72 citations · 231 across the 61 of their papers we have counts for
6 papers · 1 filter
On the Missing Factor in Some Concentration Inequalities for Martingales
Arun Kumar Kuchibhotla
In this note, we improve some concentration inequalities for martingales with bounded increments. These results recover the missing factor in Freedman-style inequalities and are ne…
On the Symmetry of Limiting Distributions of M-estimators
Arunav Bhowmick, Arun Kumar Kuchibhotla
Many functionals of interest in statistics and machine learning can be written as minimizers of expected loss functions. Such functionals are called -estimands, and can be estim…
Algorithmic Forecasting of Extreme Heat Waves
Richard A. Berk, Amy Braverman, Arun Kumar Kuchibhotla
This paper provides some foundations for valid forecasting of rare and extreme heat waves through a better understanding of the similarities and differences between several consecu…
Assumption-Lean Honest Inference for -functionals
Woonyoung Chang, Arun Kumar Kuchibhotla
We develop a general assumption-lean framework for constructing uniformly valid confidence sets for functionals defined by moment equalities, referred to as -functionals. Our ap…
Generalized van Trees inequality: Local minimax bounds for non-smooth functionals and irregular statistical models
Kenta Takatsu, Arun Kumar Kuchibhotla
In a decision-theoretic framework, the minimax lower bound provides the worst-case performance of estimators relative to a given class of statistical models. For parametric and sem…
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…