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We propose a variational autoencoder architecture to model both ignorable and nonignorable missing data using pattern-set mixtures as proposed by Little (1993). Our model explicitly learns to cluster the missing data into missingness…

Machine Learning · Statistics 2021-03-08 Sahra Ghalebikesabi , Rob Cornish , Luke J. Kelly , Chris Holmes

Iterative imputation is a popular tool to accommodate missing data. While it is widely accepted that valid inferences can be obtained with this technique, these inferences all rely on algorithmic convergence. There is no consensus on how to…

Computation · Statistics 2021-10-25 Hanne Ida Oberman , Stef van Buuren , Gerko Vink

We investigate the problem of calibration and assessment of predictive rules in prognostic designs when missing values are present in the predictors. Our paper has two key objectives which are entwined. The first is to investigate how the…

Methodology · Statistics 2018-10-12 B. J. A. Mertens , E. Banzato , L. C. de Wreede

When estimating a regression model, we might have data where some labels are missing, or our data might be biased by a selection mechanism. When the response or selection mechanism is ignorable (i.e., independent of the response variable…

Statistics Theory · Mathematics 2023-08-22 Philip Boeken , Noud de Kroon , Mathijs de Jong , Joris M. Mooij , Onno Zoeter

We present a randomization-based inferential framework for experiments characterized by a strongly ignorable assignment mechanism where units have independent probabilities of receiving treatment. Previous works on randomization tests often…

Methodology · Statistics 2019-02-01 Zach Branson , Marie-Abele Bind

In this article, we study the problem of variable screening in multiple nonparametric regression model. The proposed methodology is based on the fact that the partial derivative of the regression function with respect to the irrelevant…

Methodology · Statistics 2021-01-19 Subhra Sankar Dhar , Prashant Jha , Aranyak Acharyya

Additive regression models have a long history in multivariate nonparametric regression. They provide a model in which each regression function depends only on a single explanatory variable allowing to obtain estimators at the optimal…

Methodology · Statistics 2015-09-16 Graciela Boente , Alejandra Martinez

Missing data problems arise in many applied research studies. They may jeopardize statistical inference of the model of interest, if the missing mechanism is nonignorable, that is, the missing mechanism depends on the missing values…

Statistics Theory · Mathematics 2015-09-15 Wang Miao , Peng Ding , Zhi Geng

Missing data on response variables are common in clinical studies. Corresponding to the uncertainty of missing mechanism, theoretical frameworks on controlled imputation have been developed. In practice, it is recommended to conduct a…

Methodology · Statistics 2022-03-08 Tony Wang , Ying Liu

Time series forecasting using historical data has been an interesting and challenging topic, especially when the data is corrupted by missing values. In many industrial problem, it is important to learn the inference function between the…

Machine Learning · Computer Science 2023-06-02 Trang H. Tran , Lam M. Nguyen , Kyongmin Yeo , Nam Nguyen , Dzung Phan , Roman Vaculin , Jayant Kalagnanam

We consider a flexible semiparametric quantile regression model for analyzing high dimensional heterogeneous data. This model has several appealing features: (1) By considering different conditional quantiles, we may obtain a more complete…

Statistics Theory · Mathematics 2016-01-25 Ben Sherwood , Lan Wang

We consider a partially linear framework for modelling massive heterogeneous data. The major goal is to extract common features across all sub-populations while exploring heterogeneity of each sub-population. In particular, we propose an…

Statistics Theory · Mathematics 2016-01-26 Tianqi Zhao , Guang Cheng , Han Liu

Modern high-throughput biomedical devices routinely produce data on a large scale, and the analysis of high-dimensional datasets has become commonplace in biomedical studies. However, given thousands or tens of thousands of measured…

Methodology · Statistics 2022-02-28 Vladimir Vutov , Thorsten Dickhaus

Ordinal user-provided ratings across multiple items are frequently encountered in both scientific and commercial applications. Whilst recommender systems are known to do well on these type of data from a predictive point of view, their…

Methodology · Statistics 2025-03-05 Sjoerd Hermes

This article introduces a novel framework for nonparametric priors on real-valued random vectors, which can be viewed as a multivariate generalization of neutral-to-the right priors. It is based on randomizing the exponent measure of a…

Methodology · Statistics 2026-05-13 Florian Brück

Objective: Researchers often use model-based multiple imputation to handle missing at random data to minimize bias while making the best use of all available data. However, there are sometimes constraints within the data that make…

Methodology · Statistics 2020-11-03 Chinchin Wang , Tyrel Stokes , Russell Steele , Niels Wedderkopp , Ian Shrier

We propose generalized additive partial linear models for complex data which allow one to capture nonlinear patterns of some covariates, in the presence of linear components. The proposed method improves estimation efficiency and increases…

Statistics Theory · Mathematics 2014-05-26 Li Wang , Lan Xue , Annie Qu , Hua Liang

Balancing the distributions of the confounders across the exposure levels in an observational study through matching or weighting is an accepted method to control for confounding due to these variables when estimating the association…

Methodology · Statistics 2021-08-24 Farhad Pishgar , Noah Greifer , Clémence Leyrat , Elizabeth Stuart

Suppose data are fitted to some parametric model but that the true model happens to be one with an additional parameter. When a parameter is to be estimated one can use likelihood estimation in the wider model or in the narrow model.…

Methodology · Statistics 2026-03-27 Nils Lid Hjort

Pattern-mixture models provide a transparent approach for handling missing data, where the full-data distribution is factorized in a way that explicitly shows the parts that can be estimated from observed data alone, and the parts that…

Methodology · Statistics 2019-04-26 Yen-Chi Chen , Mauricio Sadinle