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Time-to-event endpoints show an increasing popularity in phase II cancer trials. The standard statistical tool for such one-armed survival trials is the one-sample log-rank test. Its distributional properties are commonly derived in the…

Methodology · Statistics 2026-03-02 Moritz Fabian Danzer , Andreas Faldum , Rene Schmidt

Statistical inference in competing risks models is often based on the famous Aalen-Johansen estimator. Since the corresponding limit process lacks independent increments, it is typically applied together with Lin's (1997) resampling…

Statistics Theory · Mathematics 2014-01-31 Dennis Dobler , Markus Pauly

Causal inference starts with a simple idea: compare groups that differ by treatment, not much else. Traditionally, similar groups are constructed using only observed covariates; however, it remains a long-standing challenge to incorporate…

Methodology · Statistics 2025-11-21 Ying Jin , José Zubizarreta

The proposed feature selection method builds a histogram of the most stable features from random subsets of a training set and ranks the features based on a classifier based cross-validation. This approach reduces the instability of…

Artificial Intelligence · Computer Science 2012-02-07 Alex Pappachen James , Akshay Maan

Theoretical developments on cross validation (CV) have mainly focused on selecting one among a list of finite-dimensional models (e.g., subset or order selection in linear regression) or selecting a smoothing parameter (e.g., bandwidth for…

Statistics Theory · Mathematics 2008-12-18 Yuhong Yang

Several new methods have been proposed for performing valid inference after model selection. An older method is sampling splitting: use part of the data for model selection and part for inference. In this paper we revisit sample splitting…

Statistics Theory · Mathematics 2018-04-04 Alessandro Rinaldo , Larry Wasserman , Max G'Sell , Jing Lei

The performance of machine learning models can be impacted by changes in data over time. A promising approach to address this challenge is invariant learning, with a particular focus on a method known as invariant risk minimization (IRM).…

Machine Learning · Computer Science 2024-04-09 Wenlu Tang , Zicheng Liu

This paper investigates estimating the variance of a temporal-difference learning agent's update target. Most reinforcement learning methods use an estimate of the value function, which captures how good it is for the agent to be in a…

Artificial Intelligence · Computer Science 2018-02-15 Craig Sherstan , Brendan Bennett , Kenny Young , Dylan R. Ashley , Adam White , Martha White , Richard S. Sutton

Instrumental variables (IV) regression is widely used to estimate causal treatment effects in settings where receipt of treatment is not fully random, but there exists an instrument that generates exogenous variation in treatment exposure.…

Econometrics · Economics 2021-08-10 Stephen Coussens , Jann Spiess

The multivariate coefficient of variation (MCV) is an attractive and easy-to-interpret effect size for the dispersion in multivariate data. Recently, the first inference methods for the MCV were proposed by Ditzhaus and Smaga (2022) for…

Methodology · Statistics 2023-01-31 Marc Ditzhaus , Łukasz Smaga

Bayesian methods have proved powerful in many applications for the inference of model parameters from data. These methods are based on Bayes' theorem, which itself is deceptively simple. However, in practice the computations required are…

Methodology · Statistics 2020-07-10 Michael A. Chappell , Mark W. Woolrich

Robust optimization has been widely used in nowadays data science, especially in adversarial training. However, little research has been done to quantify how robust optimization changes the optimizers and the prediction losses comparing to…

Machine Learning · Computer Science 2020-10-06 Zhun Deng , Cynthia Dwork , Jialiang Wang , Linjun Zhang

We consider a three-level meta-analysis of standardized mean differences. The standard method of estimation uses inverse-variance weights and REML/PL estimation of variance components for the random effects. We introduce new moment-based…

Methodology · Statistics 2024-11-05 Elena Kulinskaya , David C. Hoaglin

Higher-Order Influence Functions (HOIF), developed in a series of papers over the past twenty years, are a fundamental theoretical device for constructing rate-optimal causal-effect estimators from observational studies. However, the value…

Methodology · Statistics 2025-11-19 Sihui Zhao , Xinbo Wang , Lin Liu , Xin Zhang

The asymptotic optimality (a.o.) of various hyper-parameter estimators with different optimality criteria has been studied in the literature for regularized least squares regression problems. The estimators include e.g., the maximum…

Statistics Theory · Mathematics 2021-04-28 Biqiang Mu , Tianshi Chen , Lennart Ljung

Iterated conditional expectation (ICE) g-computation is an estimation approach for addressing time-varying confounding for both longitudinal and time-to-event data. Unlike other g-computation implementations, ICE avoids the need to specify…

Methodology · Statistics 2025-08-14 Paul N Zivich , Rachael K Ross , Bonnie E Shook-Sa , Stephen R Cole , Jessie K Edwards

This paper studies the inference of the regression coefficient matrix under multivariate response linear regressions in the presence of hidden variables. A novel procedure for constructing confidence intervals of entries of the coefficient…

Methodology · Statistics 2022-01-21 Xin Bing , Wei Cheng , Huijie Feng , Yang Ning

Covariate shift relaxes the widely-employed independent and identically distributed (IID) assumption by allowing different training and testing input distributions. Unfortunately, common methods for addressing covariate shift by trying to…

Machine Learning · Computer Science 2018-01-02 Anqi Liu , Brian D. Ziebart

Instrumental variable (IV) analyses are becoming common in health services research and epidemiology. Most IV analyses use naturally occurring instruments, such as distance to a hospital. In these analyses, investigators must assume the…

Methodology · Statistics 2019-07-04 Zach Branson , Luke Keele

We consider the problem of empirical Bayes estimation of multiple variances when provided with sample variances. Assuming an arbitrary prior on the variances, we derive different versions of the Bayes estimators using different loss…

Statistics Theory · Mathematics 2022-03-01 Yeil Kwon , Zhigen Zhao