3 papers
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.ST2025
Multiply Robust Conformal Risk Control with Coarsened Data
Manit Paul, Arun Kumar Kuchibhotla, Eric J. Tchetgen Tchetgen
Conformal Prediction (CP) has recently received a tremendous amount of interest, leading to a wide range of new theoretical and methodological results for predictive inference with…
math.ST2025
Finite sample valid confidence sets of mode
Manit Paul, Arun Kumar Kuchibhotla
Estimating the mode of a unimodal distribution is a classical problem in statistics. Although there are several approaches for point-estimation of mode in the literature, very litt…