for the constraints to use estimated criteria functions. The…

统计理论 · 数学 2013-07-24 Hanxiang Peng , Anton Schick

In industry, online randomized controlled experiment (a.k.a. A/B experiment) is a standard approach to measure the impact of a causal change. These experiments have small treatment effect to reduce the potential blast radius. As a result,…

计量经济学 · 经济学 2025-05-29 Tanmoy Das , Dohyeon Lee , Arnab Sinha

Invariance-based randomization tests -- such as permutation tests, rotation tests, or sign changes -- are an important and widely used class of statistical methods. They allow drawing inferences under weak assumptions on the data…

统计理论 · 数学 2022-05-31 Edgar Dobriban

This paper demonstrates a methodology for examining the accuracy of uncertain inference systems (UIS), after their parameters have been optimized, and does so for several common UIS's. This methodology may be used to test the accuracy when…

人工智能 · 计算机科学 2013-04-11 Ben P. Wise

A novel data-driven methodology is presented for the joint selection of prior parameters for both fixed and random effects in Linear Mixed Models (LMMs). This approach facilitates the estimation of complex random-effects structures, as well…

统计方法学 · 统计学 2026-04-28 Matteo Amestoy , R. Vermeulen , Mark A. van de Wiel , Wessel N. van Wieringen

This paper proposes a new approach for testing Granger non-causality on panel data. Instead of aggregating panel member statistics, we aggregate their corresponding p-values and show that the resulting p-value approximately bounds the type…

统计方法学 · 统计学 2022-02-24 Lenon Minorics , Caner Turkmen , David Kernert , Patrick Bloebaum , Laurent Callot , Dominik Janzing

In time series analysis, statistics based on collections of estimators computed from sub-samples play a crucial role in an increasing variety of important applications. Proving results about the joint asymptotic distribution of such…

统计理论 · 数学 2013-05-27 Stanislav Volgushev , Xiaofeng Shao

Randomized controlled trials (RCTs) are the gold standard for causal inference, yet practical constraints often limit the size of the concurrent control arm. Borrowing control data from previous trials offers a potential efficiency gain,…

统计方法学 · 统计学 2026-03-17 Linying Yang , Xing Liu , Robin J. Evans

This paper explores a class of empirical Bayes methods for level-dependent threshold selection in wavelet shrinkage. The prior considered for each wavelet coefficient is a mixture of an atom of probability at zero and a heavy-tailed…

统计理论 · 数学 2007-06-13 Iain M. Johnstone , Bernard W. Silverman

Random effects are a flexible addition to statistical models to capture structural heterogeneity in the data, such as spatial dependencies, individual differences, temporal dependencies, or non-linear effects. Testing for the presence (or…

统计方法学 · 统计学 2024-10-21 Fabio Vieira , Hongwei Zhao , Joris Mulder

This paper develops bootstrap methods for practical statistical inference in panel data quantile regression models with fixed effects. We consider random-weighted bootstrap resampling and formally establish its validity for asymptotic…

计量经济学 · 经济学 2021-11-08 Antonio F. Galvao , Thomas Parker , Zhijie Xiao

This paper presents a new approach for batch Bayesian Optimization (BO) called Thompson Sampling-Regret to Sigma Ratio directed sampling (TS-RSR), where we sample a new batch of actions by minimizing a Thompson Sampling approximation of a…

机器学习 · 计算机科学 2025-06-10 Zhaolin Ren , Na Li

The asymptotic theory of various estimators based on Gaussian likelihood has been developed for the unit root and near unit root cases of a first-order moving average model. Previous studies of the MA(1) unit root problem rely on the…

统计理论 · 数学 2012-03-13 Richard A. Davis , Li Song

Typically, a randomized experiment is designed to test a hypothesis about the average treatment effect and sometimes hypotheses about treatment effect variation. The results of such a study may then be used to inform policy and practice for…

统计方法学 · 统计学 2026-05-01 Elizabeth Tipton , Michalis Mamakos

Bayes Factors, the Bayesian tool for hypothesis testing, are receiving increasing attention in the literature. Compared to their frequentist rivals ($p$-values or test statistics), Bayes Factors have the conceptual advantage of providing…

统计方法学 · 统计学 2026-01-21 Stavros Nikolakopoulos , Björn Alfons Edmar , Ioannis Ntzoufras

The standard approach to Bayesian inference is based on the assumption that the distribution of the data belongs to the chosen model class. However, even a small violation of this assumption can have a large impact on the outcome of a…

统计方法学 · 统计学 2015-06-22 Jeffrey W. Miller , David B. Dunson

Randomized benchmarking and variants thereof, which we collectively call RB+, are widely used to characterize the performance of quantum computers because they are simple, scalable, and robust to state-preparation and measurement errors.…

量子物理 · 物理学 2019-06-05 Robin Harper , Ian Hincks , Chris Ferrie , Steven T. Flammia , Joel J. Wallman

We propose a two-sample mean test based on the Bayes factor with non-informative priors, specifically designed for scenarios where the dimension $p$ grows with the sample size $n$ with a linear rate $p/n \to c_1 \in (0, \infty)$. We…

统计方法学 · 统计学 2026-04-07 Daojiang He , Suren Xu , Jing Zhou

Conjoint analysis is a popular experimental design used to measure multidimensional preferences. Researchers examine how varying a factor of interest, while controlling for other relevant factors, influences decision-making. Currently,…

统计方法学 · 统计学 2024-11-20 Dae Woong Ham , Kosuke Imai , Lucas Janson