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math.ST2026
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.''…
math.ST2026
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…