A flexible approach for normal approximation of geometric and topological statistics

Krishnakumar Balasubramanian, Wolfgang Polonik, Zhaoyang Shi

Publication date: 20 August 2024

Published in: Bernoulli (Search for Journal in Brave)

Stein's method Poincaré inequality stochastic geometry central limit theorem normal approximation topological data analysis minimal spanning tree problem Poisson and binomial point processes

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Cites Work

Title not available (Why is that?)
Title not available (Why is that?)
Stochastic analysis for Poisson point processes. Malliavin calculus, Wiener-Itô chaos expansions and stochastic geometry
Limit theory for point processes in manifolds
Poisson process Fock space representation, chaos expansion and covariance inequalities
Normal approximation on Poisson spaces: Mehler's formula, second order Poincaré inequalities and stabilization
A new method of normal approximation
Fluctuations of eigenvalues and second order Poincaré inequalities
Stein's method and normal approximation of Poisson functionals
Second order Poincaré inequalities and CLTs on Wiener space
Sample estimate of the entropy of a random vector
A remainder term estimate for the normal approximation in classical occupancy
New Berry-Esseen bounds for functionals of binomial point processes
A remark on the convergence of Betti numbers in the thermodynamic regime
Strong law of large numbers for Betti numbers in the thermodynamic regime
Efficient multivariate entropy estimation via \(k\)-nearest neighbour distances
Normal approximation for stabilizing functionals
Gaussian limits for random measures in geometric probability
The central limit theorem for weighted minimal spanning trees on random points
Central limit theorems for some graphs in computational geometry.
Degree asymptotics with rates for preferential attachment random graphs
Quantitative two-scale stabilization on the Poisson space
On approximation theorems for the Euler characteristic with applications to the bootstrap
Surface order scaling in stochastic geometry
Minimal spanning trees and Stein's method
Gaussian limits for random geometric measures
Multivariate spatial central limit theorems with applications to percolation and spatial graphs
Limit theorems for process-level Betti numbers for sparse and critical regimes
Foundations of Modern Probability
Asymptotic Statistics
Geometric and Topological Inference
Functional limit theorems for the euler characteristic process in the critical regime
Rates of multivariate normal approximation for statistics in geometric probability

This page was built for publication: A flexible approach for normal approximation of geometric and topological statistics

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6589583)