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We extend conformal prediction methodology beyond the case of exchangeable data. In particular, we show that a weighted version of conformal prediction can be used to compute distribution-free prediction intervals for problems in which the…

统计方法学 · 统计学 2020-07-08 Ryan J. Tibshirani , Rina Foygel Barber , Emmanuel J. Candes , Aaditya Ramdas

We consider the setting of an aggregate data meta-analysis of a continuous outcome of interest. When the distribution of the outcome is skewed, it is often the case that some primary studies report the sample mean and standard deviation of…

Completely randomized experiments have been the gold standard for drawing causal inference because they can balance all potential confounding on average. However, they may suffer from unbalanced covariates for realized treatment…

统计理论 · 数学 2022-10-18 Yuhao Wang , Xinran Li

Inverse Probability Weighting (IPW) is widely used in empirical work in economics and other disciplines. As Gaussian approximations perform poorly in the presence of "small denominators," trimming is routinely employed as a regularization…

计量经济学 · 经济学 2019-05-28 Xinwei Ma , Jingshen Wang

Evaluating treatment effect heterogeneity widely informs treatment decision making. At the moment, much emphasis is placed on the estimation of the conditional average treatment effect via flexible machine learning algorithms. While these…

统计方法学 · 统计学 2021-05-07 Lihua Lei , Emmanuel J. Candès

We propose a doubly robust approach to characterizing treatment effect heterogeneity in observational studies. We develop a frequentist inferential procedure that utilizes posterior distributions for both the propensity score and outcome…

统计方法学 · 统计学 2022-07-21 Heejun Shin , Joseph Antonelli

One of the fundamental challenges in drawing causal inferences from observational studies is that the assumption of no unmeasured confounding is not testable from observed data. Therefore, assessing sensitivity to this assumption's…

统计方法学 · 统计学 2024-06-25 Md Abdul Basit , Mahbub A. H. M. Latif , Abdus S Wahed

With the ubiquitous availability of unstructured data, growing attention is paid as how to adjust for selection bias in such non-probability samples. The majority of the robust estimators proposed by prior literature are either fully or…

统计方法学 · 统计学 2022-04-08 Ali Rafei , Michael R. Elliott , Carol A. C. Flannagan

The linear regression model is widely used in empirical work in Economics, Statistics, and many other disciplines. Researchers often include many covariates in their linear model specification in an attempt to control for confounders. We…

统计理论 · 数学 2017-12-12 Matias D. Cattaneo , Michael Jansson , Whitney K. Newey

Causal inference methods such as instrumental variables, regression discontinuity, and difference-in-differences are widely used to identify and estimate treatment effects. However, when outcomes are qualitative, their application poses…

计量经济学 · 经济学 2025-06-30 Riccardo Di Francesco , Giovanni Mellace

Ordinal outcomes are common in clinical settings where they often represent increasing levels of disease progression or different levels of functional impairment. Such outcomes can characterize differences in meaningful patient health…

统计方法学 · 统计学 2025-08-29 Zhiqiang Cao , Scott Zuo , Mary Ryan Baumann , Kendra Plourde , Patrick Heagerty , Guangyu Tong , Fan Li

We study estimation and inference using data collected by reinforcement learning (RL) algorithms. These algorithms adaptively experiment by interacting with individual units over multiple stages, updating their strategies based on past…

机器学习 · 统计学 2025-10-06 Vasilis Syrgkanis , Ruohan Zhan

Researchers frequently estimate treatment effects by regressing outcomes (Y) on treatment (D) and covariates (X). Even without unobserved confounding, the coefficient on D yields a conditional-variance-weighted average of strata-wise…

统计方法学 · 统计学 2025-05-05 Tanvi Shinkre , Chad Hazlett

Quantile regression is a powerful statistical methodology that complements the classical linear regression by examining how covariates influence the location, scale, and shape of the entire response distribution and offering a global view…

应用统计 · 统计学 2013-09-11 Lu Xiaoming , Fan Zhaozhi

Over the last few decades, various methods have been proposed for estimating prediction intervals in regression settings, including Bayesian methods, ensemble methods, direct interval estimation methods and conformal prediction methods. An…

机器学习 · 统计学 2024-04-02 Nicolas Dewolf , Bernard De Baets , Willem Waegeman

In this work, we consider causal inference in various high-dimensional treatment settings, including for single multi-valued treatments and vector treatments with binary or continuous components, when the number of treatments can be…

统计理论 · 数学 2026-02-26 Patrick Kramer , Edward H. Kennedy , Isaac M. Opper

Propensity score plays a central role in causal inference, but its use is not limited to causal comparisons. As a covariate balancing tool, propensity score can be used for controlled descriptive comparisons between groups whose memberships…

统计方法学 · 统计学 2022-09-09 Fan Li , Fan Li

The issue of estimating residual variance in regression models has experienced relatively little attention in the machine learning community. However, the estimate is of primary interest in many practical applications, e.g. as a primary…

统计理论 · 数学 2018-12-18 Burim Ramosaj , Markus Pauly

Statistical inference on the explained variation of an outcome by a set of covariates is of particular interest in practice. When the covariates are of moderate to high-dimension and the effects are not sparse, several approaches have been…

统计方法学 · 统计学 2022-01-24 Hua Yun Chen

A crucial input into causal inference is the imputed counterfactual outcome. Imputation error can arise because of sampling uncertainty from estimating the prediction model using the untreated observations, or from out-of-sample information…

计量经济学 · 经济学 2024-05-20 Silvia Goncalves , Serena Ng
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