5 papers
Functional central limit theorems for Laguerre tessellations
Chinmoy Bhattacharjee, Anna Gusakova, Christian Hirsch
We study empirical processes of observable extreme generators in stationary Poisson-Laguerre tessellations, with each generator weighted either by one or by the volume of its cell.…
Chaos and Superconcentration for Poisson Functionals with Applications in Stochastic Geometry
Chinmoy Bhattacharjee, Rowan O'Clarey
We consider square-integrable functionals of Poisson point processes for which the variance upper bound provided by the classical Poincaré inequality is suboptimal, a phenomenon kn…
Gaussian approximation for Extreme Points in Laguerre tessellations
Chinmoy Bhattacharjee, Anna Gusakova
We consider Gaussian approximation in three particular models of Poisson-Laguerre tessellations, namely, the -, - and Gaussian-Voronoi tessellations. The tessellations are c…
Gaussian and Bootstrap Approximation for Matching-based Average Treatment Effect Estimators
Zhaoyang Shi, Chinmoy Bhattacharjee, Krishnakumar Balasubramanian +1
We establish Gaussian approximation bounds for covariate and rank-matching-based Average Treatment Effect (ATE) estimators. By analyzing these estimators through the lens of stabil…
Multivariate Gaussian Approximation for Random Forest via Region-based Stabilization
Zhaoyang Shi, Chinmoy Bhattacharjee, Krishnakumar Balasubramanian +1
We derive Gaussian approximation bounds for -Potential Nearest Neighbor (-PNN) based random forest predictions based on a set of training points given by a Poisson process un…