Wasserstein-2 bounds in normal approximation under local dependence

DOI10.1214/19-EJP301zbMath1412.60043arXiv1807.05741OpenAlexW2962691277MaRDI QIDQ2631861

Yanyan Li

Publication date: 16 May 2019

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.05741

zbMATH Keywords

Stein's methodcentral limit theoremU-statisticsErdős-Rényi random graphlocal dependenceWasserstein-2 distance

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (7)

Normal approximation for generalizedU-statistics and weighted random graphs ⋮ Quadratic transportation cost in the conditional central limit theorem for dependent sequences ⋮ Optimal bounds in normal approximation for many interacting worlds ⋮ Wasserstein-\(p\) bounds in the central limit theorem under local dependence ⋮ Cramér-type moderate deviations under local dependence ⋮ On Stein's factors for Poisson approximation in Wasserstein distance with nonlinear transportation costs ⋮ Arcsine laws for random walks generated from random permutations with applications to genomics

Cites Work

• Unnamed Item
• Berry-Esseen bounds and Edgeworth expansions in the central limit theorem for transport distances
• Upper bounds for minimal distances in the central limit theorem
• Asymptotic expansions based on smooth functions in the central limit theorem
• A central limit theorem for decomposable random variables with applications to random graphs
• On Edgeworth expansions for dependency-neighborhoods chain structures and Stein's method
• Normal approximation under local dependence.
• Existence of Stein kernels under a spectral gap, and discrepancy bounds
• Stein's method, logarithmic Sobolev and transport inequalities
• A high-dimensional CLT in \(\mathcal {W}_2\) distance with near optimal convergence rate
• Normal approximation for nonlinear statistics using a concentration inequality approach
• Normal Approximation by Stein’s Method
• KOLMOGOROV BOUNDS FOR THE NORMAL APPROXIMATION OF THE NUMBER OF TRIANGLES IN THE ERDŐS–RÉNYI RANDOM GRAPH
• A Class of Statistics with Asymptotically Normal Distribution

This page was built for publication: Wasserstein-2 bounds in normal approximation under local dependence