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In this paper we recast the problem of missing values in the covariates of a regression model as a latent Gaussian Markov random field (GMRF) model in a fully Bayesian framework. Our proposed approach is based on the definition of the…

Computation · Statistics 2019-12-24 Virgilio Gómez-Rubio , Michela Cameletti , Marta Blangiardo

The subject of robust estimation in time series is widely discussed in literature. One of the approaches is to use GM-estimation. This method incorporates a broad class of nonparametric estimators which under suitable conditions includes…

Statistics Theory · Mathematics 2007-06-13 Alexander Alekseev

In an increasing number of neuroimaging studies, brain images, which are in the form of multidimensional arrays (tensors), have been collected on multiple subjects at multiple time points. Of scientific interest is to analyze such massive…

Although complete randomization is widely regarded as the gold standard for causal inference, covariate imbalance can still arise by chance in finite samples. Rerandomization has emerged as an effective tool to improve covariate balance…

Methodology · Statistics 2026-01-21 Tingxuan Han , Yuhao Wang

The generalized exponential distribution is a well-known probability model in lifetime data analysis and several other research areas, including precipitation modeling. Despite having broad applications for independently and identically…

Applications · Statistics 2025-11-10 Arijit Dey , Arnab Hazra

Making causal inferences from observational studies can be challenging when confounders are missing not at random. In such cases, identifying causal effects is often not guaranteed. Motivated by a real example, we consider a…

Methodology · Statistics 2023-10-31 Jian Sun , Bo Fu

A variety of estimators for the parameters of the Generalized Pareto distribution, the approximating distribution for excesses over a high threshold, have been proposed, always assuming the underlying data to be independent. We recently…

Applications · Statistics 2016-05-26 Lukas Martig , Jürg Hüsler

We consider three problems in high-dimensional Gaussian linear mixed models. Without any assumptions on the design for the fixed effects, we construct an asymptotic $F$-statistic for testing whether a collection of random effects is zero,…

Statistics Theory · Mathematics 2019-07-30 Michael Law , Ya'acov Ritov

Envelope method was recently proposed as a method to reduce the dimension of responses in multivariate regressions. However, when there exists missing data, the envelope method using the complete case observations may lead to biased and…

Methodology · Statistics 2021-03-25 Linquan Ma , Lan Liu , Wei Yang

A recent article on generalised linear mixed model asymptotics, Jiang et al. (2022), derived the rates of convergence for the asymptotic variances of maximum likelihood estimators. If $m$ denotes the number of groups and $n$ is the average…

Statistics Theory · Mathematics 2023-04-03 Luca Maestrini , Aishwarya Bhaskaran , Matt P. Wand

We study average treatment effect (ATE) estimation under complete randomization with many covariates in a design-based, finite-population framework. In randomized experiments, regression adjustment can improve precision of estimators using…

Statistics Theory · Mathematics 2025-11-12 Dogyoon Song

This paper considers a linear regression model with an endogenous regressor which arises from a nonlinear transformation of a latent variable. It is shown that the corresponding coefficient can be consistently estimated without external…

Econometrics · Economics 2023-11-08 Jörg Breitung , Alexander Mayer , Dominik Wied

We revisit the problem of estimating the local average treatment effect (LATE) and the local average treatment effect on the treated (LATT) when control variables are available, either to render the instrumental variable (IV) suitably…

Econometrics · Economics 2022-11-16 Tymon Słoczyński , S. Derya Uysal , Jeffrey M. Wooldridge

The purpose of this paper is to provide guidelines for empirical researchers who use a class of bivariate threshold crossing models with dummy endogenous variables. A common practice employed by the researchers is the specification of the…

Econometrics · Economics 2019-03-06 Sukjin Han , Sungwon Lee

This paper presents an application of Generalized Estimating Equations (GEE) for analyzing age-specific death rates (ASDRs), constituting a longitudinal dataset with repeated measurements over time. GEE models, known for their robustness in…

Applications · Statistics 2024-01-24 Reza Dastranj , Martin Kolar

Inverse probability weighting (IPW) methods are commonly used to analyze non-ignorable missing data under the assumption of a logistic model for the missingness probability. However, solving IPW equations numerically may involve…

Methodology · Statistics 2025-07-24 Pengfei Li , Jing Qin , Yukun Liu

We carry out ANOVA comparisons of multiple treatments for longitudinal studies with missing values. The treatment effects are modeled semiparametrically via a partially linear regression which is flexible in quantifying the time effects of…

Statistics Theory · Mathematics 2012-11-14 Song Xi Chen , Ping-Shou Zhong

We study the properties of variational Bayes approximations for exponential family models with missing values. It is shown that the iterative algorithm for obtaining the variational Bayesian estimator converges locally to the true value…

Statistics Theory · Mathematics 2012-07-19 Bo Wang , D. Titterington

In causal inference, a fundamental task is to estimate the effect resulting from a specific treatment, which is often handled with inverse probability weighting. Despite an abundance of attention to the advancement of this task, most…

Methodology · Statistics 2025-07-30 Kuan-Hsun Wu

The missing data problem pervasively exists in statistical applications. Even as simple as the count data in mortality projections, it may not be available for certain age-and-year groups due to the budget limitations or difficulties in…

Methodology · Statistics 2021-03-11 Rui Gong , Xiaoqian Sun , Leping Liu , Yu-Bo Wang