72 citations · 231 across the 61 of their papers we have counts for
6 papers · 2 filters
Rectangular Hull Confidence Regions for Multivariate Parameters
Aniket Jain, Arun K Kuchibhotla
We introduce three notions of multivariate median bias, namely, rectilinear, Tukey, and orthant median bias. Each of these median biases is zero under a suitable notion of multivar…
Generalized Asymptotic Limit Theory and Inference for Isotonic Regression
Soham Mallick, Siddhaarth Sarkar, Arun Kumar Kuchibhotla
Monotonicity is a natural shape constraint in nonparametric regression problems, arising for instance when predicting factory yield as a monotone function of labor hours. The widel…
Inference for Projection Parameters in Linear Regression: beyond
Woonyoung Chang, Arun Kumar Kuchibhotla, Alessandro Rinaldo
We consider the problem of inference for projection parameters in linear regression with increasing dimensions. This problem has been studied under a variety of assumptions in the…
Central Limit Theorems and Approximation Theory: Part I
Arisina Banerjee, Arun K Kuchibhotla
Central limit theorems (CLTs) have a long history in probability and statistics. They play a fundamental role in constructing valid statistical inference procedures. Over the last…
Subsample Ridge Ensembles: Equivalences and Generalized Cross-Validation
Jin-Hong Du, Pratik Patil, Arun Kumar Kuchibhotla
We study subsampling-based ridge ensembles in the proportional asymptotics regime, where the feature size grows proportionally with the sample size such that their ratio converges…
Tight Concentration Inequality for Sub-Weibull Random Variables with Generalized Bernstien Orlicz norm
Heejong Bong, Arun Kumar Kuchibhotla
Recent development in high-dimensional statistical inference has necessitated concentration inequalities for a broader range of random variables. We focus on sub-Weibull random var…