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Best linear unbiased prediction is well known for its wide range of applications including small area estimation. While the theory is well established for mixed linear models and under normality of the error and mixing distributions, the…

统计理论 · 数学 2007-06-13 Soumendra N. Lahiri , Tapabrata Maiti , Myron Katzoff , Van Parsons

The maximum-likelihood estimator of nonlinear panel data models with fixed effects is consistent but asymptotically-biased under rectangular-array asymptotics. The literature has thus far concentrated its effort on devising methods to…

计量经济学 · 经济学 2022-01-28 Ayden Higgins , Koen Jochmans

We study the problem of estimating causal effects under hidden confounding in the following unpaired data setting: we observe some covariates $X$ and an outcome $Y$ under different experimental conditions (environments) but do not observe…

机器学习 · 统计学 2026-01-22 Felix Schur , Niklas Pfister , Peng Ding , Sach Mukherjee , Jonas Peters

Generalized linear models (GLMs) are popular for data-analysis in almost all quantitative sciences, but the choice of likelihood family and link function is often difficult. This motivates the search for likelihoods and links that minimize…

统计方法学 · 统计学 2024-03-19 Maximilian Scholz , Paul-Christian Bürkner

Integrative analysis of data from multiple sources is critical to making generalizable discoveries. Associations that are consistently observed across multiple source populations are more likely to be generalized to target populations with…

统计方法学 · 统计学 2022-12-19 Zijian Guo

We develop new econometric methods for estimation and inference in high-dimensional panel data models with interactive fixed effects. Our approach can be regarded as a non-trivial extension of the very popular common correlated effects…

计量经济学 · 经济学 2025-08-11 Maximilian Ruecker , Michael Vogt , Oliver Linton , Christopher Walsh

Reliable uncertainty quantification is a central challenge in the analysis of modern biomedical data, where complex sources of variability often violate standard modeling assumptions. In generalized linear models (GLMs), confidence…

统计方法学 · 统计学 2026-05-06 Andrea Panarotto , Riccardo De Santis , Livio Finos

We provide a unified approach to MM-estimation with auxiliary scale for balanced linear models with structured covariance matrices. This approach leads to estimators that are highly robust against outliers and highly efficient for normal…

统计理论 · 数学 2025-11-10 Hendrik Paul Lopuhaa

Some of the simplest, yet most frequently used predictors in statistics and machine learning use weighted linear combinations of features. Such linear predictors can model non-linear relationships between features by adding interaction…

机器学习 · 计算机科学 2026-02-05 Mohammadreza Nemati , Zhipeng Huang , Kevin S. Xu

A great deal of interest has recently focused on conducting inference on the parameters in a high-dimensional linear model. In this paper, we consider a simple and very na\"{i}ve two-step procedure for this task, in which we (i) fit a lasso…

统计方法学 · 统计学 2020-07-02 Sen Zhao , Daniela Witten , Ali Shojaie

This paper studies variable selection and post-selection inference for high-dimensional clustered data using marginal-model-based procedures. We show that, when covariates are heterogeneously distributed across clusters, marginal-model…

统计方法学 · 统计学 2026-05-26 Shangyuan Ye , Cong Zhang , Ying Chen , Ye Liang , Guanbo Wang

Inferring causal relationships or related associations from observational data can be invalidated by the existence of hidden confounding. We focus on a high-dimensional linear regression setting, where the measured covariates are affected…

统计方法学 · 统计学 2021-07-22 Zijian Guo , Domagoj Ćevid , Peter Bühlmann

This paper explores improvements in prediction accuracy and inference capability when allowing for potential correlation in team-level random effects across multiple game-level responses from different assumed distributions. First-order and…

应用统计 · 统计学 2019-03-01 Jennifer E. Broatch , Andrew T. Karl

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,…

统计理论 · 数学 2019-07-30 Michael Law , Ya'acov Ritov

Estimation of generalized linear mixed models (GLMMs) with non-nested random effects structures requires approximation of high-dimensional integrals. Many existing methods are tailored to the low-dimensional integrals produced by nested…

统计计算 · 统计学 2014-04-01 Andrew T. Karl , Yan Yang , Sharon L. Lohr

Machine learning (ML) models are increasingly being used in metrology applications. However, for ML models to be credible in a metrology context they should be accompanied by principled uncertainty quantification. This paper addresses the…

机器学习 · 计算机科学 2024-05-09 Andrew Thompson

This paper contributes to the literature on treatment effects estimation with machine learning inspired methods by studying the performance of different estimators based on the Lasso. Building on recent work in the field of high-dimensional…

计量经济学 · 经济学 2018-05-15 Michael Zimmert

This paper presents uniform estimation and inference theory for a large class of nonparametric partitioning-based M-estimators. The main theoretical results include: (i) uniform consistency for convex and non-convex objective functions;…

统计理论 · 数学 2025-09-01 Matias D. Cattaneo , Yingjie Feng , Boris Shigida

This paper addresses the asymptotic performance of popular spatial regression estimators of the linear effect of an exposure on an outcome under ``spatial confounding" -- the presence of an unmeasured spatially-structured variable…

统计方法学 · 统计学 2024-09-19 Brian Gilbert , Elizabeth L. Ogburn , Abhirup Datta

The Latent Block Model (LBM) is a model-based method to cluster simultaneously the $d$ columns and $n$ rows of a data matrix. Parameter estimation in LBM is a difficult and multifaceted problem. Although various estimation strategies have…

统计理论 · 数学 2020-02-26 Vincent Brault , Christine Keribin , Mahendra Mariadassou
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