4 papers
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 k…
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 -, $β'$- and Gaussian-Voronoi tessellations. The tessellations are…
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…
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…