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Two-sample inference for the difference of population means typically relies upon a Central Limit Theorem approximation. When data are drawn from a Negative Binomial distribution, previous work of Shilane et al. (2010) showed that a Normal…

Methodology · Statistics 2012-03-06 David Shilane , Derek Bean

Determining the sample size of an experiment can be challenging, even more so when incorporating external information via a prior distribution. Such information is increasingly used to reduce the size of the control group in randomized…

Applications · Statistics 2019-07-10 Beat Neuenschwander , Sebastian Weber , Heinz Schmidli , Anthony O'Hagan

The empirical risk minimization approach to data-driven decision making requires access to training data drawn under the same conditions as those that will be faced when the decision rule is deployed. However, in a number of settings, we…

Methodology · Statistics 2025-09-17 Roshni Sahoo , Lihua Lei , Stefan Wager

Estimating the causal effect of a treatment or health policy with observational data can be challenging due to an imbalance of and a lack of overlap between treated and control covariate distributions. In the presence of limited overlap,…

Methodology · Statistics 2025-03-24 Martha Barnard , Jared D. Huling , Julian Wolfson

Random-effects models are frequently used to synthesise information from different studies in meta-analysis. While likelihood-based inference is attractive both in terms of limiting properties and of implementation, its application in…

Methodology · Statistics 2018-02-16 Ioannis Kosmidis , Annamaria Guolo , Cristiano Varin

Spurious association arises from covariance between propensity for the treatment and individual risk for the outcome. For sensitivity analysis with stochastic counterfactuals we introduce a methodology to characterize uncertainty in causal…

Methodology · Statistics 2021-03-11 Brian Knaeble , Braxton Osting , Placede Tshiaba

Having a large number of covariates can have a negative impact on the quality of causal effect estimation since confounding adjustment becomes unreliable when the number of covariates is large relative to the samples available. Propensity…

Methodology · Statistics 2020-09-15 Debo Cheng , Jiuyong Li , Lin Liu , Jixue Liu

Counterfactual explanations for machine learning models are used to find minimal interventions to the feature values such that the model changes the prediction to a different output or a target output. A valid counterfactual explanation…

Machine Learning · Computer Science 2023-03-23 Shravan Kumar Sajja , Sumanta Mukherjee , Satyam Dwivedi

This paper is concerned with the sample efficiency of reinforcement learning, assuming access to a generative model (or simulator). We first consider $\gamma$-discounted infinite-horizon Markov decision processes (MDPs) with state space…

Machine Learning · Computer Science 2025-03-18 Gen Li , Yuting Wei , Yuejie Chi , Yuxin Chen

In the context of treatment effect estimation, this paper proposes a new methodology to recover the counterfactual distribution when there is a single (or a few) treated unit and possibly a high-dimensional number of potential controls…

Econometrics · Economics 2023-09-08 Ricardo Masini

In randomized experiments, treatment and control groups should be roughly the same--balanced--in their distributions of pretreatment variables. But how nearly so? Can descriptive comparisons meaningfully be paired with significance tests?…

Methodology · Statistics 2008-08-29 Ben B. Hansen , Jake Bowers

We develop tools for selective inference in the setting of group sparsity, including the construction of confidence intervals and p-values for testing selected groups of variables. Our main technical result gives the precise distribution of…

Methodology · Statistics 2016-07-28 Fan Yang , Rina Foygel Barber , Prateek Jain , John Lafferty

A reasonable confidence interval should have a confidence coefficient no less than the given nominal level and a small expected length to reliably and accurately estimate the parameter of interest, and the bootstrap interval is considered…

Statistics Theory · Mathematics 2024-02-15 Weizhen Wang , Chongxiu Yu , Zhongzhan Zhang

We contribute a general and flexible framework to estimate the size of a closed population in the presence of $K$ capture-recapture lists and heterogeneous capture probabilities. Our novel identifying strategy leverages the fact that it is…

Methodology · Statistics 2024-07-08 Mateo Dulce Rubio , Edward Kennedy

In paired randomized experiments individuals in a given matched pair may differ on prognostically important covariates despite the best efforts of practitioners. We examine the use of regression adjustment as a way to correct for persistent…

Methodology · Statistics 2017-11-27 Colin B. Fogarty

Experimental studies often fail to appropriately account for the number of collected samples within a fixed time interval for functional responses. Data of this nature appropriately falls under an Infill Asymptotic domain that is…

Methodology · Statistics 2024-03-12 Cory W. Natoli , Edward D. White , Beau A. Nunnally , Alex J. Gutman , Raymond R. Hill

Causal inference in a program evaluation setting faces the problem of external validity when the treatment effect in the target population is different from the treatment effect identified from the population of which the sample is…

Methodology · Statistics 2021-12-23 Kyungchul Song , Zhengfei Yu

Causal inference is crucial for understanding the true impact of interventions, policies, or actions, enabling informed decision-making and providing insights into the underlying mechanisms that shape our world. In this paper, we establish…

Methodology · Statistics 2024-03-26 Jingyue Huang , Changbao Wu , Leilei Zeng

Sequential Multiple-Assignment Randomized Trials (SMARTs) play an increasingly important role in psychological and behavioral health research. This experimental approach enables researchers to answer scientific questions about how to…

Methodology · Statistics 2023-06-21 John J. Dziak , Daniel Almirall , Walter Dempsey , Catherine Stanger , Inbal Nahum-Shani

We propose a modern method to estimate population size based on capture-recapture designs of K samples. The observed data is formulated as a sample of n i.i.d. K-dimensional vectors of binary indicators, where the k-th component of each…