Uniform bounds in normal approximation under negatively associated random fields

DOI10.1016/J.SPL.2008.07.039zbMath1157.60013OpenAlexW1985695419MaRDI QIDQ1003426

J. Martínez

Publication date: 4 March 2009

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2008.07.039

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (3)

A strong invariance principle for negatively associated random fields ⋮ 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

Cites Work

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• On the convergence rate in the central limit theorem for associated processes
• Precise asymptotics in some strong limit theorems for multidimensionally indexed random variables
• Negative association of random variables, with applications
• On the Convergence Rate in the Central Limit Theorem for Weakly Dependent Random Variables
• Precise asymptotics for a series of T. L. Lai
• Association of Random Variables, with Applications
• The weak convergence for functions of negatively associated random variables
• A weak convergence for negatively associated fields

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