Stein's method for positively associated random variables with applications to the Ising and voter models, bond percolation, and contact process

DOI10.1214/16-AIHP808zbMath1393.60030arXiv1603.05322MaRDI QIDQ1635976

Nathakhun Wiroonsri, Larry Goldstein

Publication date: 1 June 2018

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.05322

zbMATH Keywords

positive dependencerandom fieldscorrelation inequalityblock dependence

Mathematics Subject Classification ID

Random fields (60G60) Central limit and other weak theorems (60F05) Statistical thermodynamics (82B30)

Related Items (6)

Stein's method for positively associated random variables with applications to the Ising and voter models, bond percolation, and contact process ⋮ On Tournaments and negative dependence ⋮ Mod-ϕ Convergence, II: Estimates on the Speed of Convergence ⋮ Central limit theorem for exponentially quasi-local statistics of spin models on Cayley graphs ⋮ Stein's method for negatively associated random variables with applications to second-order stationary random fields ⋮ Normal approximation for associated point processes via Stein's method with applications to determinantal point processes

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