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Using modifications of Lindeberg's interpolation technique, I propose a new identification-robust test for the structural parameter in a heteroskedastic instrumental variables model. While my analysis allows the number of instruments to be…

Econometrics · Economics 2024-12-17 Manu Navjeevan

This paper studies a potential outcome model with a continuous or discrete outcome, a discrete multi-valued treatment, and a discrete multi-valued instrument. We derive sharp, closed-form testable implications for a class of restrictions on…

Econometrics · Economics 2025-11-19 Yuehao Bai , Shunzhuang Huang , Max Tabord-Meehan

In Bayesian analysis, the posterior follows from the data and a choice of a prior and a likelihood. One hopes that the posterior is robust to reasonable variation in the choice of prior, since this choice is made by the modeler and is often…

Methodology · Statistics 2016-12-07 Ryan Giordano , Tamara Broderick , Michael Jordan

Suppose we are interested in the mean of an outcome that is subject to nonignorable nonresponse. This paper develops new semiparametric estimation methods with instrumental variables which affect nonresponse, but not the outcome. The…

Methodology · Statistics 2024-08-20 Baoluo Sun , Wang Miao , Deshanee S. Wickramarachchi

Models of discrete-valued outcomes are easily misspecified if the data exhibit zero-inflation, overdispersion or contamination. Without additional knowledge about the existence and nature of this misspecification, model inference and…

Methodology · Statistics 2020-10-27 Jeremias Knoblauch , Lara Vomfell

We establish a general framework for statistical inferences with non-probability survey samples when relevant auxiliary information is available from a probability survey sample. We develop a rigorous procedure for estimating the propensity…

Methodology · Statistics 2018-05-17 Yilin Chen , Pengfei Li , Changbao Wu

The model-X conditional randomization test is a generic framework for conditional independence testing, unlocking new possibilities to discover features that are conditionally associated with a response of interest while controlling type-I…

Machine Learning · Computer Science 2023-02-21 Shalev Shaer , Yaniv Romano

This paper provides clear and practical guidance on the specification of imputation models when multiple imputation is used in conjunction with doubly robust estimation methods for causal inference. Through theoretical arguments and…

Methodology · Statistics 2025-12-19 Lucy D'Agostino McGowan

We address the issue of semiparametric efficiency in the bivariate regression problem with a highly persistent predictor, where the joint distribution of the innovations is regarded an infinite-dimensional nuisance parameter. Using a…

Econometrics · Economics 2020-09-18 Bas Werker , Bo Zhou

In observational study, the propensity score has the central role to estimate causal effects. Since the propensity score is usually unknown, estimating by appropriate procedures is an indispensable step. A point to note that a causal effect…

Methodology · Statistics 2023-01-19 Shunichiro Orihara

Doubly robust learning offers a robust framework for causal inference from observational data by integrating propensity score and outcome modeling. Despite its theoretical appeal, practical adoption remains limited due to perceived…

Machine Learning · Statistics 2024-07-09 Hlynur Davíð Hlynsson

In Cox regression it is sometimes of interest to study time-varying effects (TVE) of exposures and to test the proportional hazards assumption. TVEs can be investigated with log hazard ratios modelled as a function of time. Missing data on…

Methodology · Statistics 2021-12-07 Ruth H. Keogh , Tim P. Morris

Mendelian randomization uses genetic variants as instrumental variables to make causal inferences about the effects of modifiable risk factors on diseases from observational data. One of the major challenges in Mendelian randomization is…

Methodology · Statistics 2024-10-29 Youpeng Su , Siqi Xu , Yilei Ma , Ping Yin , Wing Kam Fung , Hongwei Jiang , Peng Wang

Unobserved confounding prevents standard covariate adjustment from identifying causal response functions in observational studies. Proxy causal learning addresses this problem through bridge equations involving treatment- and…

Machine Learning · Computer Science 2026-05-12 Bariscan Bozkurt , Alexandre Galashov , Dimitri Meunier , Zikai Shen , Arthur Gretton , Houssam Zenati

We establish the asymptotic validity of the bootstrap-based IVX estimator proposed by Phillips and Magdalinos (2009) for the predictive regression model parameter based on a local-to-unity specification of the autoregressive coefficient…

Econometrics · Economics 2023-07-28 Christis Katsouris

Recently, interest has grown in the use of proxy variables of unobserved confounding for inferring the causal effect in the presence of unmeasured confounders from observational data. One difficulty inhibiting the practical use is finding…

Machine Learning · Computer Science 2024-05-28 Feng Xie , Zhengming Chen , Shanshan Luo , Wang Miao , Ruichu Cai , Zhi Geng

Existing sequential generalized estimating equation methodology for longitudinal and group-correlated data focuses on narrow hypotheses concerning treatment efficacy and often makes modeling assumptions that impede the desirable robustness…

Methodology · Statistics 2026-03-16 Nathan T. Provost , Abdus S. Wahed

We consider a class of semiparametric regression models which are one-parameter extensions of the Cox [J. Roy. Statist. Soc. Ser. B 34 (1972) 187-220] model for right-censored univariate failure times. These models assume that the hazard…

Statistics Theory · Mathematics 2007-06-13 Michael R. Kosorok , Bee Leng Lee , Jason P. Fine

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

Bayesian doubly robust (DR) causal inference faces a fundamental dilemma: joint modeling of outcome and propensity score suffers from the feedback problem where outcome information contaminates propensity score estimation, while two-step…

Methodology · Statistics 2026-01-05 Shunichiro Orihara , Tomotaka Momozaki , Shonosuke Sugasawa
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