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Data analysis usually suffers from the Missing Not At Random (MNAR) problem, where the cause of the value missing is not fully observed. Compared to the naive Missing Completely At Random (MCAR) problem, it is more in line with the…

Machine Learning · Computer Science 2025-05-27 Jialei Chen , Yuanbo Xu , Pengyang Wang , Yongjian Yang

In clinical trials, mixed effects models for repeated measures (MMRM) and pattern mixture models (PMM) are often used to analyze longitudinal continuous outcomes. We describe a simple missing data imputation algorithm for the MMRM that can…

Methodology · Statistics 2016-10-13 Yongqiang Tang

Missing Not At Random (MNAR) values lead to significant biases in the data, since the probability of missingness depends on the unobserved values.They are ''not ignorable'' in the sense that they often require defining a model for the…

Statistics Theory · Mathematics 2020-06-11 Aude Sportisse , Claire Boyer , Julie Josse

Given the prevalence of missing data in modern statistical research, a broad range of methods is available for any given imputation task. How does one choose the `best' imputation method in a given application? The standard approach is to…

Applications · Statistics 2022-12-01 Jeffrey Näf , Meta-Lina Spohn , Loris Michel , Nicolai Meinshausen

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

Missing values pose a persistent challenge in modern data science. Consequently, there is an ever-growing number of publications introducing new imputation methods in various fields. The present paper attempts to take a step back and…

Statistics Theory · Mathematics 2026-01-21 Jeffrey Näf , Erwan Scornet , Julie Josse

This article introduces the Python package gcimpute for missing data imputation. gcimpute can impute missing data with many different variable types, including continuous, binary, ordinal, count, and truncated values, by modeling data as…

Methodology · Statistics 2022-03-11 Yuxuan Zhao , Madeleine Udell

Time-series analysis is often affected by missing data, a common problem across several fields, including healthcare and environmental monitoring. Multiple Imputation by Chained Equations (MICE) has been prominent for imputing missing…

Machine Learning · Statistics 2026-04-10 Amuche Ibenegbu , Pierre Lafaye de Micheaux , Rohitash Chandra

Real-world datasets often have missing values associated with complex generative processes, where the cause of the missingness may not be fully observed. This is known as missing not at random (MNAR) data. However, many imputation methods…

Machine Learning · Computer Science 2021-10-29 Chao Ma , Cheng Zhang

Handling missing data is a central challenge in data-driven analysis. Modern imputation methods not only aim for accurate reconstruction but also differ in how they represent and quantify uncertainty. Yet, the reliability and calibration of…

Databases · Computer Science 2025-11-27 Zarin Tahia Hossain , Mostafa Milani

Missing Not at Random (MNAR) and nonnormal data are challenging to handle. Traditional missing data analytical techniques such as full information maximum likelihood estimation (FIML) may fail with nonnormal data as they are built on normal…

Applications · Statistics 2024-06-21 Dandan Tang , Xin Tong

Conducting valid statistical analyses is challenging in the presence of missing-not-at-random (MNAR) data, where the missingness mechanism is dependent on the missing values themselves even conditioned on the observed data. Here, we…

Methodology · Statistics 2023-06-13 Anna Guo , Jiwei Zhao , Razieh Nabi

Modern datasets commonly feature both substantial missingness and many variables of mixed data types, which present significant challenges for estimation and inference. Complete case analysis, which proceeds using only the observations with…

Methodology · Statistics 2023-04-10 Joseph Feldman , Daniel R. Kowal

We propose Conditional Imputation GAN, an extended missing data imputation method based on Generative Adversarial Networks (GANs). The motivating use case is learning-to-rank, the cornerstone of modern search, recommendation system, and…

Machine Learning · Statistics 2021-11-11 Grace Deng , Cuize Han , David S. Matteson

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

Missing data is a prevalent issue in many applications, including large medical registries such as the Swedish Healthcare Quality Registries, potentially leading to biased or inefficient analyses if not handled properly. Multiple Imputation…

Missing data are a common problem for both the construction and implementation of a prediction algorithm. Pattern mixture kernel submodels (PMKS) - a series of submodels for every missing data pattern that are fit using only data from that…

Methodology · Statistics 2017-04-27 Sarah Fletcher Mercaldo , Jeffrey D. Blume

Missing data is a fundamental challenge in data science, significantly hindering analysis and decision-making across a wide range of disciplines, including healthcare, bioinformatics, social science, e-commerce, and industrial monitoring.…

Machine Learning · Statistics 2026-05-12 Jicong Fan

Item nonresponse is frequently encountered in practice. Ignoring missing data can lose efficiency and lead to misleading inference. Fractional imputation is a frequentist approach of imputation for handling missing data. However, the…

Methodology · Statistics 2018-09-18 Hejian Sang , Jae Kwang Kim

Model-based unsupervised learning, as any learning task, stalls as soon as missing data occurs. This is even more true when the missing data are informative, or said missing not at random (MNAR). In this paper, we propose model-based…