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We present new M-estimators of the mean and variance of real valued random variables, based on PAC-Bayes bounds. We analyze the non-asymptotic minimax properties of the deviations of those estimators for sample distributions having either a…

Statistics Theory · Mathematics 2011-08-15 Olivier Catoni

Generalized causal effect estimands, including the Mann-Whitney parameter and causal net benefit, provide flexible summaries of treatment effects in randomized experiments with non-Gaussian or multivariate outcomes. We develop a unified…

Methodology · Statistics 2026-02-27 Xinyuan Chen , Fan Li

Observational cohort studies are increasingly being used for comparative effectiveness research to assess the safety of therapeutics. Recently, various doubly robust methods have been proposed for average treatment effect estimation by…

Methodology · Statistics 2025-03-11 Xiaoqing Tan , Shu Yang , Wenyu Ye , Douglas E. Faries , Ilya Lipkovich , Zbigniew Kadziola

The prediction interval has been increasingly used in meta-analyses as a useful measure for assessing the magnitude of treatment effect and between-studies heterogeneity. In calculations of the prediction interval, although the…

Methodology · Statistics 2021-07-14 Yuta Hamaguchi , Hisashi Noma , Kengo Nagashima , Tomohide Yamada , Toshi A. Furukawa

Meta-analyses require an effect-size estimate and its corresponding sampling variance from primary studies. In some cases, estimators for the sampling variance of a given effect size statistic may not exist, necessitating the derivation of…

Covariate adjustment is desired by both practitioners and regulators of randomized clinical trials because it improves precision for estimating treatment effects. However, covariate adjustment presents a particular challenge in…

Methodology · Statistics 2023-07-20 Yunfan Li , Jessica L. Ross , Aaron M. Smith , David P. Miller

Standard estimators of the global average treatment effect can be biased in the presence of interference. This paper proposes regression adjustment estimators for removing bias due to interference in Bernoulli randomized experiments. We use…

Methodology · Statistics 2019-03-06 Alex Chin

Unmeasured confounding is a key threat to reliable causal inference based on observational studies. Motivated from two powerful natural experiment devices, the instrumental variables and difference-in-differences, we propose a new method…

Methodology · Statistics 2021-11-09 Ting Ye , Ashkan Ertefaie , James Flory , Sean Hennessy , Dylan S. Small

The maximum mean discrepancy (MMD) is a kernel-based nonparametric statistic for two-sample testing, whose inferential accuracy depends critically on variance characterization. Existing work provides various finite-sample estimators of the…

Machine Learning · Statistics 2026-02-05 Shijie Zhong , Yikun Yang , Da Gong , Jiangfeng Fu

Staggered treatment adoption arises in the evaluation of policy impact and implementation in many settings, including both randomized stepped-wedge trials and non-randomized quasi-experiments with panel data. In both settings, getting an…

Methodology · Statistics 2024-10-14 Lee Kennedy-Shaffer

Causal mediation analysis aims to estimate the natural direct and indirect effects under clearly specified assumptions. Traditional mediation analysis based on Ordinary Least Squares (OLS) relies on the absence of unmeasured causes of the…

Methodology · Statistics 2017-07-07 Cedric E. Ginestet , Richard Emsley , Sabine Landau

Background: Under competing risks, the commonly used sub-distribution hazard ratio (SHR) is not easy to interpret clinically and is valid only under the proportional sub-distribution hazard (SDH) assumption. This paper introduces an…

Methodology · Statistics 2020-10-06 Jingjing Lyu , Yawen Hou , Zheng Chen

In many medical studies, an ultimate failure event such as death is likely to be affected by the occurrence and timing of other intermediate clinical events. Both event times are subject to censoring by loss-to-follow-up but the nonterminal…

Methodology · Statistics 2021-01-18 Fei Gao , Fan Xia , Kwun Chuen Gary Chan

We consider a high-dimensional mean estimation problem over a binary hidden Markov model, which illuminates the interplay between memory in data, sample size, dimension, and signal strength in statistical inference. In this model, an…

Statistics Theory · Mathematics 2022-10-13 Yihan Zhang , Nir Weinberger

Agent-based simulation with a synthetic population can help us compare different treatment conditions while keeping everything else constant within the same population (i.e., as digital twins). Such population-scale simulations require…

Methodology · Statistics 2024-03-26 Abdulrahman A. Ahmed , M. Amin Rahimian , Mark S. Roberts

Randomized Controlled Trials (RCT) are the current gold standards to empirically measure the effect of a new drug. However, they may be of limited size and resorting to complementary non-randomized data, referred to as observational, is…

Methodology · Statistics 2025-06-11 Ahmed Boughdiri , Julie Josse , Erwan Scornet

The commonly used two-way fixed effects estimator is biased under correlated heterogeneity and can lead to misleading inference. The mean group estimator proposed by Pesaran and Smith (1995) is robust to correlated heterogeneity but…

Econometrics · Economics 2026-04-01 M. Hashem Pesaran , Liying Yang

In this work we present a new method for the estimation of Mutual Information (MI) between random variables. Our approach is based on an original interpretation of the Girsanov theorem, which allows us to use score-based diffusion models to…

Machine Learning · Computer Science 2024-05-16 Giulio Franzese , Mustapha Bounoua , Pietro Michiardi

Covariate adjustment is a general method for improving precision when estimating treatment effects in randomized trials and is recommended by the FDA in its 2023 guidance when baseline variables are prognostic for the primary outcome. We…

In the common time series model $X_{i,n} = \mu (i/n) + \varepsilon_{i,n}$ with non-stationary errors we consider the problem of detecting a significant deviation of the mean function $\mu$ from a benchmark $g (\mu )$ (such as the initial…

Statistics Theory · Mathematics 2020-05-25 Holger Dette , Florian Heinrichs
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