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Longitudinal data are commonly encountered in biomedical research, including randomized trials and retrospective cohort studies. Subjects are typically followed over a period of time and may be scheduled for follow-up at pre-determined time…

Methodology · Statistics 2025-10-23 George Stefan , Eleanor Pullenayegum

Combining information from multiple samples is often needed in biomedical and economic studies, but the differences between these samples must be appropriately taken into account in the analysis of the combined data. We study estimation for…

Methodology · Statistics 2018-08-14 Heng Shu , Zhiqiang Tan

The importance weighted autoencoder (IWAE) (Burda et al., 2016) is a popular variational-inference method which achieves a tighter evidence bound (and hence a lower bias) than standard variational autoencoders by optimising a multi-sample…

Machine Learning · Statistics 2019-09-20 Axel Finke , Alexandre H. Thiery

The use of inverse probability weighting (IPW) methods to estimate the causal effect of treatments from observational studies is widespread in econometrics, medicine and social sciences. Although these studies often involve sensitive…

Machine Learning · Computer Science 2019-11-04 Si Kai Lee , Luigi Gresele , Mijung Park , Krikamol Muandet

Weighted likelihood, in which one solves Horvitz-Thompson or inverse probability weighted (IPW) versions of the likelihood equations, offers a simple and robust method for fitting models to two phase stratified samples. We consider…

Statistics Theory · Mathematics 2007-06-13 Norman E. Breslow , Jon A. Wellner

Reliable estimation of predictive performance is essential for spatial environmental modeling, where machine-learning models are used to generate maps from unevenly distributed observations. Standard cross-validation (CV) assumes that…

Machine Learning · Computer Science 2026-05-22 Alexander Brenning , Thomas Suesse

A natural method for approximating out-of-sample predictive evaluation is leave-one-out cross-validation (LOOCV) --- we alternately hold out each case from a full data set and then train a Bayesian model using Markov chain Monte Carlo…

Methodology · Statistics 2017-04-28 Longhai Li , Shi Qiu , Bei Zhang , Cindy X. Feng

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…

Statistics Theory · Mathematics 2026-02-24 Marco Avella-Medina , Richard Davis , Gennady Samorodnitsky

How to deal with missing data in observational studies is a common concern for causal inference. When the covariates are missing at random (MAR), multiple approaches have been provided to help solve the issue. However, if the exposure is…

Methodology · Statistics 2024-06-14 Yuliang Shi , Yeying Zhu , Joel A. Dubin

Propensity score (PS) methods are widely used to estimate treatment effects in non-randomized studies. Variance is typically estimated using sandwich or bootstrap methods, which can either treat the PS as estimated or fixed. The latter is…

Methodology · Statistics 2025-11-17 Baoshan Zhang , Sean M. O'Brien , Yuan Wu , Laine E. Thomas

The gold standard for causal model evaluation involves comparing model predictions with true effects estimated from randomized controlled trials (RCT). However, RCTs are not always feasible or ethical to perform. In contrast, conditionally…

Machine Learning · Computer Science 2023-11-06 Chao Ma , Cheng Zhang

Our work was motivated by a recent study on birth defects of infants born to pregnant women exposed to a certain medication for treating chronic diseases. Outcomes such as birth defects are rare events in the general population, which often…

Applications · Statistics 2017-02-24 Ronghui Xu , Jue Hou , Christina D. Chambers

Global Positioning System (GPS) derived precipitable water vapor (PWV) is extensively being used in atmospheric remote sensing for applications like rainfall prediction. Many applications require PWV values with good resolution and without…

Atmospheric and Oceanic Physics · Physics 2019-03-18 Shilpa Manandhar , Soumyabrata Dev , Yee Hui Lee , Stefan Winkler

We propose a data-adaptive probabilistic intensity remapping framework for structure-preserving transformation of grayscale images. The suggested method formulates intensity transformation as a continuous, data-driven remapping process, in…

Quantum Physics · Physics 2026-04-24 Debashis Saikia , Bikash K. Behera , Mayukha Pal , Prasanta K. Panigrahi

Marginal structural models (MSMs) with inverse probability weighting offer an approach to estimating causal effects of treatment sequences on repeated outcome measures in the presence of time-varying confounding and dependent censoring.…

Methodology · Statistics 2018-07-02 Sean Yiu , Li Su

Propensity score weighting is an important tool for comparative effectiveness research.Besides the inverse probability of treatment weights (IPW), recent development has introduced a general class of balancing weights, corresponding to…

Methodology · Statistics 2022-09-05 Tianhui Zhou , Guangyu Tong , Fan Li , Laine E. Thomas , Fan Li

In the field of spatial data analysis, spatially varying coefficients (SVC) models, which allow regression coefficients to vary by region and flexibly capture spatial heterogeneity, have continued to be developed in various directions.…

Methodology · Statistics 2025-10-14 Yuko Kakikawa , Yoshiyuki Ninomiya

In causal inference, the Inverse Probability Weighting (IPW) estimator is commonly used to estimate causal effects for estimands within the class of Weighted Average Treatment Effect (WATE). When constructing confidence intervals (CIs),…

Methodology · Statistics 2023-12-14 Shunichiro Orihara

An informative sampling design leads to the selection of units whose inclusion probabilities are correlated with the response variable of interest. Model inference performed on the resulting observed sample will be biased for the population…

Methodology · Statistics 2018-06-29 Matthew R. Williams , Terrance D. Savitsky

The last decade has seen an explosion in data sources available for the monitoring and prediction of environmental phenomena. While several inferential methods have been developed that make predictions on the underlying process by combining…

Methodology · Statistics 2023-03-06 Eun-Hye Yoo , Andrew Zammit-Mangion , Michael G. Chipeta