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We aim to make inferences about a smooth, finite-dimensional parameter by fusing data from multiple sources together. Previous works have studied the estimation of a variety of parameters in similar data fusion settings, including in the…

Methodology · Statistics 2025-02-03 Sijia Li , Alex Luedtke

In today's modern era of Big data, computationally efficient and scalable methods are needed to support timely insights and informed decision making. One such method is sub-sampling, where a subset of the Big data is analysed and used as…

Methodology · Statistics 2022-09-07 Amalan Mahendran , Helen Thompson , James M. McGree

In performative stochastic optimization, decisions can influence the distribution of random parameters, rendering the data-generating process itself decision-dependent. In practice, decision-makers rarely have access to the true…

Optimization and Control · Mathematics 2025-10-27 Zhuangzhuang Jia , Yijie Wang , Roy Dong , Grani A. Hanasusanto

In this paper, we address the problem of two-sample testing in the presence of missing data under a variety of missingness mechanisms. Our focus is on the well-known energy distance-based two-sample test. In addition to the standard…

Methodology · Statistics 2025-08-18 Danijel G. Aleksić , Bojana Milošević

A ubiquitous feature of data of our era is their extra-large sizes and dimensions. Analyzing such high-dimensional data poses significant challenges, since the feature dimension is often much larger than the sample size. This thesis…

Statistics Theory · Mathematics 2025-09-11 Kai Yang

Doubly protected estimators are widely used for estimating the population mean of an outcome Y from a sample where the response is missing in some individuals. To compensate for the missing responses, a vector X of covariates is observed at…

Methodology · Statistics 2017-11-07 Julieta Molina , Mariela Sued , Marina Valdora , Víctor Yohai

We investigate a data-driven approach to constructing uncertainty sets for robust optimization problems, where the uncertain problem parameters are modeled as random variables whose joint probability distribution is not known. Relying only…

Optimization and Control · Mathematics 2020-09-22 Polina Alexeenko , Eilyan Bitar

It has recently been shown that an unbinned distance-based statistic, the energy, can be used to construct an extremely powerful nonparametric multivariate two sample goodness-of-fit test. An extension to this method that makes it possible…

Data Analysis, Statistics and Probability · Physics 2011-10-11 Mike Williams

We develop inference procedures robust to general forms of weak dependence. The procedures utilize test statistics constructed by resampling in a manner that does not depend on the unknown correlation structure of the data. We prove that…

Econometrics · Economics 2021-08-26 Michael P. Leung

Model-based reinforcement learning is a widely accepted solution for solving excessive sample demands. However, the predictions of the dynamics models are often not accurate enough, and the resulting bias may incur catastrophic decisions…

Machine Learning · Computer Science 2024-05-03 Wanpeng Zhang , Xi Xiao , Yao Yao , Mingzhe Chen , Dijun Luo

We consider the conditional treatment effect for competing risks data in observational studies. While it is described as a constant difference between the hazard functions given the covariates, we do not assume specific functional forms for…

Applications · Statistics 2021-12-28 Denise Rava , Ronghui Xu

Examples of "doubly robust" estimator for missing data include augmented inverse probability weighting (AIPWT) models (Robins et al., 1994) and penalized splines of propensity prediction (PSPP) models (Zhang and Little, 2009). Doubly-robust…

Applications · Statistics 2025-09-16 Yaoyuan V. Tan , Carol A. C. Flannagan , Michael R. Elliott

Ecological Momentary Assessments (EMA) capture real-time thoughts and behaviors in natural settings, producing rich longitudinal data for statistical and physiological analyses. However, the robustness of these analyses can be compromised…

Methodology · Statistics 2023-11-21 Yiheng Wei , Donald Hedeker

In this paper we have considered the problem of estimating the population mean in systematic sampling using information on an auxiliary variable in presence of non response. Some modified ratio, product and difference type estimators in…

Methodology · Statistics 2014-03-06 Hemant K. Verma , R. D. Singh , Rajesh Singh

Due to concerns about parametric model misspecification, there is interest in using machine learning to adjust for confounding when evaluating the causal effect of an exposure on an outcome. Unfortunately, exposure effect estimators that…

Methodology · Statistics 2025-01-08 Oliver Dukes , Stijn Vansteelandt , David Whitney

Mutual Information (MI) is a crucial measure for capturing dependencies between variables, but exact computation is challenging in high dimensions with intractable likelihoods, impacting accuracy and robustness. One idea is to use an…

Machine Learning · Statistics 2025-03-13 Forough Fazeliasl , Michael Minyi Zhang , Bei Jiang , Linglong Kong

We study the problem of multi-task non-smooth optimization that arises ubiquitously in statistical learning, decision-making and risk management. We develop a data fusion approach that adaptively leverages commonalities among a large number…

Machine Learning · Statistics 2022-10-25 Henry Lam , Kaizheng Wang , Yuhang Wu , Yichen Zhang

We consider the efficient estimation of the semiparametric additive transformation model with current status data. A wide range of survival models and econometric models can be incorporated into this general transformation framework. We…

Statistics Theory · Mathematics 2011-05-09 Guang Cheng , Xiao Wang

When the response mechanism is believed to be not missing at random (NMAR), a valid analysis requires stronger assumptions on the response mechanism than standard statistical methods would otherwise require. Semiparametric estimators have…

Methodology · Statistics 2020-05-08 Kosuke Morikawa , Jae Kwang Kim

This paper develops a new approach to post-selection inference for screening high-dimensional predictors of survival outcomes. Post-selection inference for right-censored outcome data has been investigated in the literature, but much…

Methodology · Statistics 2021-12-22 Tzu-Jung Huang , Alex Luedtke , Ian W. McKeague