72 citations · 231 across the 61 of their papers we have counts for
5 papers · 1 filter
On the L{é}vy concentration function of Gaussian quadratic forms with applications to second order U-statistics
Abhimanyu Choudhary, Arun Kumar Kuchibhotla
We provide an upper-bound for the L{é}vy concentration function: where is a weighted sum…
Berry-Esseen bounds for multivariate martingale difference sequences in the Kolmogorov distance
Weichen Wu, Dung Le, Arun Kumar Kuchibhotla +1
We derive new Gaussian approximations for finite martingale difference sequences in with respect to the Kolmogorov distance. Under appropriate conditions, our bounds…
On a Probability Inequality for Order Statistics with Applications to Bootstrap, Conformal Prediction, and more
Manit Paul, Arun Kumar Kuchibhotla
``Behind every limit theorem, there is an inequality'' said Kolmogorov. We say ``for every inequality, there is an approximate inequality under approximate regularity conditions.''…
Sharp Debiasing for Smooth Functional Estimation in Banach Spaces
Woonyoung Chang, Arun Kumar Kuchibhotla
This paper studies the estimation of smooth functionals of a mean parameter for a distribution on a general Banach space. We propose a cross-fitted…
Time-uniform conformal and PAC prediction
Kayla E. Scharfstein, Arun Kumar Kuchibhotla
Given that machine learning algorithms are increasingly being deployed to aid in high stakes decision-making, uncertainty quantification methods that wrap around these black box mo…