4 papers
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.''…
Multiply Robust Conformal Risk Control with Coarsened Data
Manit Paul, Arun Kumar Kuchibhotla, Eric J. Tchetgen Tchetgen
Conformal Prediction (CP) provides prediction sets with formal coverage guarantees, but most existing methods assume fully observed training and calibration data. In many applicati…
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…
Inference for Median and a Generalization of HulC
Manit Paul, Arun Kumar Kuchibhotla
It is well-documented in the literature that sample splitting offers significant methodological and theoretical advantages in statistical inference. This, for example, includes cro…