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The problem of missingness in observational data is ubiquitous. When the confounders are missing at random, multiple imputation is commonly used; however, the method requires congeniality conditions for valid inferences, which may not be…

Methodology · Statistics 2020-07-10 Nathan Corder , Shu Yang

Survey data typically have missing values due to unit and item nonresponse. Sometimes, survey organizations know the marginal distributions of certain categorical variables in the survey. As shown in previous work, survey organizations can…

Methodology · Statistics 2025-09-01 Kewei Xu , Jerome P. Reiter

The ability to estimate joint, conditional and marginal probability distributions over some set of variables is of great utility for many common machine learning tasks. However, estimating these distributions can be challenging,…

Machine Learning · Computer Science 2018-09-20 Andrew Skabar

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.…

Methodology · Statistics 2020-11-24 Jae Kwang Kim , Seho Park , Yilin Chen , Changbao Wu

Comparing the differences in outcomes (that is, in "dependent variables") between two subpopulations is often most informative when comparing outcomes only for individuals from the subpopulations who are similar according to "independent…

Methodology · Statistics 2021-12-20 Mark Tygert

We investigate the parameter estimation of regression models with fixed group effects, when the group variable is missing while group related variables are available. This problem involves clustering to infer the missing group variable…

Methodology · Statistics 2020-12-29 Matthieu Marbac , Mohammed Sedki , Christophe Biernacki , Vincent Vandewalle

We introduce a new method for estimating the mean of an outcome variable within groups when researchers only observe the average of the outcome and group indicators across a set of aggregation units, such as geographical areas. Existing…

Methodology · Statistics 2026-05-01 Cory McCartan , Shiro Kuriwaki

Missing data is a common challenge when analyzing epidemiological data, and imputation is often used to address this issue. Here, we investigate the scenario where a covariate used in an analysis has missingness and will be imputed. There…

Methodology · Statistics 2024-03-04 Lucy D'Agostino McGowan , Sarah C. Lotspeich , Staci A. Hepler

Quantitative studies in many fields involve the analysis of multivariate data of diverse types, including measurements that we may consider binary, ordinal and continuous. One approach to the analysis of such mixed data is to use a copula…

Statistics Theory · Mathematics 2007-06-13 Peter D. Hoff

We propose a penalized likelihood method to fit the bivariate categorical response regression model. Our method allows practitioners to estimate which predictors are irrelevant, which predictors only affect the marginal distributions of the…

Methodology · Statistics 2022-01-25 Aaron J. Molstad , Adam J. Rothman

Multivariate density estimation is a popular technique in statistics with wide applications including regression models allowing for heteroskedasticity in conditional variances. The estimation problems become more challenging when…

Methodology · Statistics 2018-08-15 Zhen Li , Lili Wu , Weilian Zhou , Sujit Ghosh

Finite population inference is a central goal in survey sampling. Probability sampling is the main statistical approach to finite population inference. Challenges arise due to high cost and increasing non-response rates. Data integration…

Methodology · Statistics 2020-01-13 Shu Yang , Jae Kwang Kim

Multiple imputation is a well-established general technique for analyzing data with missing values. A convenient way to implement multiple imputation is sequential regression multiple imputation (SRMI), also called chained equations…

We present a nonparametric Bayesian joint model for multivariate continuous and categorical variables, with the intention of developing a flexible engine for multiple imputation of missing values. The model fuses Dirichlet process mixtures…

Applications · Statistics 2015-10-14 Jared S. Murray , Jerome P. Reiter

This paper proposes a flexible Bayesian approach to multiple imputation using conditional Gaussian mixtures. We introduce novel shrinkage priors for covariate-dependent mixing proportions in the mixture models to automatically select the…

Methodology · Statistics 2022-08-17 Shonosuke Sugasawa , Jae Kwang Kim , Kosuke Morikawa

It is difficult to use subsampling with variational inference in hierarchical models since the number of local latent variables scales with the dataset. Thus, inference in hierarchical models remains a challenge at large scale. It is…

Machine Learning · Computer Science 2021-11-08 Abhinav Agrawal , Justin Domke

Logistic regression models are a popular and effective method to predict the probability of categorical response data. However inference for these models can become computationally prohibitive for large datasets. Here we adapt ideas from…

Methodology · Statistics 2020-08-25 Tom Whitaker , Boris Beranger , Scott A. Sisson

Missing data are often dealt with multiple imputation. A crucial part of the multiple imputation process is selecting sensible models to generate plausible values for incomplete data. A method based on posterior predictive checking is…

Computation · Statistics 2026-05-14 Mingyang Cai , Stef van Buuren , Gerko Vink

Non-probability samples become increasingly popular in survey statistics but may suffer from selection biases that limit the generalizability of results to the target population. We consider integrating a non-probability sample with a…

Methodology · Statistics 2019-08-26 Shu Yang , Jae Kwang Kim , Rui Song

Missing covariate data commonly occur in epidemiological and clinical research, and are often dealt with using multiple imputation (MI). Imputation of partially observed covariates is complicated if the substantive model is non-linear (e.g.…

Methodology · Statistics 2014-02-17 Jonathan W. Bartlett , Shaun R. Seaman , Ian R. White , James R. Carpenter