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When data are missing due to at most one cause from some time to next time, we can make sampling distribution inferences about the parameter of the data by modeling the missing-data mechanism correctly. Proverbially, in case its mechanism…

Methodology · Statistics 2014-07-21 Kosuke Morikawa , Yutaka Kano

We reexamine the classical linear regression model when the model is subject to two types of uncertainty: (i) some of covariates are either missing or completely inaccessible, and (ii) the variance of the measurement error is undetermined…

Statistics Theory · Mathematics 2021-08-05 Shuzhen Yang , Jianfeng Yao

We introduce a restricted latent class exploratory model for longitudinal data with ordinal attributes and respondent-specific covariates. Responses follow a time inhomogeneous hidden Markov model where the probability of a respondent's…

Methodology · Statistics 2026-03-11 Eric Alan Wayman , Steven Andrew Culpepper , Jeff Douglas , Jesse Bowers

Cognitive Diagnosis Models (CDMs) are a special family of discrete latent variable models that are widely used in modern educational, psychological, social and biological sciences. A key component of CDMs is a binary $Q$-matrix…

Methodology · Statistics 2025-01-08 Chenchen Ma , Gongjun Xu

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

Time series imputation is one of the most challenge problems and has broad applications in various fields like health care and the Internet of Things. Existing methods mainly aim to model the temporally latent dependencies and the…

Machine Learning · Computer Science 2025-05-13 Ruichu Cai , Kaitao Zheng , Junxian Huang , Zijian Li , Zhengming Chen , Boyan Xu , Zhifeng Hao

Most practical data science problems encounter missing data. A wide variety of solutions exist, each with strengths and weaknesses that depend upon the missingness-generating process. Here we develop a theoretical framework for training and…

Machine Learning · Computer Science 2022-11-15 Jahan C. Penny-Dimri , Christoph Bergmeir , Julian Smith

The analysis of clinical questionnaire data comes with many inherent challenges. These challenges include the handling of data with missing fields, as well as the overall interpretation of a dataset with many fields of different scales and…

Machine Learning · Computer Science 2021-08-04 Connor J. McLaughlin , Efi G. Kokkotou , Jean A. King , Lisa A. Conboy , Ali Yousefi

This paper introduces a general Bayesian non- parametric latent feature model suitable to per- form automatic exploratory analysis of heterogeneous datasets, where the attributes describing each object can be either discrete, continuous or…

Machine Learning · Statistics 2017-07-27 Isabel Valera , Melanie F. Pradier , Zoubin Ghahramani

We demonstrate the use of a multidimensional extension of the latent Markov model to analyse data from studies with correlated binary responses in developmental psychology. In particular, we consider an experiment based on a battery of…

Applications · Statistics 2025-01-08 Francesco Bartolucci , Ivonne L. Solis-Trapala

When a missing process depends on the missing values themselves, it needs to be explicitly modelled and taken into account while doing likelihood-based inference. We present an approach for building and fitting deep latent variable models…

Machine Learning · Statistics 2021-03-19 Niels Bruun Ipsen , Pierre-Alexandre Mattei , Jes Frellsen

Ising models describe the joint probability distribution of a vector of binary feature variables. Typically, not all the variables interact with each other and one is interested in learning the presumably sparse network structure of the…

Machine Learning · Computer Science 2019-07-09 Frank Nussbaum , Joachim Giesen

We develop a novel approach to tackle the common but challenging problem of conformal inference for missing data in machine learning, focusing on Missing at Random (MAR) data. We propose a new procedure Conformal prediction for Missing data…

Methodology · Statistics 2025-10-22 Wenlu Tang , Hongni Wang , Xingcai Zhou , Bei Jiang , Linglong Kong

An extension of the latent Markov Rasch model is described for the analysis of binary longitudinal data with covariates when subjects are collected in clusters, e.g. students clustered in classes. For each subject, the latent process is…

Applications · Statistics 2012-02-21 Francesco Bartolucci , Fulvia Pennoni , Giorgio Vittadini

In this paper, we study a functional regression setting where the random response curve is unobserved, and only its dichotomized version observed at a sequence of correlated binary data is available. We propose a practical computational…

Methodology · Statistics 2020-12-07 Fatemeh Asgari , Mohammad Hossein Alamatsaz , Valeria Vitelli , Saeed Hayati

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

Learning models that can handle distribution shifts is a key challenge in domain generalization. Invariance learning, an approach that focuses on identifying features invariant across environments, improves model generalization by capturing…

Machine Learning · Statistics 2026-05-11 Yiran Jia , Jelena Bradic

Applications of structural equation models (SEMs) are often restricted to linear associations between variables. Maximum likelihood (ML) estimation in non-linear models may be complex and require numerical integration. Furthermore, ML…

Methodology · Statistics 2019-03-15 Klaus Kähler Holst , Esben Budtz-Jørgensen

Marginal maximum likelihood estimation (MMLE) in item response theory (IRT) is highly sensitive to aberrant responses, such as careless answering and random guessing, which can reduce estimation accuracy. To address this issue, this study…

Methodology · Statistics 2025-02-18 Yuki Itaya , Kenichi Hayashi

Nonmonotone missing data arise routinely in empirical studies of social and health sciences, and when ignored, can induce selection bias and loss of efficiency. In practice, it is common to account for nonresponse under a missing-at-random…

Methodology · Statistics 2017-07-20 Eric J. Tchetgen Tchetgen , Linbo Wang , BaoLuo Sun
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