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Methods utilizing instrumental variables have been a fundamental statistical approach to estimation in the presence of unmeasured confounding, usually occurring in non-randomized observational data common to fields such as economics and…

Methodology · Statistics 2022-10-06 Charles Spanbauer , Wei Pan

Most of applied statistics involves regression analysis of data. This paper presents a stand-alone and menu-driven software package, Bayesian Regression: Nonparametric and Parametric Models. Currently, this package gives the user a choice…

Computation · Statistics 2015-07-15 George Karabatsos

Twinned regression methods are designed to solve the dual problem to the original regression problem, predicting differences between regression targets rather then the targets themselves. A solution to the original regression problem can be…

Machine Learning · Computer Science 2023-01-05 Sebastian J. Wetzel

We present a new nonparametric mixture-of-experts model for multivariate regression problems, inspired by the probabilistic k-nearest neighbors algorithm. Using a conditionally specified model, predictions for out-of-sample inputs are based…

Machine Learning · Statistics 2022-08-05 Tianfang Zhang , Rasmus Bokrantz , Jimmy Olsson

The general principles of Bayesian data analysis imply that models for survey responses should be constructed conditional on all variables that affect the probability of inclusion and nonresponse, which are also the variables used in survey…

Methodology · Statistics 2007-11-06 Andrew Gelman

The capture-recapture method can be applied to measure the coverage of administrative and big data sources, in official statistics. In its basic form, it involves the linkage of two sources while assuming a perfect linkage and other…

Methodology · Statistics 2024-03-19 Abel Dasylva , Arthur Goussanou , Christian-Olivier Nambeu

Within network data analysis, bipartite networks represent a particular type of network where relationships occur between two disjoint sets of nodes, formally called sending and receiving nodes. In this context, sending nodes may be…

Methodology · Statistics 2024-03-19 Dalila Failli , Bruno Arpino , Maria Francesca Marino

Hierarchical Bayesian methods enable information sharing across multiple related regression problems. While standard practice is to model regression parameters (effects) as (1) exchangeable across datasets and (2) correlated to differing…

Methodology · Statistics 2021-07-15 Brian L. Trippe , Hilary K. Finucane , Tamara Broderick

For exchangeable data, mixture models are an extremely useful tool for density estimation due to their attractive balance between smoothness and flexibility. When additional covariate information is present, mixture models can be extended…

Methodology · Statistics 2023-08-01 Sara Wade , Vanda Inacio , Sonia Petrone

We study nonlinear regression of real valued data in an individual sequence manner, where we provide results that are guaranteed to hold without any statistical assumptions. We address the convergence and undertraining issues of…

Machine Learning · Computer Science 2014-10-08 N. Denizcan Vanli , Muhammed O. Sayin , Suleyman S. Kozat

Two-phase sampling designs are frequently employed in epidemiological studies and large-scale health surveys. In such designs, certain variables are exclusively collected within a second-phase random subsample of the initial first-phase…

Methodology · Statistics 2024-03-25 Lingxiao Wang

In biomedical and public health association studies, binary outcome variables may be subject to misclassification, resulting in substantial bias in effect estimates. The feasibility of addressing binary outcome misclassification in…

Methodology · Statistics 2024-03-19 Kimberly A. Hochstedler Webb , Martin T. Wells

In recurrent event studies, panel binary data arise when subjects are observed at discrete time points and only the recurrent event status within each observation window is recorded. Such data frequently occur in longitudinal studies due to…

Methodology · Statistics 2025-03-18 Pavithra Hariharan , P. G. Sankaran

In this work we introduce a mixture of GPs to address the data association problem, i.e. to label a group of observations according to the sources that generated them. Unlike several previously proposed GP mixtures, the novel mixture has…

Machine Learning · Statistics 2011-08-18 Miguel Lázaro-Gredilla , Steven Van Vaerenbergh , Neil Lawrence

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

Bayesian models provide recursive inference naturally because they can formally reconcile new data and existing scientific information. However, popular use of Bayesian methods often avoids priors that are based on exact posterior…

Methodology · Statistics 2019-04-29 Mevin B. Hooten , Devin S. Johnson , Brian M. Brost

Raking is widely used in categorical data modeling and survey practice but faced with methodological and computational challenges. We develop a Bayesian paradigm for raking by incorporating the marginal constraints as a prior distribution…

Methodology · Statistics 2020-06-24 Yajuan Si , Peigen Zhou

This paper concerns the robust regression model when the number of predictors and the number of observations grow in a similar rate. Theory for M-estimators in this regime has been recently developed by several authors [El Karoui et al.,…

Statistics Theory · Mathematics 2016-04-06 Daniel Nevo , Ya'acov Ritov

We propose a unified, yet simple to code, non-conjugate variational Bayes algorithm for posterior approximation of generic Bayesian generalized mixed effect models. Specifically, we consider regression models identified by a linear…

Methodology · Statistics 2025-10-14 Cristian Castiglione , Mauro Bernardi

Regression methods dominate the practice of biostatistical analysis, but biostatistical training emphasises the details of regression models and methods ahead of the purposes for which such modelling might be useful. More broadly,…

Methodology · Statistics 2024-09-12 John B. Carlin , Margarita Moreno-Betancur