72 citations · 231 across the 61 of their papers we have counts for
4 papers · 1 filter
All of Linear Regression
Arun K. Kuchibhotla, Lawrence D. Brown, Andreas Buja +1
Least squares linear regression is one of the oldest and widely used data analysis tools. Although the theoretical analysis of the ordinary least squares (OLS) estimator is as old,…
Nested conformal prediction and quantile out-of-bag ensemble methods
Chirag Gupta, Arun K. Kuchibhotla, Aaditya K. Ramdas
Conformal prediction is a popular tool for providing valid prediction sets for classification and regression problems, without relying on any distributional assumptions on the data…
First order expansion of convex regularized estimators
Pierre C Bellec, Arun K Kuchibhotla
We consider first order expansions of convex penalized estimators in high-dimensional regression problems with random designs. Our setting includes linear regression and logistic r…
On Least Squares Estimation under Heteroscedastic and Heavy-Tailed Errors
Arun K. Kuchibhotla, Rohit K. Patra
We consider least squares estimation in a general nonparametric regression model. The rate of convergence of the least squares estimator (LSE) for the unknown regression function i…