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In Small Area Estimation data linkage can be used to combine values of the variableof interest from a national survey with values of auxiliary variables obtained from another source like a population register. Linkage errors can induce bias…

Methodology · Statistics 2019-04-02 Ray Chambers , Enrico Fabrizi , Nicola Salvati

We develop joint confidence regions for linear regression coefficients when the regressors and errors are jointly stationary and ergodic with unspecified serial dependence. The method applies random smoothing, using an independent auxiliary…

Methodology · Statistics 2026-05-21 Mous-Abou Hamadou , Martial Longla , Mathias Nthiani Muia , Mahmud Hasan

We go through the many considerations involved in fitting a model to data, using as an example the fit of a straight line to a set of points in a two-dimensional plane. Standard weighted least-squares fitting is only appropriate when there…

Instrumentation and Methods for Astrophysics · Physics 2010-08-30 David W. Hogg , Jo Bovy , Dustin Lang

Recent work has discovered that large language models can develop broadly misaligned behaviors after being fine-tuned on narrowly harmful datasets, a phenomenon known as emergent misalignment (EM). However, the fundamental mechanisms…

Machine Learning · Computer Science 2025-11-05 Daniel Aarao Reis Arturi , Eric Zhang , Andrew Ansah , Kevin Zhu , Ashwinee Panda , Aishwarya Balwani

The consideration of predictive uncertainty in medical imaging with deep learning is of utmost importance. We apply estimation of both aleatoric and epistemic uncertainty by variational Bayesian inference with Monte Carlo dropout to…

Image and Video Processing · Electrical Eng. & Systems 2021-04-27 Max-Heinrich Laves , Sontje Ihler , Jacob F. Fast , Lüder A. Kahrs , Tobias Ortmaier

Classical penalized likelihood regression problems deal with the case that the independent variables data are known exactly. In practice, however, it is common to observe data with incomplete covariate information. We are concerned with a…

Methodology · Statistics 2010-08-04 Xiwen Ma , Bin Dai , Ronald Klein , Barbara E. K. Klein , Kristine E. Lee , Grace Wahba

Residuals in regression models are often spatially correlated. Prominent examples include studies in environmental epidemiology to understand the chronic health effects of pollutants. I consider the effects of residual spatial structure on…

Methodology · Statistics 2010-11-05 Christopher J. Paciorek

Spatial data display correlation between observations collected at neighboring locations. Generally, machine and deep learning methods either do not account for this correlation or do so indirectly through correlated features and thereby…

Methodology · Statistics 2024-10-08 Matthew J. Heaton , Andrew Millane , Jake S. Rhodes

We propose a new estimation methodology to address the presence of covariate measurement error by exploiting the availability of spatial data. The approach uses neighboring observations as repeated measurements, after suitably controlling…

Econometrics · Economics 2025-11-06 Susanne M. Schennach , Vincent Starck

Meta-analysis employs statistical techniques to synthesize the results of individual studies, providing an estimate of the overall effect size for a specific outcome of interest. The direction and magnitude of this estimate, along with its…

Econometrics · Economics 2025-03-06 Amin Haghnejad , Mahboobeh Farahati

Data types that lie in metric spaces but not in vector spaces are difficult to use within the usual regression setting, either as the response and/or a predictor. We represent the information in these variables using distance matrices which…

Methodology · Statistics 2016-01-20 Julian Faraway

Spatial microeconometric studies typically suffer from various forms of inaccuracies that are not present when dealing with the classical regional spatial econometrics models. Among those, missing data, locational errors, sampling without a…

Methodology · Statistics 2019-04-04 Giuseppe Arbia , Paolo Berta , Carrie B. Dolan

We consider a variant of regression problem, where the correspondence between input and output data is not available. Such shuffled data is commonly observed in many real world problems. Taking flow cytometry as an example, the measuring…

Machine Learning · Computer Science 2021-02-12 Yujia Xie , Yixiu Mao , Simiao Zuo , Hongteng Xu , Xiaojing Ye , Tuo Zhao , Hongyuan Zha

We develop a collection of methods for adjusting the predictions of quantile regression to ensure coverage. Our methods are model agnostic and can be used to correct for high-dimensional overfitting bias with only minimal assumptions.…

Methodology · Statistics 2025-11-10 Isaac Gibbs , John J. Cherian , Emmanuel J. Candès

Despite of various similar features, Functional Data Analysis and High-Dimensional Data Analysis are two major fields in Statistics that grew up recently almost independently one from each other. The aim of this paper is to propose a survey…

Methodology · Statistics 2024-01-29 Germán Aneiros , Silvia Novo , Philippe Vieu

In paired randomized experiments individuals in a given matched pair may differ on prognostically important covariates despite the best efforts of practitioners. We examine the use of regression adjustment as a way to correct for persistent…

Methodology · Statistics 2017-11-27 Colin B. Fogarty

A pervasive phenomenon in machine learning applications is distribution shift, where training and deployment conditions for a machine learning model differ. As distribution shift typically results in a degradation in performance, much…

Machine Learning · Statistics 2024-01-23 Philip Amortila , Tongyi Cao , Akshay Krishnamurthy

We review recent developments in detecting and estimating multiple change-points in time series models with exogenous and endogenous regressors, panel data models, and factor models. This review differs from others in multiple ways: (1) it…

Econometrics · Economics 2025-07-31 Otilia Boldea , Alastair R. Hall

Statistical models that include random effects are commonly used to analyze longitudinal and correlated data, often with strong and parametric assumptions about the random effects distribution. There is marked disagreement in the literature…

Methodology · Statistics 2012-01-11 Charles E. McCulloch , John M. Neuhaus

This paper considers the quantile regression approach for partially linear spatial autoregressive models with possibly varying coefficients. B-spline is employed for the approximation of varying coefficients. The instrumental variable…

Methodology · Statistics 2016-08-08 Xiaowen Dai , Shaoyang Li , Maozai Tian