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Extensive empirical evidence reveals that, for a wide range of different learning methods and datasets, the risk curve exhibits a double-descent (DD) trend as a function of the model size. In a recent paper [Zeyu,Kammoun,Thrampoulidis,2019]…

Machine Learning · Statistics 2020-02-03 Ganesh Kini , Christos Thrampoulidis

We study estimation of the local average treatment effect on the treated ($LATT$) in instrumented difference-in-differences (IDiD) designs with covariates and staggered instrument exposure. We derive the efficient influence function (EIF)…

Econometrics · Economics 2026-05-06 Jonas Skjold Raaschou-Pedersen

Variance estimation is a fundamental problem in statistical modeling. In ultrahigh dimensional linear regressions where the dimensionality is much larger than sample size, traditional variance estimation techniques are not applicable.…

Methodology · Statistics 2010-12-27 Jianqing Fan , Shaojun Guo , Ning Hao

Censored survival data are common in clinical trials, but small control groups can pose challenges, particularly in rare diseases or where balanced randomization is impractical. Recent approaches leverage external controls from historical…

Methodology · Statistics 2025-05-16 Chenyin Gao , Shu Yang , Mingyang Shan , Wenyu Wendy Ye , Ilya Lipkovich , Douglas Faries

This study evaluated four multi-group differential item functioning (DIF) methods (the root mean square deviation approach, Wald-1, generalized logistic regression procedure, and generalized Mantel-Haenszel method) via Monte Carlo…

Applications · Statistics 2024-08-23 Dandan Chen Kaptur , Jinming Zhang

The goal of this article is to select important variables that can distinguish one class of data from another. A marginal variable selection method ranks the marginal effects for classification of individual variables, and is a useful and…

Methodology · Statistics 2014-02-19 Xingye Qiao , Yufeng Liu , J. S. Marron

Modern statistical analysis often encounters datasets with large sizes. For these datasets, conventional estimation methods can hardly be used immediately because practitioners often suffer from limited computational resources. In most…

Methodology · Statistics 2023-04-14 Shuyuan Wu , Xuening Zhu , Hansheng Wang

The aim of this paper is to study different estimation procedures based on $\varphi-$divergences. The dual representation of $\varphi-$divergences based on the Fenchel-Legendre duality is the main interest of this study. It provides a way…

Methodology · Statistics 2015-10-13 Diaa Al Mohamad

This paper develops a novel unified framework for testing mutual independence among random objects residing in possibly different metric spaces. The framework generalizes existing methodologies and introduces new measures of mutual…

Methodology · Statistics 2025-10-22 Yaqing Chen , Paromita Dubey

This research deals with massive multiple hypothesis testing. First regarding multiple tests as an estimation problem under a proper population model, an error measurement called Erroneous Rejection Ratio (ERR) is introduced and related to…

Statistics Theory · Mathematics 2007-06-13 Cheng Cheng

We propose the double robust Lagrange multiplier (DRLM) statistic for testing hypotheses specified on the pseudo-true value of the structural parameters in the generalized method of moments. The pseudo-true value is defined as the minimizer…

Econometrics · Economics 2021-05-19 Frank Kleibergen , Zhaoguo Zhan

Meta-analyses of two-group studies that report median differences typically rely on methods that require, in addition to the median difference and sample size, summary measures of dispersion such as quartiles or ranges. Studies that do not…

Methodology · Statistics 2026-05-25 Tadahisa Okuda , Masataka Taguri , Kenichi Hayashi

Estimating the distribution of outcomes under counterfactual policies is critical for decision-making in domains such as recommendation, advertising, and healthcare. We propose and analyze a novel framework-Counterfactual Policy Mean…

Machine Learning · Statistics 2025-10-29 Houssam Zenati , Bariscan Bozkurt , Arthur Gretton

With the evolution of single-cell RNA sequencing techniques into a standard approach in genomics, it has become possible to conduct cohort-level causal inferences based on single-cell-level measurements. However, the individual gene…

Methodology · Statistics 2025-04-23 Jin-Hong Du , Zhenghao Zeng , Edward H. Kennedy , Larry Wasserman , Kathryn Roeder

This paper describes a recursive estimation procedure for multivariate binary densities (probability distributions of vectors of Bernoulli random variables) using orthogonal expansions. For $d$ covariates, there are $2^d$ basis coefficients…

Statistics Theory · Mathematics 2012-12-03 Maxim Raginsky , Jorge Silva , Svetlana Lazebnik , Rebecca Willett

Inference of instrumental variable regression models with many weak instruments attracts many attentions recently. To extend the classical Anderson-Rubin test to high-dimensional setting, many procedures adopt ridge-regularization. However,…

Methodology · Statistics 2025-04-30 Jiarong Ding , Xu Guo , Yanmei Shi , Yuxin Wang

Micro-randomized trials (MRTs) are increasingly used to evaluate mobile health interventions with binary proximal outcomes. Standard inverse probability weighting (IPW) estimators are unbiased but unstable in small samples or under extreme…

Methodology · Statistics 2025-10-10 Jinho Cha , Eunchan Cha

We analyze the split-sample robust inference (SSRI) methodology proposed by Chernozhukov, Demirer, Duflo, and Fernandez-Val (CDDF) for quantifying uncertainty in heterogeneous treatment effect estimation. While SSRI effectively accounts for…

Methodology · Statistics 2025-02-11 Kosuke Imai , Michael Lingzhi Li

Semiclassical dispersion corrections developed by Grimme and coworkers have become indispensable in applications of Kohn-Sham density functional theory. We present an in-depth assessment of the fit parameters present in semiclassical…

Chemical Physics · Physics 2018-05-15 Thomas Weymuth , Jonny Proppe , Markus Reiher

Drawing statistical inferences from large datasets in a model-robust way is an important problem in statistics and data science. In this paper, we propose methods that are robust to large and unequal noise in different observational units…

Statistics Theory · Mathematics 2024-01-10 Edgar Dobriban , Weijie J. Su , Yachong Yang , Zhixiang Zhang