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In randomized controlled trials, forest plots are frequently used to investigate the homogeneity of treatment effect estimates in subgroups. However, the interpretation of subgroup-specific treatment effect estimates requires great care due…

Methodology · Statistics 2024-07-17 Marcel Wolbers , Mar Vázquez Rabuñal , Ke Li , Kaspar Rufibach , Daniel Sabanés Bové

We tackle covariance estimation in low-sample scenarios, employing a structured covariance matrix with shrinkage methods. These involve convexly combining a low-bias/high-variance empirical estimate with a biased regularization estimator,…

Instrumentation and Methods for Astrophysics · Physics 2024-06-28 Olivier Flasseur , Eric Thiébaut , Loïc Denis , Maud Langlois

Estimating a covariance matrix is an important task in applications where the number of variables is larger than the number of observations. Shrinkage approaches for estimating a high-dimensional covariance matrix are often employed to…

Methodology · Statistics 2015-06-18 Anestis Touloumis

In the value-added literature, it is often claimed that regressing on empirical Bayes shrinkage estimates corrects for the measurement error problem in linear regression. We clarify the conditions needed; we argue that these conditions are…

Econometrics · Economics 2026-02-23 Jiafeng Chen , Jiaying Gu , Soonwoo Kwon

Companies offering web services routinely run randomized online experiments to estimate the causal impact associated with the adoption of new features and policies on key performance metrics of interest. These experiments are used to…

Methodology · Statistics 2023-07-13 Lorenzo Masoero , Doug Hains , James McQueen

Experimental testing is vital in the optimization of web applications, and as such A/B testing has been widely adopted as a methodology for determining optimal content for many web applications. While some testing platforms provide…

Methodology · Statistics 2017-10-04 Ian E. Fellows

Estimating the sharing of genetic effects across different conditions is important to many statistical analyses of genomic data. The patterns of sharing arising from these data are often highly heterogeneous. To flexibly model these…

Methodology · Statistics 2024-06-14 Yunqi Yang , Peter Carbonetto , David Gerard , Matthew Stephens

Online experiments in internet systems, also known as A/B tests, are used for a wide range of system tuning problems, such as optimizing recommender system ranking policies and learning adaptive streaming controllers. Decision-makers…

Machine Learning · Computer Science 2025-07-01 Qing Feng , Samuel Daulton , Benjamin Letham , Maximilian Balandat , Eytan Bakshy

In this paper, we consider simultaneous estimation of Poisson parameters in situations where we can use side information in aggregated data. We use standardized squared error and entropy loss functions. Bayesian shrinkage estimators are…

Statistics Theory · Mathematics 2023-11-06 Yasuyuki Hamura

This study examines the problem of determining whether to treat individuals based on observed covariates. The most common decision rule is the conditional empirical success (CES) rule proposed by Manski (2004), which assigns individuals to…

Econometrics · Economics 2025-10-08 Takuya Ishihara , Daisuke Kurisu

The widespread adoption of online randomized controlled experiments (A/B Tests) for decision-making has created ongoing capacity constraints which necessitate interim analyses. As a consequence, platform users are increasingly motivated to…

Applications · Statistics 2025-11-11 Abbas Zaidi , Rina Friedberg , Samir Khan , Yao-Yang Leow , Maulik Soneji , Houssam Nassif , Richard Mudd

Shrinkage estimation usually reduces variance at the cost of bias. But when we care only about some parameters of a model, I show that we can reduce variance without incurring bias if we have additional information about the distribution of…

Statistics Theory · Mathematics 2017-11-01 Jann Spiess

The widespread availability of high-dimensional biological data has made the simultaneous screening of many biological characteristics a central problem in computational biology and allied sciences. While the dimensionality of such datasets…

Methodology · Statistics 2023-03-10 Nima S. Hejazi , Philippe Boileau , Mark J. van der Laan , Alan E. Hubbard

In all areas of human knowledge, datasets are increasing in both size and complexity, creating the need for richer statistical models. This trend is also true for economic data, where high-dimensional and nonlinear/nonparametric inference…

Econometrics · Economics 2021-12-23 Dimitris Korobilis , Kenichi Shimizu

Adaptive experiments are used extensively in online platforms, healthcare and biotechnology, and a variety of other settings. In many of these applications, the main goal is not to precisely estimate a treatment effect, but to demonstrate…

Statistics Theory · Mathematics 2026-03-10 Guido Imbens , Lorenzo Masoero , Alexander Rakhlin , Thomas S. Richardson , Suhas Vijaykumar

This paper is concerned with the simultaneous estimation of $k$ population means when one suspects that the $k$ means are nearly equal. As an alternative to the preliminary test estimator based on the test statistics for testing hypothesis…

Statistics Theory · Mathematics 2018-09-13 Ryo Imai , Tatsuya Kubokawa , Malay Ghosh

Shrinkage methods are frequently used to improve the precision of least squares estimators of fixed effects. However, widely used shrinkage estimators guarantee improved precision only under strong distributional assumptions. I develop an…

Econometrics · Economics 2025-09-09 Soonwoo Kwon

We propose an empirical Bayes framework for aggregating estimators obtained from several identification functionals associated to the same causal parameter. The central object is a posterior mean that pools a collection of asymptotically…

Methodology · Statistics 2026-04-21 Carlos García Meixide , David Ríos Insua

We seek to improve estimates of the power spectrum covariance matrix from a limited number of simulations by employing a novel statistical technique known as shrinkage estimation. The shrinkage technique optimally combines an empirical…

Astrophysics · Physics 2009-11-13 Adrian C. Pope , István Szapudi

The beta regression model is a useful framework to model response variables that are rates or proportions, that is to say, response variables which are continuous and restricted to the interval (0,1). As with any other regression model,…

Methodology · Statistics 2024-06-27 Luis Firinguetti , Manuel González-Navarrete , Romer Machaca-Aguilar