626 citations · 759 across the 13 of their papers we have counts for
5 papers · 1 filter
Uniform-in-Submodel Bounds for Linear Regression in a Model Free Framework
Arun Kumar Kuchibhotla, Lawrence D. Brown, Andreas Buja +2
For the last two decades, high-dimensional data and methods have proliferated throughout the literature. Yet, the classical technique of linear regression has not lost its usefulne…
Models as Approximations II: A Model-Free Theory of Parametric Regression
Andreas Buja, Lawrence Brown, Arun Kumar Kuchibhotla +3
We develop a model-free theory of general types of parametric regression for iid observations. The theory replaces the parameters of parametric models with statistical functionals,…
Semi-Supervised linear regression
David Azriel, Lawrence D. Brown, Michael Sklar +3
We study a regression problem where for some part of the data we observe both the label variable () and the predictors (), while for other part of the data only the pre…
Uniform Correlation Mixture of Bivariate Normal Distributions and Hypercubically-contoured Densities That Are Marginally Normal
Kai Zhang, Lawrence D. Brown, Edward George +1
The bivariate normal density with unit variance and correlation is well-known. We show that by integrating out , the result is a function of the maximum norm. The Bayesian i…
Valid post-selection inference
Richard Berk, Lawrence Brown, Andreas Buja +2
It is common practice in statistical data analysis to perform data-driven variable selection and derive statistical inference from the resulting model. Such inference enjoys none o…