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This paper develops new tools to quantify uncertainty in optimal decision making and to gain insight into which variables one should collect information about given the potential cost of measuring a large number of variables. We investigate…

Methodology · Statistics 2021-05-11 Yunan Wu , Lan Wang , Haoda Fu

This paper addresses the problem of identifying and estimating the causal effect of a treatment in the presence of unmeasured confounding and various types of right-censoring. Examples of these censoring mechanisms are administrative…

Statistics Theory · Mathematics 2025-03-19 Ilias Willems , Sara Rutten , Gilles Crommen , Ingrid Van Keilegom

Multiple imputation has become one of the most popular approaches for handling missing data in statistical analyses. Part of this success is due to Rubin's simple combination rules. These give frequentist valid inferences when the…

Methodology · Statistics 2019-11-28 Jonathan W. Bartlett , Rachael A. Hughes

We consider a heteroscedastic regression model in which some of the regression coefficients are zero but it is not known which ones. Penalized quantile regression is a useful approach for analyzing such data. By allowing different…

Methodology · Statistics 2018-07-23 Lan Wang , Ingrid Van Keilegrom , Adam Maidman

Randomized experiments have become a cornerstone of evidence-based decision-making in contexts ranging from online platforms to public health. However, in experimental settings with network interference, a unit's treatment can influence…

Machine Learning · Computer Science 2025-10-22 Sadegh Shirani , Yuwei Luo , William Overman , Ruoxuan Xiong , Mohsen Bayati

Mediation analysis is a form of causal inference that investigates indirect effects and causal mechanisms. Confidence intervals for indirect effects play a central role in conducting inference. The problem is non-standard leading to…

Econometrics · Economics 2024-12-17 Kees Jan van Garderen , Noud van Giersbergen

Model misspecification is ubiquitous in data analysis because the data-generating process is often complex and mathematically intractable. Therefore, assessing estimation uncertainty and conducting statistical inference under a possibly…

Methodology · Statistics 2023-12-19 Rong Li , Yichen Qin , Yang Li

The cumulative incidence is the probability of failure from the cause of interest over a certain time period in the presence of other risks. A semiparametric regression model proposed by Fine and Gray (1999) has become the method of choice…

Methodology · Statistics 2016-03-02 Lu Mao , D. Y. Lin

We introduce a self-censoring model for multivariate nonignorable nonmonotone missing data, where the missingness process of each outcome is affected by its own value and is associated with missingness indicators of other outcomes, while…

Methodology · Statistics 2022-10-03 Yilin Li , Wang Miao , Ilya Shpitser , Eric J. Tchetgen Tchetgen

A key challenge in analyzing the behavior of change-plane estimators is that the objective function has multiple minimizers. Two estimators are proposed to deal with this non-uniqueness. For each estimator, an n-rate of convergence is…

Statistics Theory · Mathematics 2024-01-17 Chaeryon Kang , Hunyong Cho , Rui Song , Moulinath Banerjee , Eric B. Laber , Michael R. Kosorok

One of the most commonly used methods for forming confidence intervals for statistical inference is the empirical bootstrap, which is especially expedient when the limiting distribution of the estimator is unknown. However, despite its…

Statistics Theory · Mathematics 2020-11-24 Morgane Austern , Vasilis Syrgkanis

We develop inference procedures for longitudinal data where some of the measurements are censored by fixed constants. We consider a semi-parametric quantile regression model that makes no distributional assumptions. Our research is…

Statistics Theory · Mathematics 2009-04-02 Huixia Judy Wang , Mendel Fygenson

The bootstrap is a method for estimating the distribution of an estimator or test statistic by re-sampling the data or a model estimated from the data. Under conditions that hold in a wide variety of econometric applications, the bootstrap…

Econometrics · Economics 2018-09-12 Joel L. Horowitz

The pseudo-observation method is regularly applied to time-to-event data. However, to date such analyses have relied on not formally verified statements or ad-hoc methods regarding covariance estimation. This paper strives to close this gap…

Methodology · Statistics 2026-01-23 Simon Mack , Morten Overgaard , Dennis Dobler

Censored survival data are common in clinical trial studies. We propose a unified framework for sensitivity analysis to censoring at random in survival data using multiple imputation and martingale, called SMIM. The proposed framework…

Methodology · Statistics 2021-05-17 Shu Yang , Yilong Zhang , Guanghan Frank Liu , Qian Guan

We propose a censored quantile regression estimator motivated by unbiased estimating equations. Under the usual conditional independence assumption of the survival time and the censoring time given the covariates, we show that the proposed…

Statistics Theory · Mathematics 2013-02-04 Chenlei Leng , Xingwei Tong

Bootstrap is a useful tool for making statistical inference, but it may provide erroneous results under complex survey sampling. Most studies about bootstrap-based inference are developed under simple random sampling and stratified random…

Statistics Theory · Mathematics 2019-01-08 Zhonglei Wang , Jae Kwang Kim , Liuhua Peng

Data integration methods aim to extract low-dimensional embeddings from high-dimensional outcomes to remove unwanted variations, such as batch effects and unmeasured covariates, across heterogeneous datasets. However, multiple hypothesis…

Methodology · Statistics 2025-12-15 Jin-Hong Du , Kathryn Roeder , Larry Wasserman

In this paper, we propose a new statistical inference method for massive data sets, which is very simple and efficient by combining divide-and-conquer method and empirical likelihood. Compared with two popular methods (the bag of little…

Methodology · Statistics 2020-04-21 Xuejun Ma , Shaochen Wang , Wang Zhou

Statistical multispecies models of multiarea marine ecosystems use a variety of data sources to estimate parameters using composite or weighted likelihood functions with associated weighting issues and questions on how to obtain variance…

Applications · Statistics 2012-02-16 Lorna Taylor , Verena M. Trenkel , Vojtech Kupca , Gunnar Stefansson