Stein's method for negatively associated random variables with applications to second-order stationary random fields

DOI10.1017/jpr.2018.13zbMath1401.60040arXiv1710.03106OpenAlexW3105284829MaRDI QIDQ4684934

Nathakhun Wiroonsri

Publication date: 26 September 2018

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

Full work available at URL: https://arxiv.org/abs/1710.03106

zbMATH Keywords

random fieldnegative dependencecorrelation inequalityblock dependence

Mathematics Subject Classification ID

Random fields (60G60) Central limit and other weak theorems (60F05)

Related Items

Complete f-moment convergence for arrays of rowwise m-negatively associated random variables and its statistical applications ⋮ Normal approximation for associated point processes via Stein's method with applications to determinantal point processes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fundamentals of Stein's method
• Compound Poisson approximation with association or negative association via Stein's method
• An application of Stein's method to limit theorems for pairwise negative quadrant dependent random variables
• Central limit theorems for associated random variables and the percolation model
• Uniform bounds in normal approximation under negatively associated random fields
• On the convergence rate in the central limit theorem for associated processes
• Stein's method for diffusion approximations
• Normal fluctuations and the FKG inequalities
• Stein's method for positively associated random variables with applications to the Ising and voter models, bond percolation, and contact process
• Negative association of random variables, with applications
• Normal Approximation by Stein’s Method
• The Monge–Kantorovich Mass Transference Problem and Its Stochastic Applications
• Association of Random Variables, with Applications
• Convergence Properties of the Spline Fit