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Selective inference methods are developed for group lasso estimators for use with a wide class of distributions and loss functions. The method includes the use of exponential family distributions, as well as quasi-likelihood modeling for…

Methodology · Statistics 2024-03-28 Yiling Huang , Sarah Pirenne , Snigdha Panigrahi , Gerda Claeskens

When scholars suspect units are dependent on each other within clusters but independent of each other across clusters, they employ cluster-robust standard errors (CRSEs). Nevertheless, what to cluster over is sometimes unknown. For…

Methodology · Statistics 2025-11-12 Kentaro Fukumoto

Recently, there has been great interest in estimating the conditional average treatment effect using flexible machine learning methods. However, in practice, investigators often have working hypotheses about effect heterogeneity across…

Methodology · Statistics 2023-09-13 Chan Park , Hyunseung Kang

Where there are a limited number of patients, such as in a rare disease, clinical trials in these small populations present several challenges, including statistical issues. This led to an EU FP7 call for proposals in 2013. One of the three…

This paper examines the foundational concept of random variables in probability theory and statistical inference, demonstrating that their mathematical definition requires no reference to randomization or hypothetical repeated sampling. We…

Other Statistics · Statistics 2025-02-11 Paul W. Vos

In finite population causal inference exact randomization tests can be constructed for sharp null hypotheses, i.e. hypotheses which fully impute the missing potential outcomes. Oftentimes inference is instead desired for the weak null that…

Statistics Theory · Mathematics 2021-12-03 Peter L. Cohen , Colin B. Fogarty

Scaling inference compute in large language models (LLMs) through repeated sampling consistently increases the coverage (fraction of problems solved) as the number of samples increases. We conjecture that this observed improvement is…

Computation and Language · Computer Science 2024-10-22 Gal Yona , Or Honovich , Omer Levy , Roee Aharoni

We examine study designs for extending (generalizing or transporting) causal inferences from a randomized trial to a target population. Specifically, we consider nested trial designs, where randomized individuals are nested within a sample…

Controversy about the significance of underdetermination of theories persists in the philosophy and conduct of science. The issue has practical import when research is used to inform decision making, because scientific uncertainty yields…

Econometrics · Economics 2026-04-09 Charles F. Manski

Machine learning systems such as large scale recommendation systems or natural language processing systems are usually trained on billions of training points and are associated with hundreds of billions or trillions of parameters. Improving…

Machine Learning · Computer Science 2023-05-26 Michael Kounavis , Ousmane Dia , Ilqar Ramazanli

With the increased interest in machine learning and big data problems, the need for large amounts of labelled data has also grown. However, it is often infeasible to get experts to label all of this data, which leads many practitioners to…

Machine Learning · Computer Science 2021-05-31 Pierce Burke , Richard Klein

In many causal inference applications, only one or a few units (or clusters of units) are treated. An important challenge in such settings is that standard inference methods relying on asymptotic theory may be unreliable, even with large…

Econometrics · Economics 2026-05-22 Luis Alvarez , Bruno Ferman , Kaspar Wüthrich

Causal inference plays an important role in explanatory analysis and decision making across various fields like statistics, marketing, health care, and education. Its main task is to estimate treatment effects and make intervention…

Methodology · Statistics 2024-07-22 Yingrong Wang , Haoxuan Li , Minqin Zhu , Anpeng Wu , Ruoxuan Xiong , Fei Wu , Kun Kuang

We describe methods that extend (generalize or transport) causal inferences from cluster randomized trials to a target population of clusters, under a general nonparametric model that allows for arbitrary within-cluster dependence. We…

Attrition in survey and field experiments presents a challenge for social science research. Common approaches to deal with this problem -- such as complete case analysis, multiple imputation, and weighting methods -- rely on strong…

Methodology · Statistics 2026-04-13 Xiangyu Song

The primary goal of randomized trials is to compare the effects of different interventions on some outcome of interest. In addition to the treatment assignment and outcome, data on baseline covariates, such as demographic characteristics or…

Applications · Statistics 2014-01-09 Alisa J. Stephens , Eric J. Tchetgen Tchetgen , Victor De Gruttola

Descriptive and inferential social network analysis has become common in public administration studies of network governance and management. A large literature has developed in two broad categories: antecedents of network structure, and…

Social and Information Networks · Computer Science 2024-09-02 Travis A. Whetsell , Michael D. Siciliano

Introductory statistical inference texts and courses treat the point estimation, hypothesis testing, and interval estimation problems separately, with primary emphasis on large-sample approximations. Here I present an alternative approach…

Other Statistics · Statistics 2017-07-14 Ryan Martin

Many Artificial Intelligence systems depend on the agent's updating its beliefs about the world on the basis of experience. Experiments constitute one type of experience, so scientific methodology offers a natural environment for examining…

Artificial Intelligence · Computer Science 2013-04-08 Harold P. Lehmann

In many modern statistical problems, the limited available data must be used both to develop the hypotheses to test, and to test these hypotheses-that is, both for exploratory and confirmatory data analysis. Reusing the same dataset for…

Methodology · Statistics 2023-07-24 Youngjoo Yun , Rina Foygel Barber
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