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Inverse probability weighting (IPW) is widely used in many areas when data are subject to unrepresentativeness, missingness, or selection bias. An inevitable challenge with the use of IPW is that the IPW estimator can be remarkably unstable…

统计方法学 · 统计学 2021-11-29 Yukun Liu , Yan Fan

We consider the class of inverse probability weight (IPW) estimators, including the popular Horvitz-Thompson and Hajek estimators used routinely in survey sampling, causal inference and evidence estimation for Bayesian computation. We focus…

统计方法学 · 统计学 2025-04-15 Jyotishka Datta , Nicholas Polson

Matching a nonprobability sample to a probability sample is one strategy both for selecting the nonprobability units and for weighting them. This approach has been employed in the past to select subsamples of persons from a large panel of…

统计方法学 · 统计学 2021-12-03 Zhan Liu , Richard Valliant

This paper presents theoretical results on combining non-probability and probability survey samples through mass imputation, an approach originally proposed by Rivers (2007) as sample matching without rigorous theoretical justification.…

统计方法学 · 统计学 2020-11-24 Jae Kwang Kim , Seho Park , Yilin Chen , Changbao Wu

It has historically been a challenge to perform Bayesian inference in a design-based survey context. The present paper develops a Bayesian model for sampling inference in the presence of inverse-probability weights. We use a hierarchical…

统计方法学 · 统计学 2020-06-24 Yajuan Si , Natesh S. Pillai , Andrew Gelman

Statistical inference with non-probability survey samples is an emerging topic in survey sampling and official statistics and has gained increased attention from researchers and practitioners in the field. Much of the existing literature,…

统计方法学 · 统计学 2024-10-07 Yang Liu , Meng Yuan , Pengfei Li , Changbao Wu

The declining response rates in probability surveys along with the widespread availability of unstructured data has led to growing research into non-probability samples. Existing robust approaches are not well-developed for non-Gaussian…

统计方法学 · 统计学 2022-03-29 Ali Rafei , Michael R. Elliott , Carol A. C. Flannagan

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

Causal weighted quantile treatment effects (WQTE) are a useful complement to standard causal contrasts that focus on the mean when interest lies at the tails of the counterfactual distribution. To-date, however, methods for estimation and…

In this paper, we combine calibration for population totals proposed by Deville and S\"arndal (1992) with calibration for population quantiles introduced by Harms and Duchesne (2006). We also extend the pseudo-empirical likelihood method…

统计方法学 · 统计学 2023-08-28 Maciej Beręsewicz , Marcin Szymkowiak

Doubly robust estimators combine an inverse probability weighting estimator and a mass imputation estimator. Several doubly robust estimators for estimating the population mean (or prevalence) of an outcome have been proposed for…

统计方法学 · 统计学 2025-08-11 Shaun R Seaman , Tommy Nyberg , Anne M Presanis

In observational studies, the propensity score plays a central role in estimating causal effects of interest. The inverse probability weighting (IPW) estimator is commonly used for this purpose. However, if the propensity score model is…

统计方法学 · 统计学 2025-03-21 Shunichiro Orihara , Tomotaka Momozaki , Tomoyuki Nakagawa

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…

统计方法学 · 统计学 2018-05-17 Yilin Chen , Pengfei Li , Changbao Wu

Weighting methods in causal inference have been widely used to achieve a desirable level of covariate balancing. However, the existing weighting methods have desirable theoretical properties only when a certain model, either the propensity…

机器学习 · 统计学 2023-05-24 Insung Kong , Yuha Park , Joonhyuk Jung , Kwonsang Lee , Yongdai Kim

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

Motivated by real-world situations found in high energy particle physics, we consider a generalisation of the likelihood-ratio estimation task to a quasiprobabilistic setting where probability densities can be negative. By extension, this…

机器学习 · 统计学 2024-10-15 Matthew Drnevich , Stephen Jiggins , Judith Katzy , Kyle Cranmer

We investigate the issue of parameter estimation with nonuniform negative sampling for imbalanced data. We first prove that, with imbalanced data, the available information about unknown parameters is only tied to the relatively small…

机器学习 · 统计学 2021-10-26 HaiYing Wang , Aonan Zhang , Chong Wang

With the increasing availability of data from historical studies and real-world data sources, hybrid control designs that incorporate external data into the evaluation of current studies are being increasingly adopted. In these designs, it…

统计方法学 · 统计学 2025-06-23 Masahiro Kojima , Shunichiro Orihara , Keisuke Hanada , Tomohiro Ohigashi

In this paper, we propose an empirical likelihood-based weighted estimator of regression parameter in quantile regression model with nonignorable missing covariates. The proposed estimator is computationally simple and achieves…

统计方法学 · 统计学 2017-10-10 Xiaohui Yuan , Xiaogang Dong

We consider the problem of estimating quantile treatment effects without assuming strict overlap , i.e., we do not assume that the propensity score is bounded away from zero. More specifically, we consider an inverse probability weighting…

统计理论 · 数学 2026-02-24 Marco Avella-Medina , Richard Davis , Gennady Samorodnitsky
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