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This paper tackles the problem of robust covariance matrix estimation when the data is incomplete. Classical statistical estimation methodologies are usually built upon the Gaussian assumption, whereas existing robust estimation ones assume…

Conformal prediction has received tremendous attention in recent years and has offered new solutions to problems in missing data and causal inference; yet these advances have not leveraged modern semiparametric efficiency theory for more…

Methodology · Statistics 2022-12-14 Yachong Yang , Arun Kumar Kuchibhotla , Eric Tchetgen Tchetgen

In precision medicine, one of the most important problems is estimating the optimal individualized treatment rules (ITR), which typically involves recommending treatment decisions based on fully observed individual characteristics of…

Methodology · Statistics 2025-10-15 Yue Zhang , Shanshan Luo , Zhi Geng , Yangbo He

The class of dual $\phi$-divergence estimators (introduced in Broniatowski and Keziou (2009) is explored with respect to robustness through the influence function approach. For scale and location models, this class is investigated in terms…

Statistics Theory · Mathematics 2009-12-15 Aida Toma , Michel Broniatowski

We introduce a framework for estimating causal effects of binary and continuous treatments in high dimensions. We show how posterior distributions of treatment and outcome models can be used together with doubly robust estimators. We…

Methodology · Statistics 2020-10-06 Joseph Antonelli , Georgia Papadogeorgou , Francesca Dominici

We revisit the problem of estimating the local average treatment effect (LATE) and the local average treatment effect on the treated (LATT) when control variables are available, either to render the instrumental variable (IV) suitably…

Econometrics · Economics 2022-11-16 Tymon Słoczyński , S. Derya Uysal , Jeffrey M. Wooldridge

In recent years, there has been a growing interest in statistical methods that exhibit robust performance under distribution changes between training and test data. While most of the related research focuses on point predictions with the…

Methodology · Statistics 2024-06-18 Alexander Henzi , Xinwei Shen , Michael Law , Peter Bühlmann

This paper addresses the problem of providing robust estimators under a functional logistic regression model. Logistic regression is a popular tool in classification problems with two populations. As in functional linear regression,…

Methodology · Statistics 2023-08-16 Graciela Boente , Marina Valdora

Survey data typically have missing values due to unit and item nonresponse. Sometimes, survey organizations know the marginal distributions of certain categorical variables in the survey. As shown in previous work, survey organizations can…

Methodology · Statistics 2025-09-01 Kewei Xu , Jerome P. Reiter

This paper develops a unified framework for estimating continuous outcomes under multiple treatment levels in observational studies. We integrate the Generalized Propensity Score (GPS), Covariate Balancing Propensity Score (CBPS), and…

Methodology · Statistics 2025-09-22 Byeonghee Lee , Joonsung Kang

Generalized Estimation Equations (GEE) are a well-known method for the analysis of non-Gaussian longitudinal data. This method has computational simplicity and marginal parameter interpretation. However, in the presence of missing data, it…

Methodology · Statistics 2015-06-16 José Luiz P. da Silva , Enrico A. Colosimo , Fábio N. Demarqui

In this paper, we suggest an estimator using two auxiliary variables in stratified random sampling. The propose estimator has an improvement over mean per unit estimator as well as some other considered estimators. Expressions for bias and…

Applications · Statistics 2014-04-01 Rajesh Singh , Sachin Malik

This paper aims to provide practitioners of causal mediation analysis with a better understanding of estimation options. We take as inputs two familiar strategies (weighting and model-based prediction) and a simple way of combining them…

A general method to combine several estimators of the same quantity is investigated. In the spirit of model and forecast averaging, the final estimator is computed as a weighted average of the initial ones, where the weights are constrained…

Methodology · Statistics 2015-05-26 Frédéric Lavancier , Paul Rochet

Adaptive experiments, including efficient average treatment effect estimation and multi-armed bandit algorithms, have garnered attention in various applications, such as social experiments, clinical trials, and online advertisement…

Methodology · Statistics 2021-03-24 Masahiro Kato

We suggest double/debiased machine learning estimators of direct and indirect quantile treatment effects under a selection-on-observables assumption. This permits disentangling the causal effect of a binary treatment at a specific outcome…

Econometrics · Economics 2023-07-04 Yu-Chin Hsu , Martin Huber , Yu-Min Yen

Non-parametric estimation of a multivariate density estimation is tackled via a method which combines traditional local smoothing with a form of global smoothing but without imposing a rigid structure. Simulation work delivers encouraging…

Methodology · Statistics 2016-10-10 Adelchi Azzalini

Doubly robust estimators with cross-fitting have gained popularity in causal inference due to their favorable structure-agnostic error guarantees. However, when additional structure, such as H\"{o}lder smoothness, is available then more…

Statistics Theory · Mathematics 2025-05-08 Alec McClean , Sivaraman Balakrishnan , Edward H. Kennedy , Larry Wasserman

In this paper, we develop a multiply robust inference procedure of the average treatment effect (ATE) for data with high-dimensional covariates. We consider the case where it is difficult to correctly specify a single parametric model for…

Methodology · Statistics 2025-09-03 Xintao Xia , Yumou Qiu

When estimating the treatment effect in an observational study, we use a semiparametric locally efficient dimension reduction approach to assess both the treatment assignment mechanism and the average responses in both treated and…

Methodology · Statistics 2020-10-26 Trinetri Ghosh , Yanyuan Ma , Xavier de Luna
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