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We introduce Matched Machine Learning, a framework that combines the flexibility of machine learning black boxes with the interpretability of matching, a longstanding tool in observational causal inference. Interpretability is paramount in…

Methodology · Statistics 2023-04-05 Marco Morucci , Cynthia Rudin , Alexander Volfovsky

Small area models are mixed effects regression models that link the small areas and borrow strength from similar domains. When the auxiliary variables used in the models are measured with error, small area estimators that ignore the…

Methodology · Statistics 2018-10-23 Serena Arima , Silvia Polettini

Poverty mapping that displays spatial distribution of various poverty indices is most useful to policymakers and researchers when they are disaggregated into small geographic units, such as cities, municipalities or other administrative…

Applications · Statistics 2018-12-18 Partha Lahiri , Jiraphan Suntornchost

The inferential model (IM) framework provides valid prior-free probabilistic inference by focusing on predicting unobserved auxiliary variables. But, efficient IM-based inference can be challenging when the auxiliary variable is of higher…

Statistics Theory · Mathematics 2015-01-20 Ryan Martin , Chuanhai Liu

Mixtures of linear mixed models are widely used for modelling longitudinal data for which observation times differ between subjects. In typical applications, temporal trends are described using a basis expansion, with basis coefficients…

Methodology · Statistics 2025-11-25 Lucas Kock , Nadja Klein , David J. Nott

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…

Statistics Theory · Mathematics 2007-06-13 Soumendra N. Lahiri , Tapabrata Maiti , Myron Katzoff , Van Parsons

Following a series of high-profile drug safety disasters in recent years, many countries are redoubling their efforts to ensure the safety of licensed medical products. Large-scale observational databases such as claims databases or…

Computation · Statistics 2012-08-07 Marc A. Suchard , Shawn E. Simpson , Ivan Zorych , Patrick Ryan , David Madigan

Generalised regression estimation allows one to make use of available auxiliary information in survey sampling. We develop three types of generalised regression estimator when the auxiliary data cannot be matched perfectly to the sample…

Methodology · Statistics 2020-05-20 Li-Chun Zhang

We introduce inferential methods for prediction based on functional random effects in generalized functional mixed effects models. This is similar to the inference for random effects in generalized linear mixed effects models (GLMMs), but…

Methodology · Statistics 2025-01-15 Xinkai Zhou , Erjia Cui , Joseph Sartini , Ciprian Crainiceanu

A rich set of frequentist model averaging methods has been developed, but their applications have largely been limited to point prediction, as measuring prediction uncertainty in general settings remains an open problem. In this paper we…

Econometrics · Economics 2025-10-21 Zhongjun Qu , Wendun Wang , Xiaomeng Zhang

Modern statisticians are often presented with hundreds or thousands of hypothesis testing problems to evaluate at the same time, generated from new scientific technologies such as microarrays, medical and satellite imaging devices, or flow…

Applications · Statistics 2008-12-18 Bradley Efron

We present a unified framework for estimation and analysis of generalized additive models in high dimensions. The framework defines a large class of penalized regression estimators, encompassing many existing methods. An efficient…

Methodology · Statistics 2019-03-13 Asad Haris , Noah Simon , Ali Shojaie

Given a large pool of unlabelled data and a smaller amount of labels, prediction-powered inference (PPI) leverages machine learning predictions to increase the statistical efficiency of confidence interval procedures based solely on…

Machine Learning · Statistics 2025-10-27 Valentin Kilian , Stefano Cortinovis , François Caron

As complex-survey data becomes more widely used in health and social-science research, there is increasing interest in fitting a wider range of regression models. We describe an implementation of two-level linear mixed models in R using the…

Methodology · Statistics 2023-07-12 Thomas Lumley , Xudong Huang

Nested error regression models are useful tools for analysis of grouped data, especially in the case of small area estimation. This paper suggests a nested error regression model using uncertain random effects in which the random effect in…

Methodology · Statistics 2017-02-28 Shonosuke Sugasawa , Tatsuya Kubokawa

This paper develops a new empirical Bayesian inference algorithm for solving a linear inverse problem given multiple measurement vectors (MMV) of under-sampled and noisy observable data. Specifically, by exploiting the joint sparsity across…

Numerical Analysis · Mathematics 2021-03-30 Jiahui Zhang , Anne Gelb , Theresa Scarnati

This paper introduces a general continuous form of poverty index that encompasses most of the existing formulas in the literature. We then propose a consistent estimator for this index in case the poverty line is a functional of the…

Applications · Statistics 2017-11-17 Cheikh Tidiane Seck , Gane Samb Lo

Motivated by big data and the vast parameter spaces in modern machine learning models, optimisation approaches to Bayesian inference have seen a surge in popularity in recent years. In this paper, we address the connection between the…

Methodology · Statistics 2024-10-18 Lachlan Astfalck , Cassandra Bird , Daniel Williamson

This article introduces new methods for inference with count data registered on a set of aggregation units. Such data are omnipresent in epidemiology due to confidentiality issues: it is much more common to know the county in which an…

Methodology · Statistics 2017-04-20 Benjamin M. Taylor , Ricardo Andrade-Pacheco , Hugh J. W. Sturrock

Simultaneous inference allows for the exploration of data while deciding on criteria for proclaiming discoveries. It was recently proved that all admissible post-hoc inference methods for true discoveries must employ closed testing. In this…

Statistics Theory · Mathematics 2022-03-24 Jinjin Tian , Xu Chen , Eugene Katsevich , Jelle Goeman , Aaditya Ramdas