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Missing data arises when certain values are not recorded or observed for variables of interest. However, most of the statistical theory assume complete data availability. To address incomplete databases, one approach is to fill the gaps…

Semi-competing risks data arise when both non-terminal and terminal events are considered in a model. Such data with multiple events of interest are frequently encountered in medical research and clinical trials. In this framework, terminal…

Methodology · Statistics 2022-11-21 Fatemeh Mahmoudi , Xuewen Lu

Motivated by the Acute Respiratory Distress Syndrome Network (ARDSNetwork) ARDS respiratory management (ARMA) trial, we developed a flexible Bayesian machine learning approach to estimate the average causal effect and heterogeneous causal…

Applications · Statistics 2024-10-29 Xinyuan Chen , Michael O. Harhay , Guangyu Tong , Fan Li

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…

Bayesian Additive Regression Trees (BART) is a nonparametric Bayesian regression technique of rising fame. It is a sum-of-decision-trees model, and is in some sense the Bayesian version of boosting. In the limit of infinite trees, it…

Machine Learning · Statistics 2025-07-14 Giacomo Petrillo

Multiple imputation is widely used for handling missing data in real-world applications. For variable selection on multiply-imputed datasets, however, if selection is performed on each imputed dataset separately, it can result in different…

Methodology · Statistics 2025-08-07 Jungang Zou , Sijian Wang , Qixuan Chen

Omic data are characterized by the presence of strong dependence structures that result either from data acquisition or from some underlying biological processes. In metabolomics, for instance, data resulting from Liquid Chromatography-Mass…

Modern data acquisition based on high-throughput technology is often facing the problem of missing data. Algorithms commonly used in the analysis of such large-scale data often depend on a complete set. Missing value imputation offers a…

Applications · Statistics 2014-06-03 Daniel J. Stekhoven , Peter Bühlmann

The multivariate linear regression model is an important tool for investigating relationships between several response variables and several predictor variables. The primary interest is in inference about the unknown regression coefficient…

Statistics Theory · Mathematics 2017-09-13 Daniel J. Eck

While widely used as a general method for uncertainty quantification, the bootstrap method encounters difficulties that raise concerns about its validity in practical applications. This paper introduces a new resampling-based method, termed…

Methodology · Statistics 2024-08-30 Yiran Jiang , Chuanhai Liu , Heping Zhang

Decision trees are powerful for predictive modeling but often suffer from high variance when modeling continuous relationships. While algorithms like Multivariate Adaptive Regression Splines (MARS) excel at capturing such continuous…

Machine Learning · Statistics 2024-10-10 William Pattie , Arvind Krishna

Imputation methods for dealing with incomplete data typically assume that the missingness mechanism is at random (MAR). These methods can also be applied to missing not at random (MNAR) situations, where the user specifies some adjustment…

Methodology · Statistics 2024-04-24 Shahab Jolani , Stef van Buuren

Pre-trained machine learning (ML) predictions have been increasingly used to complement incomplete data to enable downstream scientific inquiries, but their naive integration risks biased inferences. Recently, multiple methods have been…

Methodology · Statistics 2025-11-12 Xingran Chen , Tyler McCormick , Bhramar Mukherjee , Zhenke Wu

Multiple imputation (MI) has become popular for analyses with missing data in medical research. The standard implementation of MI is based on the assumption of data being missing at random (MAR). However, for missing data generated by…

Methodology · Statistics 2019-01-03 Tra My Pham , James R Carpenter , Tim P Morris , Angela M Wood , Irene Petersen

Long-running clinical trials offer a unique opportunity to study disease progression and treatment response over time, enabling questions about how and when interventions alter patient trajectories. However, drawing causal conclusions in…

Applications · Statistics 2025-08-13 Emma Prevot , Dieter A. Häring , Thomas E. Nichols , Chris C. Holmes , Habib Ganjgahi

Although approaches for handling missing data from longitudinal studies are well-developed when the patterns of missingness are monotone, fewer methods are available for non-monotone missingness. Moreover, the conventional missing at random…

Methodology · Statistics 2023-02-28 Boyu Ren , Stuart R. Lipsitz , Roger D. Weiss , Garrett M. Fitzmaurice

A common approach for handling missing values in data analysis pipelines is multiple imputation via software packages such as MICE (Van Buuren and Groothuis-Oudshoorn, 2011) and Amelia (Honaker et al., 2011). These packages typically assume…

Methodology · Statistics 2025-07-23 Trung Phung , Kyle Reese , Ilya Shpitser , Rohit Bhattacharya

Bayesian Causal Forests (BCF) is a causal inference machine learning model based on a highly flexible non-parametric regression and classification tool called Bayesian Additive Regression Trees (BART). Motivated by data from the Trends in…

Machine Learning · Statistics 2023-03-10 Nathan McJames , Andrew Parnell , Yong Chen Goh , Ann O'Shea

Estimating causal effects from large experimental and observational data has become increasingly prevalent in both industry and research. The bootstrap is an intuitive and powerful technique used to construct standard errors and confidence…

Methodology · Statistics 2023-02-07 Matthew Kosko , Lin Wang , Michele Santacatterina

Missing data are ubiquitous in empirical databases, yet statistical analyses typically require complete data matrices. Multiple imputation offers a principled solution for filling these gaps. This study evaluates the performance of several…

Computation · Statistics 2026-02-05 Enzo Porto Brasil